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NEET2009PhysicsOscillationsActual

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 2 ~T
  2. Ba T
  3. C3 ^2 a T
  4. Da 3 ~T

Correct answer

D. a 3 ~T

Step-by-step solution

aligned v= d y d t =A t & =A 1- ^2 t & = A^2-y^2 aligned Here, y = a 2 v = a ^2- a ^2 4 = 3 a ^2 4 = 2 T a 3 2 = a 3 ~T

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