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1.
A particle of mass m is tied to a light string and rotated with a speed v along a circular path of radius r. If T = tension in the string and mg = gravitational force on the particle then the actual forces acting on the particle are
  • A.
    mg and T only
  • B.
    mg, T and an additional force of mv2/r directed inwards
  • C.
    mg, T and an additional force of mv2/r directed outwards
  • D.
    only a force mv2/r directed outwards
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Answer : [A]
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2.
A simple pendulum has a string of length l and bob of mass m. When the bob is at its lowest position, it is given the minimum horizontal speed necessary for it to move in a circular path about the point of suspension. The tension in the string at the lowest position of the bob is
  • A.
    3mg
  • B.
    4mg
  • C.
    5mg
  • D.
    6mg
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Answer : [B]
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3.
In the previous question, when the string is horizontal, the net force on the bob is
  • A.
    mg
  • B.
    3mg
  • C.
    √10mg
  • D.
    4mg
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Answer : [D]
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4.
In a simple pendulum, the breaking strength of the string is double the weight of the bob. The bob is released from rest when the string is horizontal. The string breaks when it makes an angle θ with the vertical.
  • A.
    θ = cos-1(1/3)
  • B.
    θ = 60o
  • C.
    θ = cos-1(2/3)
  • D.
    θ = 0
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Answer : [C]
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5.
A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/s. A plumb bob is suspended from the roof of the car by a light rigid rod of length 1 m. The angle made by the rod with the vertical is
  • A.
    zero
  • B.
    30o
  • C.
    45o
  • D.
    60o
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Answer : [C]
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