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KVPY2013PhysicsOscillations

A ball is rolling without slipping in a spherical shallow bowl (radius R ) as shown in the figure and is executing simple harmonic motion. If the radius of the ball is doubled, the period of oscillation

Options

  1. Aincreases slightly
  2. Bis reduced by a factor of 1 / 2
  3. Cis increased by a factor of 2
  4. Ddecreases slightly

Correct answer

D. decreases slightly

Step-by-step solution

m g -F_ r =m aF_ r = 2 5 m r² a r² a= 5 7 g R-r = 5 g 7(R-r) T=2 7(R-r) 5 r

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