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6.

A body moves along an uneven horizontal road surface with constant speed at all points. The normal reaction of the road on the body is
  • A.
    maximum at A
  • B.
    maximum at B
  • C.
    minimum at C
  • D.
    the same at A, B and C
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Answer : [A]
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7.
In gravity-free space, a particle is in contact with the inner surface of a hollow vertical cylinder and moves in a horizontal circular path along the surface. There is some friction between the particle and the surface. The retardation of the particle is
  • A.
    zero
  • B.
    independent of its velocity
  • C.
    proportional to its velocity
  • D.
    proportional to the square of its velocity
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Answer : [D]
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8.
For a car taking a turn on a horizontal surface, let N1 and N2 be the normal reactions of the road on the inner and outer wheels respectively.
  • A.
    N1 is always greater than N2
  • B.
    N2 is always greater than N1
  • C.
    N1 is always equal to N2.
  • D.
    Either (a) or (b) depending on the speed of the car and the radius of curvature of the road.
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Answer : [B]
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9.
curved section of a road is banked for a speed v. If there is no friction between the road and the tyres then
  • A.
    a car moving with speed v will not slip on the road
  • B.
    a car is more likely to slip on the road at speeds higher than v, than at speeds lower thanv
  • C.
    a car is more likely to slip on the road at speeds lower than v, than at speeds higher than v
  • D.
    a car can remain stationary on the road without slipping
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Answer : [A]
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10.
A cyclist moves along a curved road with a velocity v. The road is banked for speed v. The angle of banking is θ. Which of the following statements is not true?
  • A.
    The cyclist will lean away from the vertical at an angle θ.
  • B.
    The normal reaction of the road will pass through the centre of gravity of the ‘cycle plus cyclist’ system.
  • C.
    There will be no force of friction between the tyres and the road.
  • D.
    The cyclist is in equilibrium with respect to the ground
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Answer : [D]
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