What assumptions have you made to obtain the required mechanical advantage? Solutions: Assumptions made are (i) There is no friction in the drawn pulley bearing. (ii) The drawn pulleys and the...
A block and tackle system has the velocity ratio 3. Draw a labelled diagram of the system indicating the points of application and the directions of load L and effort E. A man can exert a pull of 200 kgf.
(a) What is the maximum load he can raise with this pulley system if its efficiency is 60%? (b) If the effort end moves a distance 60 cm, what distance does the load move? Solutions: According to...
Figure shows a block and tackle system of pulleys used to lift a load.
(a) How many strands of tackle are supporting the load?(b) Draw arrows to represent tension T in each strand.(c) What is the mechanical advantage of the system?(d) When load is pulled up by a...
Figure shows a system of four pulleys. The upper two pulleys are fixed and the lower two are movable.
(a) Draw a string around the pulleys. Also show the point of application and direction in which the effort E is applied.(b) What is the velocity ratio of the system?(c) How are load and effort of...
A pulley system has a velocity ratio 3. Draw a diagram showing the point of application and direction of load (L), effort (E) and tension (T). If lifts a load of 150 N by an effort of 60 N. Calculate its mechanical advantage. Is the pulley system ideal? Give reason.
Solutions: According to the question, Load is 150 N and Effort is 60 N Using the expression of Mechanical advantage, we have M.A. = Load / Effort = 150 / 60 M.A. = 2.5 The M.A. should be equal to n...
In figure draw a tackle to lift the load by applying the force in the download direction.
(a) Mark in the diagram the direction of load L and effort E. (b) If the load is raised by 1 m, through what distance will the effort move? (c) State how many strands of tackle are supporting the...
A block and tackle system has 5 pulleys. If an effort of 1000 N is needed in the downward direction to raise a load of 4500 N, calculate:
(a)The mechanical advantage, (b)The velocity ratio and, (c)The efficiency of the system. Solutions: According to the question, a block and tackle system has 5 pulleys (n = 5) Effort is 1000 N and...
In a block and tackle system consisting of 3 pulleys, a load of 75 kgf is raised with an effort of 25 kgf.
Find: (i) the mechanical advantage, (ii) the velocity ratio, and (iii) the efficiency. Solutions: According to the question - Load is 75 kgf Effort is 25 kgf number of pulleys = n = 3 The expression...
A single fixed pulley and a movable pulley both are separately used to lift a load of 50 kgf to the same height. Compare the efforts applied.
Solutions: We know that in case of a single fixed pulley, the effort (Ef) needed to lift a load is the load itself. Therefore, Ef = L = 50kgf In case of a movable pulley, the effort needed to lift a...
A fixed pulley is driven by a 100 kg mass falling at a rate of 8.0 m in 4.0 s. It lifts a load of 75.0 kgf. Calculate:
(a) The power input to the pulley taking the force of gravity on 1 kg as 10 N. (b) the efficiency of the pulley, and (c) the height to which the load is raised in 4.0 s. Solutions:...
A woman draws water from a well using a fixed pulley. The mass of the bucket and water together is 6 kg. The force applied by the women is 70 N. calculate the mechanical advantage. (Take g = 10 m s-2).
Solutions: According to the question - The force applied by the woman is 70 N The mass of bucket and water put together is 6 kg So, total weight = Mg Therefore, Total load = 6 × 10 = 60 N Expression...
A movable pulley is used as :
(a) a force multiplier(b) a speed multiplier(c) a device to change the direction of effort(d) an energy multiplier Solution - The correct option is (a). As a force multiplier, a movable pulley is...
The mechanical advantage of an ideal single movable pulley is:
(a) 1(b) 2(c) less than 2(d) less than 1. Solutions: The correct option is (b) 2. Mechanical advantage of an ideal single movable pulley is 2 derivation of which is given below: According to given...
A single fixed pulley is used because it:
(a) Has a mechanical advantage greater than 1(b) Has a velocity ratio less than 1(c) Gives 100% efficiency(d) Helps to apply the effort in a convenient direction. Solutions: The correct option is...
State whether the following statements are true or false.
(c) The velocity ratio of a combination of n movable pulleys with a fixed pulley is always 2n. (d) The velocity ratio of a block and tackle system is always equal to the number of strands of the...
State whether the following statements are true or false.
(a) The velocity ratio of a single fixed pulley is always more than 1. (b) The velocity ratio of a single movable pulley is always 2. Solutions ;...
Name a machine which is used to:
Solutions: (a) Multiply force – a movable pulley is used (b) Multiply speed – Class III lever (c) Change the direction of force applied – single fixed pulley
Give reasons for the following:
(c) In the case of a block and tackle system, the mechanical advantage increases with the increase in the number of pulleys.(d) The lower block of a block and tackle pulley system must be of...
Give reasons for the following:
(a) In a single fixed pulley, the velocity ratio is always more than the mechanical advantage.(b) The efficiency of a movable pulley is always less than 100%. Solutions - (a) In a single fixed...
Draw a diagram of a block and tackle system of pulleys having a velocity ratio of 5. In your diagram indicate clearly the points of application and the directions of the load L and effort E. Also mark the tension T in each strand.
Solutions:
Draw a diagram of combination of three movable pulleys and one fixed pulley to lift up a load. in the diagram, show the directions of load, effort and tension in each strand.
Find: (i) the mechanical advantage, (ii) velocity ratio and (iii) the efficiency of the combination in ideal situation. Solutions: (i) According to the diagram given above the Tension T1 in the...
The diagram alongside shows and arrangement of three pulleys A, B and C. The load is marked as L and the effort as E.
(a) Name the pulleys A, B and C. (b) Mark in the diagram the direction of load (L), effort (E) and tension T1 and T2 in the two strings. (c) How are the magnitudes of L and...
State four differences between a single fixed pulley and a single movable pulley.
Solutions: Single fixed pulley : a) It is fixed to a rigid support b) Its ideal mechanical advantage is 1 c) Its velocity ratio is 1 d) The weight of pulley itself does not affect its mechanical...
The diagram alongside shows a pulley arrangement.
(c) What is the purpose of the pulley B?(d) If the tension is T, deduce the relation between (i) T and E, and (ii) E and L.(e) What is the velocity ratio of the arrangement?(f) Assuming that the...
The diagram alongside shows a pulley arrangement.
(a) Name the pulleys A and B.(b) In the diagram, mark the direction of tension on each strand of string. Solution Diagram for both (a) and (b)
Draw a labelled diagram of an arrangement of two pulleys, one fixed and other moveable. In the diagram, mark the directions of all forces acting on it. What is the ideal mechanical advantage of the system? How can it be achieved?
Solutions: This system's optimal mechanical advantage is 2. This can be accomplished by assuming that the string and the pulley are massless, and that there is no friction between the string and the...
In a single movable pulley, if the effort moves by a distance x upwards, by what height is the load raised?
Solutions: We must keep in mind that velocity ratio is 2 for a single movable pulley. When a load is lifted down by a certain distance, the force used to lift it must be applied twice as far. This...
What is the velocity ratio of a single movable pulley? How does the friction in the pulley bearing affect it?
Solutions: The velocity ratio of a single movable pulley is always 2. The friction in the pulley bearing has no effect. When a load is lifted down by a certain distance, the force must be applied...
In which direction the force need be applied, when a single pulley is used with a mechanical advantage greater than 1? How can you change the direction of force applied without altering its mechanical advantage? Draw a labelled diagram of the system.
Solutions: It is necessary to apply the force in an upward direction.The direction of the applied force can be altered without affecting its mechanical advantage by utilising a single moveable...
Give two reasons why the efficiency of a single movable pulley system is not 100%.
Solutions: Because of the following factors, the efficiency of a single movable pulley system is not 100 percent. (i) The pulley bearing friction is not zero.(ii) The pulley and string do not have...
Name the type of single pulley that has an ideal mechanical advantage equal to 2. Draw a labeled diagram of the pulley mentioned by you.
Solutions: The single movable pulley acts as a force multiplier. A moving pulley has a mechanical advantage of 2. This means that any object hooked to a moving pulley will require half the force to...
What is a single movable pulley? What is its mechanical advantage in the ideal case?
Solutions: A single movable pulley is a single pulley whose axis of rotation is movable. The mechanical advantage for the ideal case is 2. A moving pulley has a mechanical advantage of 2. This means...
In a single fixed pulley, if the effort moves by a distance x downwards, by what height is the load raised upwards?
Solutions: The load rises with the distance x upwards. There is no mechanical benefit with a single fixed pulley. A single fixed pulley is solely used to shift the direction in which the effort is...
What is the velocity ratio of a single fixed pulley?
Solutions: Theoretically, the velocity ratio of a single fixed pulley is 1. In practice, whether the pulley is frictionless or has friction, the velocity ratio for a given machine is always the...
Name the pulley which has no gain in mechanical advantage. Explain, why is such a pulley is then used?
Solutions: There is no mechanical benefit with a single fixed pulley. A single fixed pulley is solely used to shift the direction in which the effort is applied, allowing the effort to be applied in...
What is the ideal mechanical advantage of a single fixed pulley? Can it be used as a force multiplier?
Solutions: A single fixed pulley has a mechanical advantage of 1. It isn't possible to use it as a force multiplier.
What is a fixed pulley? State its one use.
Solutions: A fixed pulley is defined as "a pulley with its axis of rotation stationary in position." This pulley is used to hoist a tiny load, such as a pail of water.
A fire tongs has its arms 20 cm long. It is used to lift a coal of weight 1.5kgf by applying an effort at a distance 15 cm from the fulcrum. Find: (i) the mechanical advantage of fire tongs and (ii) the effort needed.
Solutions: According to the question, Length of arms of fire tong is 20 cm Effort arm is 15 cm long and the length of Load arm is 20 cm (i) Expression for the Mechanical advantage is M.A. = Effort...
The diagram below shows the use of a lever.
(a) State the principle of moments as applied to the above lever. (b) To which class of lever does it belong? Give an example of this class of lever. (c) If FA = 10cm, AB = 490cm, calculate: (i) the...
The figure shows a wheelbarrow of mass 15 kg carrying a load of 30 kgf with its centre of gravity at A. The points B and C are the centre of wheel and tip of the handle such that the horizontal distance AB = 20 cm and AC = 40 cm.
Find: (a) the load arm, (b) the effort arm, (c) the mechanical advantage, and (d) the minimum effort required to keep the leg just off the ground. Solutions: (a) According to the diagram, (a) Load...
The diagram below shows a lever in use.
(a) To which class of lever does it belong?(b) If FA = 80 cm, AB = 20 cm, find its mechanical advantage.(c) Calculate the value of E. Solutions: (a) It belongs to class II lever. (b) According to...
A lever of length 9 cm has its load arm 5 cm long and the effort arm is 9 cm long.
(c) What is the mechanical advantage and velocity ratio if the efficiency is 100%? (d) What will be the mechanical advantage and velocity ratio if the efficiency becomes 50%? Solution (c) According...
A lever of length 9 cm has its load arm 5 cm long and the effort arm is 9 cm long. (a) To which class does it belong? (b) Draw diagram of the lever showing the position of fulcrum F and directions of both the load L and effort E.
Solutions: (a) The effort arm is the same length as the lever. The load arm is also greater than the effort arm. As a result, this lever is classified as a class II lever. (b)
A 4 m long rod of negligible weight is to be balanced about a point 125 cm from one end and a load of 18 kgf is suspended at a point 60 cm from the support on the shorter arm.
(a) If a weight W is placed at a distance of 250 cm from the support on the long arm, Find W.(b) If a weight 5 kgf is kept to balance the rod, find its position.(c) To which class of lever does it...
A pair of scissors is used to cut a piece of a cloth by keeping it at a distance 8.0 cm from its rivet and applying an effort of 10 kgf by fingers at a distance 2.0 cm from the rivet.
(a) Find: (i) the mechanical advantage of scissors and (ii) the load offered by the cloth. (b) How does the pair of scissors act: as a force multiplier or as a speed multiplier? Solutions: According...
A man uses a crowbar of length 1.5 m to raise a load of 75kgf by putting a sharp edge below the bar at a distance 1 m from his hand. (a) Draw a diagram of the arrangement showing the fulcrum (F), load (L) and effort (E) with their directions. (b) State the kind of lever. (c) Calculate: (i) load arm, (ii) effort arm, (iii) mechanical advantage, and (iv) the effort needed.
Solutions: As evident form the diagram, crowbar is a class I lever. According to the question - (i) Total length of crowbar is 1.5 m Effort arm is 1 m long Load arm then becomes 1.5 – 1 = 0.5 m long...
The diagram below shows a lever in use.
(a) To which class of lever does it belong? (b) If AB =1 m, AF= 0.4 m, find its mechanical advantage. (c) Calculate the value of E. Solutions: (a) According to the diagram, this belongs to a Class I...
A force of 5kgf is required to cut a metal sheet. A shears used for cutting the metal sheet has its blades 5 cm long, while its handle is 10 cm long. What effort is needed to cut the sheet?
Solutions: According to the question, Effort arm is 10 cm long Load arm is 5 cm long Expression for Mechanical advantage is M.A. = Effort arm / Load arm = 10 / 5 M.A. = 2 For effort, the expression...
A pair of scissors has its blades 15 cm long, while its handles are 7.5 cm long. What is its mechanical advantage?
Solutions: According to the question, Effort arm is 7.5 cm long Load arm is 15 cm Expression for Mechanical advantage is M.A = Effort arm / Load arm = 7.5 / 15 M.A. = 0.5
A crowbar of length 120 cm has its fulcrum situated at a distance of 20 cm from the load. Calculate the mechanical advantage of the crowbar.
Solutions: According to the question, Total length of a crowbar is120 cm Load arm is of length 20 cm Effort arm then becomes = 120 – 20 = 100 cm We know that the expression for Mechanical advantage...
Class II levers are designed to have:
a. M.A. = V.R. b. M.A. > V.R. c. M.A. > 1 d. M.A. < 1 Solutions: The correct option is (c) Class II levers are designed to have- M.A. > 1
The lever for which the mechanical advantage is less than 1 has the:
(a) Fulcrum at mid-point between load and effort. (b) Load between effort and fulcrum. (c) Effort between fulcrum and load. (d) Load and effort acting at the same point. Solutions: The correct...
Select the incorrect statement:
(a) A machine always has the efficiency less than 100%. (b) The mechanical advantage of a machine can be less than 1. (c) A machine can be used as a speed multiplier. (d) A...
The correct relationship between the mechanical advantage (M.A.), velocity ratio (V.R.) and efficiency (η) is:
a. M.A. = η x V.R. b. V.R. = η x M.A. c. η = M.A. x V.R. d. None of these Solutions: The mechanical advantage (M.A) is the product of velocity ratio (V.R)...
Mechanical advantage (M.A.), load (L) and effort (E) are related as:
a. M.A. = L x E b. M.A. x E = L c. E = M.A. x L d. None of these Solutions: Mechanical advantage (M.A.) is the product of load (L) and effort (E). We can write it as - M.A × E =...
Complete the following sentences:
(a) Mechanical advantage = ___________ × velocity ratio (b) In class II lever, effort arm is __________ than the load arm. (c) A scissors is a ___________ multiplier....
Give an example of each class of lever in a human body.
Solutions: The examples of each known class of lever in a human body are : (i) Nodding of the head is a Class I lever action. The spine serves as the fulcrum in this situation, with the load at the...
Indicate the positions of load L, effort E and fulcrum F in the forearm shown below. Name the class of lever.
Solutions: It is a Class III lever as shown below -
What type of lever is formed by the human body while
(a) raising a load on the palm, and (b) raising the weight of body on toes? Solutions: (a) A Class III lever is one that raises a load on the palm.The fulcrum is the human arm's elbow in this case....
Classify the following into levers as class I, class II or class III:
Solutions: (a) A door – Class II (b) A catapult – Class I (c) A wheelbarrow – Class II (d) A fishing rod – Class III
Draw diagrams to illustrate the position of fulcrum, load and effort, in each of the following:
(c)A nutcracker (d)Forceps Solutions: (c)A nutcracker (d)Forceps
Draw diagrams to illustrate the position of fulcrum, load and effort, in each of the following:
(a)A seesaw (b)A common balance Solutions: (a) A sea-saw (b) A common balance
State the class of levers and the relative positions of load (L), effort (E) and fulcrum (F) in
(a) a bottle opener, and (b) sugar tongs. Solutions: (a) A bottle opener is a Class II lever because the fulcrum F and the effort E are at opposite ends of the lever, and the load is in the middle....
Draw a labelled sketch of a class III lever. Give one example of this kind of lever.
Solutions: Example : knife
Classes III levers have mechanical advantage less than 1. Why are they then used?
Solutions: With Class III levers, we gain speed rather than force, i.e. a bigger displacement of load is obtained with a smaller displacement of effort.
Explain why the mechanical advantage of the class III lever is always less than 1.
Solutions: The effort E is located between the fulcrum F and the load L in a Class III lever. As a result, the load arm is always smaller than the effort arm. Therefore, M.A. is always less than 1...
The diagram below shows a rod lifting a stone.
(a) Mark position of fulcrum F and draw arrows to show the directions of load L and effort E. (b) What class of lever is the rod? (c) Give one more example of the same class of lever stated in part...
Shows a lemon crusher.
(a) In the diagram, mark the position of the directions of load L and effort E. (b) Name the class of lever. Solutions: (a) (b) It is a class II lever.
Explain why the mechanical advantage of a class II type of lever is always more than 1.
Solutions: The fulcrum F and the effort E are at the two extremities of a Class II lever, and the load L is halfway between the effort E and the fulcrum F. Therefore, the load and the effort are on...
Draw a diagram of a lever which is always used as a force multiplier. How is the effort arm related to the load arm in such a lever?
Solutions: Class II lever The effort arm is longer than the load arm in this type of lever.
Which type of lever has a mechanical advantage always more than 1? Give reason with one example. What change can be made in this lever to increase its mechanical advantage?
Solutions: Class II lever have a mechanical advantage of greater than one. Reason - The fulcrum F and the effort E are at the two extremities of a Class II lever, and the load L is halfway between...
Figure shows a uniform metre rule of weight W supported on a fulcrum at the 60 cm mark by applying the effort E at the 90 cm mark.
(a) State with reasons whether the weight W of the rule is greater than, less than or equal to the effort E. (b) Find the mechanical advantage in an ideal case....
Explain why scissors for cutting cloth may have blades longer than the handles, but shears for cutting metals have short blades and long handles.
Solutions: The blades of a pair of scissors used to cut a piece of cloth are longer than the handles. This allows the blades to move farther on the material when the handles are moved a bit.Short...
Both a pair of scissors and a pair of pliers belong to the same class of levers. Name the class of lever. Which one has the mechanical advantage less than 1?
Solutions: A pair of scissors and pliers are both examples of class I levers.The mechanical advantage of a pair of scissors is less than one.
What is the use of lever if its mechanical advantage is
(a) more than 1, (b) equal to 1, and (c) less than 1? Solutions: (a) When the mechanical advantage is greater than one, the lever acts as a force multiplier, allowing us to overcome a big resistive...
Give one example each of a class I lever where the mechanical advantage is (a) more than 1, and (b) less than 1.
Solutions: (a) Shears, which are used to cut thin metal sheets, have multiple mechanical advantages. (b) For a mechanical advantage of less than one: a pair of scissors with blades that are longer...
Name the three classes of levers and state how are they distinguished. Give two examples of each class.
Solutions: The three types of levers are as follows: (i) Class I levers: The fulcrum F is located between the effort E and the load L in this type of lever.A claw hammer, a beam from a physical...
Write down a relation expressing the mechanical advantage of a lever.
Solutions: The expression of a lever's mechanical advantage is – M.A. = (Effort arm) / (Load arm) It is simply the ratio of effort arm to the load arm.
What is a lever? State its principle.
Solutions: A lever is a stiff, straight or bent rod that may rotate around a fixed axis. The principle of moments governs the operation of a lever. The rod is supposed to be weightless and there is...
State one reason why is mechanical advantage less than the velocity ratio for an actual machine.
Solutions: Because there is a loss of energy due to friction, the output work is always less than the input work for an actual machine. As a result, the efficiency is always less than one.
How is the mechanical advantage related to the velocity ratio for an actual machine? State whether the efficiency of such a machine is equal to 1, less than 1 or more than 1.
Solutions: For an actual machine, the mechanical advantage is defined as the product of its efficiency and velocity ratio. Expression for machine advantage is M.A. = V.R. × η The efficiency of...
Derive a relationship between mechanical advantage, velocity ratio and efficiency of a machine.
Solutions: Allow a machine to overcome a load L by exerting effort E. Let dE be the effort displacement and dL be the load displacement in time t. Then, work input and output becomes : Work input =...
(a) State the relationship between mechanical advantage, velocity ratio and efficiency.
(b) Name the term that will not change for a machine of a given design. Solutions: (a) A machine's mechanical advantage is the product of its efficiency and velocity ratio.M.A = V.R × η(b) For...
A machine works as a (i) force multiplier, (ii) speed multiplier.
In each case state whether the velocity ratio is more than or less than 1? Solutions: (i) For a machine that works as a force multiplier, the displacement of the load is smaller than the...
When does a machine act as
(a) a force multiplier and (b) a speed multiplier? Can a machine act as a force multiplier and speed multiplier simultaneously? Solutions: (a) The machine operates as a force multiplier when the...
Define the term efficiency of a machine. Give two reasons for a machine not to be 100% efficient?
Solutions: The term efficiency of a machine is defined as the ratio of the machine's work on a load to the work done on the machine by the effort, or efficiency is the ratio of work output to work...
How is mechanical advantage related to the velocity ratio for
(i) an ideal machine, (ii) a practical machine? Solutions: Work output equals work input in a perfect machine, implying 100% efficiency. And also that the the mechanical advantage is numerically...
Define the term velocity ratio. State its unit.
Solutions: The term velocity ratio means - The velocity of the effort to the velocity of the load of a machine. The velocity ratio has no unit because it is the ratio of two identical...
Explain the term mechanical advantage. State its unit.
Solutions: The mechanical advantage of the machine is defined as the load to effort ratio. Mechanical advantage has no unit because it is the ratio of two similar quantities.
What do you understand by an ideal machine? How does it differ from a practical machine?
Solutions: A perfect machine is one whose parts are weightless and frictionless, with no energy dissipation occurs in any way. Because the work output equals the work input, the efficiency is 100...
What is the purpose of a jack in lifting a car by it?
Solutions: The goal of a jack in lifting a car is to make it easier than the weight so that it can act as a force multiplier.
Name a machine for each of the following use:
(a) to change the direction of force, (b) to obtain the gain in speed. Solutions:...
Name a machine for each of the following use:
(a) to multiply the force, (b) to change the point of application of force...
State four ways in which machines are useful to us?
Solutions: We can benefit from machines in the following ways: (a) Reducing the amount of effort required to lift a large weightb) Changing the location at which effort is applied to a more...
(a) What do you understand by a simple machine?
(b) State the principle of an ideal machine. Solutions: (a) A machine is a mechanism that allows us to overcome a big resistive force (or load) at a specific place by applying a modest force (or...