a) Can an object executing SHM have acceleration without having velocity? b) Can an ideal simple pendulum be constructed in practice? Give reason too.

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TextSimple Pendulum and Its Motion

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Consider simple pendulum — a small bob of mass m tied to an inextensible massless string of length L. The other end of the string is fixed to a rigid support. The bob oscillates in a plane about the vertical line through the support. Let θ be the angle made by the string with the vertical.

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What are the two basic characteristics of a simple harmonic motion? When will the motion of a simple pendulum be simple harmonic?

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