1) Three identical uniform blocks of length L are stacked on top of each other.

By sliding the middle and top blocks towards the right, what is the furthest horizontal distance that can be achieved between side X and Side Y before any block topples?

2) 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?

3) Some office filing cabinets have a mechanism that allows only one drawer to be opened at a time as shown below.

If more drawers are opened at the same time the cabinet may topple forward.

Why is this so?

4) 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?

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

Which is the smallest force that would tilt the block?