A particle moves in a circle of radius 5 cm with constant speed

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 Multiple Choice QuestionsMultiple Choice Questions

91.

A circular platform is mounted on the frictionless vertical axle. Its radius R =2 m and its moment of inertia about the axle is 200 kg m2. It is initially at rest. A 50 kg man stands on the edge of the platform and begins to walk along the edge at the speed of 1 ms-1 relative to the ground. Time taken by the man to complete one revolution is

  • π sec

  • 3π/2 sec

  • 2π sec

  • 2π sec

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92.

The moment of inertia of a uniform circular disc is maximum about an axis perpendicular to the disc and passing through

  • B

  • C

  • D

  • D

931 Views

93.

When a string is divided into three segments of length l1, l2, and l3 the fundamental frequencies of these three segments are v1, v2, and v3 respectively. The original fundamental frequency (v) of the string is

  • square root of straight v space equals space square root of v subscript 1 end root plus square root of v subscript 2 end root plus square root of v subscript 3 end root
  • v = v1 +v2 +v3

  • 1 over straight v space equals space 1 over v subscript 1 space plus 1 over v subscript 2 plus 1 over v subscript 3
  • 1 over straight v space equals space 1 over v subscript 1 space plus 1 over v subscript 2 plus 1 over v subscript 3
2075 Views

94.

When a mass is rotating in a plane about a fixed point, its angular momentum is directed along

  • a line perpendicular to the plane of rotation

  • the line making an angle of 45o to the plane of rotation

  • the radius

  • the radius

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95.

Two persons of masses 55 kg and 65 kg respectively. are at the opposite ends of the boat. The length of the boat is 3.0 m and weigh 100 kg. The 55 kg man walks to the 65 kg man and sits with him. If the boat is in still water the centre of mass of the system shifts by

  • 3.0 m

  • 2.3 m

  • zero

  • zero

2070 Views

96.

ABC is an equilateral triangle with O as its centre F1, F2 and F3 represent three forces acting on the sides AB, BC and AC respectively. If the total torque about O zero then the magnitude of F3 is

  • F1 +F2

  • F1 - F2

  • F1 +F2/2

  • F1 +F2/2

2574 Views

97.

A rod PQ of mass M and length L is hinged at end P. The rod is kept horizontal by a massless string tied to point Q as shown in the figure. When a string is cut, the initial angular acceleration of the rod is,

  • 3g / 2L

  • g/L

  • 2g/L

  • 2g/L

3795 Views

98.

A small object of uniform density rolls up a curved surface with an initial velocity v'. It reaches up to a maximum height of fraction numerator 3 straight v squared over denominator 4 straight g end fraction with respect to the initial position. The object is,

  • ring

  • solid sphere

  • hollow sphere

  • hollow sphere

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99.

A particle moves in a circle of radius 5 cm with constant speed and time period 0.2 πs. The acceleration of the particle is 

  • 25 m/s2

  • 36 m/s2

  • 5 m/s2

  • 5 m/s2


C.

5 m/s2

D.

5 m/s2

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100.

The instantaneous angular position of a point on a rotation wheel is given by the equation 

Q(t)  = 2t3 - 6t2

The torque on the wheel becomes zero at

  • t = 0.5 s 

  • t = 0.25 s

  • t = 2s

  • t = 2s

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