Question

- At what height from the base of a pillar
must the end of a rope of given length
be fixed so that a man standing on the
ground and pulling it at the other end with
given force may have the greatest tendency
to make the pillar overturn.​

Answer 1

Answer:

l/√2

Explanation:

the piller will be overturn at the hight from the base is l√2

Answer 2

The height of the pillar is l/√2 units.

Explanation:

The pillar and the rope form the right angled triangle. When the pillar is overturn then,

Height of pillar = Distance between man and base of pillar

On applying Pythagorean theorem, we get,

x² + x² = l²

2x² = l²

x² = l²/2

On taking square root on both sides, we get,

∴ x = l/√2