a student balances a 1.5kg of broom by placing her finger 1.4m from the end of the broom handle. How far from the broom handle would she have to balance the broom if she hung a 400g mass from the end of the broom handle?​

Respuesta :

The broom handle that she have to balance if she hung a 400g mass from the end of the broom handle is 5.24m

This problem is centered on moment. Moment is the turning effect of a force about a point. It is expressed as:

Moment = Force× Distance

According to principle of moment, the sum of clockwise moment is equal to sum of anticlockwise moment at shown

M1d1 = M2d2

Given the following

M1 = 1.5kg

d1 = 1.4m

M2 = 400g = 0.4kg

d2 is required

Substitute

1.5(1.4) = 0.4d2

2.1 = 0.4d2

d2 = 2.1/0.4

d2 = 5.24m

Hence the broom handle that she have to  if she hung a 400g mass from the end of the broom handle is 5.24m

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