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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 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.
Class 10 | ICSE | Machines | Physics | Selina
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 to the question –

Effort arm is 2 cm long

Load arm is 8.0 cm long

And the effort is 10 kgf

(i) Expression for Mechanical advantage is –

M.A. = Effort arm / Load arm = 2 / 8

M.A. = 0.25

(ii) The expression for calculating load is –

Load = M.A. × effort = 0.25 × 10

Load = 2.5 kgf

The pair of scissors acts as a speed multiplier since the mechanical advantage is less than 1 i.e M.A < 1

i

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