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Classical Mechanics

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Moderate

Pendulum Length

CLMECH-KAEFCY

A massless string is hanging from a ceiling. A small sphere is attached to the other end of the string. The sphere is then pulled to one side, so that the string makes an angle $\theta = 24^o$ with the vertical, and the sphere is let go.

If the sphere passes through its equilibrium position at $1.2 \space \cfrac {m}{s}$, how long is the string?

Neglect friction.

A

$0.84 \space m$

B

$0.073 \space m$

C

$1.7 \space m$

D

$0.12 \space m$