Questions on Moments

Q6.

(a) A ladder is hung on one hook so that it balances horizontally. Draw an arrow on the diagram to show the position of the hook.

In the middle

(1 mark)

(b) A window cleaner puts the ladder on his shoulder in the position shown.

(i) The weight of the ladder acts 0.45m from his shoulder, as shown. Calculate the turning effect, or moment, about his shoulder due to the weight of the ladder.

Moment = Fd

Moment = 100 N x 0.45 m

Moment = 45 N m

 

(2 marks)

(ii) The window cleaner hooks his bucket onto the ladder as shown in the diagram.

The bucket weighs 30 N. His bucket balances the ladder.

Calculate the distance the bucket has been placed from his shoulder.

Moment = Fd

d = Moment/F

d = 45/30

d = 1.5 m

(3 marks)

Total 6 marks