A body initially at rest and sliding along a frictionless track from a height $h$ (as shown in the figure) just completes a vertical circle of diameter $AB = D$ . The height $h$ is equal to,

Question

A body initially at rest and sliding along a frictionless track from a height h (as shown in the figure) just completes a vertical circle of diameter AB = D . The height h is equal to,

Quantrex Academy · Accepted Answer

Correct answer: D. (5)/(4)D

To just complete a vertical circle, speed at A should be v _ A = 5gR Using energy conservation mgh = (1)/(2)m v _ A ^ 2 h = (1)/(2) v _ A ^ 2 g = (1)/(2)(5g)/(g)(D)/(2) (R = (D)/(2)) h = (5D)/(4)

A body initially at rest and sliding along a frictionless track...

Options

Correct answer

Step-by-step solution

More from Work, Power and Energy