A pendulum bob of mass m swings in a horizontal plane when the string makes an angle θ with vertical. What minimum additional KE should we impart to the bob so that the string becomes horizontal by giving tangential impulse?
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Answer:
Tension not only provides the centripetal force necessary for circular motion but also balances the component of weight along the string.
component of weight along the string is mgcosθ.
Thus, T−mgcosθ=
L
mv
2
⇒T=mgcosθ+
L
mv
2
.
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