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BITSAT2017PhysicsOscillationsActual

A body of mass 1 kg is executing simple harmonic motion. Its displacement y cm at t seconds is given by y = 6 sin 100 t + π 4 . Its maximum kinetic energy is

Options

  1. A6   J
  2. B18   J
  3. C24   J
  4. D36   J

Correct answer

B. 18   J

Step-by-step solution

Given, a = 6   cm = 6 × 10 - 2   m ω = 100   rad   s - 1 , m = 1   kg K max = 1 2 m ω 2 a 2 = 1 2 × 1 × 100 2 × 6 × 10 - 2 2 = 18   J

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