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PhysicsNEET 2024Circular motion dynamics, banking of roads

Laws of Motion

A bob is whirled in a horizontal plane by means of a string with an initial speed of ω\omega rpm. The tension in the string is TT. If the speed becomes 2ω2\omega while keeping the same radius, the tension in the string becomes:

  1. A.4T4T✓
  2. B.T4\dfrac{T}{4}
  3. C.2T2T
  4. D.TT

Solution

Tension supplies the centripetal force, T=mω2rT = m\omega^2 r. Doubling the angular speed at the same radius quadruples it: 4T4T.

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