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Question (31)
QN0035369

A solid cylinder of mass  and radius  is free to rotate about the horizontal axis. A massless string is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string required to produce an angular acceleration of 2 revolutions  is

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: D
Explanation:

Here  revolutions  (given)

As  so

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Question (32)
QN0035370

A wheel rotates with a constant acceleration of . If the wheel starts from rest, the number of revolutions it makes in the first ten seconds will be approximately

  • (A)

    8

  • (B)

    16

  • (C)

    24

  • (D)

    32

Correct Answer: B
Explanation:

 

Number of revolutions  (approx.)

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Question (33)
QN0035371

A fly wheel is accelerated uniformly from rest and rotates through  in the first second. The angle rotated by the fly wheel in the next second, will be : 

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: B
Explanation:

We have

Here,  and

Now,

.

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Question (34)
QN0035372

Around a hollow cylinder of mass  and radius  a rope is wounded. If a rope is pulled with a force of , the angular acceleration of the cylinder is

  • (A)

  • (B)

  • (C)

        

  • (D)

Correct Answer: C
Explanation:

revolutions

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Question (35)
QN0035373

A wheel is rotating at  about its own axis. When the power is switched off, it comes to rest in 2 minutes. Then the angular retardation in  is

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: C
Explanation:

Given, no. of rotation

Time,  minutes

Final angular speed (as wheel comes to rest)

Angular retardation

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Question (36)
QN0035374

A body rotating with uniform acceleration about its geometrical axis makes 8 rotations in the first 2 seconds. The number of rotations the body makes in the next 3 seconds is             

(Initially the body is at rest)

  • (A)

    50

  • (B)

    25

  • (C)

    42

  • (D)

    21

Correct Answer: A
Explanation:

By equation of motion

Here, angular velocity,

Divide equation (ii) by (i)

rotations

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