Question

A mechanic unscrew a nut by applying a
force of 140 N with a spanner of length
40 cm. What should be the length of the
spanner if a force of 40 N is applied to
unscrew the same nut?​

Answer 1

Question :

A mechanic unscrew a nut by applying a

force of 140 N with a spanner of length

40 cm. What should be the length of the

spanner if a force of 40 N is applied to

unscrew the same nut ?

To Find :

Length of the Spanner

Solution :

Force acting on the screw F1 = 140N

Second force applied to the screw F2 = 40N

Let the length og spanner be d2

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According to the principle of moments ,

F1 × d1 = F2 × d2

= 140 × 40 = 40 × d2

$∴ d2 = \frac{140 \times 40}{40}$

$= 140 = {10}^{ - 2} m$

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Length of a spanner = 140 × 10^-2

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