1) A lamp is fixed to the wall by two bolts, X and Y.

The weight of the lamp is 60 N.

What are the magnitudes and directions of the horizontal forces exerted by the lamp on the bolts X and Y?

2) A light uniform metre rule is held horizontal by two strings which have tensions T₁ and T₂. Two forces of 25 N and 70 N act at the 15 cm and 75 cm marks respectively. What is the magnitude of T₁ and T₂?

3) A heavy uniform block is placed on the ground as shown below.

Which is the smallest force that would tilt the block?

4) A balancing toy (blue) is balanced upon a triangular base (red).

When the toy is pushed slightly to one side, it swings back to its original position.

Where is the centre of gravity of the balance toy?

5) A 10.0 m long uniform beam of mass 60.0 kg rests on two supports P and Q.

Cement bags, each of mass 5.0 kg, were placed on the beam at a distance of 1.8 m from Q as shown.

What is the least number of cement bags that can be placed on the beam to make it topple?