Question

A sphere is accelerated upwards with the help of a cord whose breaking strength is five times its weight. The maximum acceleration with which the sphere can move up without cord breaking is

• A. 4g
• B. 3g
• C. 2g
• D. g

Answer 1

Answer: (A)

4g

Answer 2

Tension in the cord = m(g + a) and breaking strength = 5 mg

For critical condition $m ( g + a ) = 5 m g$ ⇒ $a = 4 g$

This is the maximum acceleration with which the sphere can move up with cord breaking.