Question

The maximum kinetic energy of a simple pendulum is 'K'. Its displacement in terms of amplitude 'a', when kinetic energy becomes `(K/2)` is ______.

Options

• `a/sqrt2`

• `a/sqrt3`

• `a/3`

• `a/2`

Answer 1

The maximum kinetic energy of a simple pendulum is 'K'. Its displacement in terms of amplitude 'a', when kinetic energy becomes `(K/2)` is `underline(a/sqrt2)`.

Explanation:

`k=1/2"m"omega^2a^2`

k ∝ a²

`thereforek/(k/2)=a^2/x^2=2`

`thereforex=a/sqrt2`