Question

A rod of length 'L' is hung from its one end and a mass 'm' is attached to its free end. What tangential velocity must be imparted to 'm'. so that it reaches the top of the vertical circle? (g = acceleration due to gravity)

Options

• `4sqrt"gL"`

• `2sqrt"gL"`

• `5sqrt"gL"`

• `3sqrt"gL"`

Answer 1

`2sqrt"gL"`

Explanation:

h = 2L

`1/2`mv² = mg2L

v₂ = 4gL

v = `2sqrt"gL"`