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A simple pendulum performs simple harmonic motion about x =0 with an amplitude a and time period T. The speed of the pendulum at x = a / 2 will be :

Options

  1. Aa 3 ~T
  2. Ba 3 2 ~T
  3. Ca T
  4. D3 ^2 a T

Correct answer

A. a 3 ~T

Step-by-step solution

v = A ^2- x ^2 = 2 T a ^2- a ^2 4 = a 3 ~T

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