A bob of mass M is suspended by a massless string of length L. The horizontal velocity 𝑣 at position A is just sufficient to make it reach the point B. The angle πœƒ at which the speed of the bob is half of that at A, satisfies

Question : A bob of mass M is suspended by a massless string of length L. The horizontal velocity 𝑣 at position A is just sufficient to make it reach the point B. The angle πœƒ at which the speed of the bob is half of that at A, satisfies

(A) \theta =\dfrac{\pi }{4}

(B) \dfrac{\pi }{4} <\theta <\dfrac{\pi }{2}

(C) \dfrac{\pi }{4} <\theta <\dfrac{3\pi }{2}

(D) \dfrac{3\pi }{4} <\theta <\pi

Answer : option (D)

Solution :

A bob of mass M is suspended by a massless string of length L. The horizontal velocity 𝑣 at position A is just sufficient to make it reach the point B. The angle πœƒ at which the speed of the bob is half of that at A, satisfies
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