In a block and tackle system consisting of 3 pulleys, a load of 75 kgf is raised with an effort of 25 kgf.
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 of mechanical advantage is

M.A. = Load / Effort = 75 / 25

M.A. = 3

Therefore, M.A. = n = 3

Similarly, Velocity ratio = numbers of pulleys

So, V.R. = n = 3

Expression for the efficiency is

η = M.A. / V.R. 3 / 3

Thus, η = 1 or 100%