The moment of inertia of a thin rod of mass M and length L, about

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 Multiple Choice QuestionsMultiple Choice Questions

61.

A symmetrical body is rotating about its axis of symmetry, its moment of inertia about the axis of rotation being 1 kgm2 and its rate of rotation 2 rev/s. The angular momentum is

  • 1.257 kg m2/s

  • 12.57 kg m2/s

  • 13.57 kg m2/s

  • 20 kg m2/s


62.

A particle of mass m = 5 units is moving with a uniform speed v = 32 m in the XOY plane along the line Y = X + 4. The magnitude of the angular momentum about origin is

  • zero

  • 60 unit

  • 7.5 unit

  • 402 unit


63.

If the length of the second's hand in a stop-clock is 3 cm, the angular velocity and linear velocity of the tip is

  • 0.2047 rad/s, 0.0314 ms-1

  • 0.2547 rad/s, 0.314 ms-1

  • 0.1472 rad/s, 0.06314 ms-1

  • 0.1047 rad/s, 0.00314 ms-1


64.

Three identical spheres, each of mass 1 kg are kept as shown in figure below, touching each other, with their centres on a straight line. If their centres are marked P,Q, R respectively, the distance of centre of mass of the system from P is

                      

  • PQ+ PR+ QR3

  • PQ+ PR3

  • PQ+ QR3

  • PR+ QR3


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65.

The moment of inertia of a thin rod of mass M and length L, about an axis perpendicular to the rod at a distance L4 from one end is

  • ML26

  • ML212

  • 7ML248

  • 7ML212


C.

7ML248

ICD = Icm + M L42 = ML212 + ML216

            

           = 7 ML248


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66.

Moment of a couple is called

  • impulse

  • couple

  • torque

  • angular momentum


67.

An athlete throws a discus from rest to a final angular velocity of 15 rad/s in 0.270 s before releasing it. During acceleration, discus moves a circular arc of radius 0.810 m. Acceleration of discus before it is released is

  • 45 ms-2

  • 182 ms-2

  • 187 ms-2

  • 192 ms-2


68.

A motor is rotating at a constant angular velocity of 600 rpm. The angular displacement per second is

  • 350 π rad

  • 3π50 rad

  • 50 π3 rad

  • 3π25 rad


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69.

Total angular momentum of a rotating body remains constant, if the net torque acting on the body is

  • zero

  • maximum

  • minimum

  • unity


70.

When a ceiling fan is switched on it makes 10 rotations in the first 3s. The number of rotations it makes in the next 3 s, assuming uniform angular acceleration is

  • 40

  • 30

  • 20

  • 10


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