A simple pendulum of length ‘l’ carries a bob of mass m. If the breaking strength of the string is $$2$$ mg, the maximum angular amplitude from the vertical can be

Question

Infinity Learn · Accepted Answer

When the bob moves from extreme position to mean position , it loses its potential energy and gains kinetic.Energy , speed of the bob becomes maximum and tension induced in the string also becomes maximum,.: $$1/2$$ $$mV2max$$ $$=$$ $$mgh$$ $$=$$ mgl (1-$$ $$cos$$ θ$$)⇒ $$mV2$$ max $$/l$$ $$=$$ $$2mg$$ (1-$$ $$cos$$θ$$)Tmax$$ $$=$$ mg $$+$$ $$mV2$$ max $$/$$ l⇒ $$2mg$$ $$=$$ mg $$+$$ $$2mg$$ $$(1-$$$$cos$$ θ $$)⇒ $$cos$$ θ $$=$$ $$1/2$$ ⇒ θ $$=$$ $$600$$

A simple pendulum of length ‘l’ carries a bob of mass m. If the breaking strength of the string is 2 mg, the maximum angular amplitude from the vertical can be

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