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MHT CET202522 Apr 2025Morning ShiftPhysicsMotion in Two DimensionsActual

A vehicle is moving with a constant speed of 10 ~m / s in a circular horizontal track of radius 20 m . A bob is suspended from the roof of a vehicle by a massless string. The angle made by the string with the vertical will be (acceleration due to gravity, g=10 ~m / s ^2 )

Options

  1. A⁻¹(0 5)
  2. B⁻¹(0 6)
  3. C⁻¹(0 7)
  4. D⁻¹(0 8)

Correct answer

A. ⁻¹(0 5)

Step-by-step solution

A vehicle moving at constant speed in a circular horizontal track establishes a centripetal acceleration, causing the suspended bob to make an angle with the vertical. The bob's mass is m and the tension in the string is T . For vertical equilibrium, the vertical component of tension balances the gravitational force: T = mg . The horizontal component provides the centripetal force for circular motion: T = mv^2 r . Dividing the horizontal equation by the vertical equation eliminates T and m : T T = mv^2/r mg , which

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