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Question (1)

QN0035322

The wide handle of screw is based upon

(A)
Newton's second law of motion
(B)
law of conservation of linear momentum
(C)
turning moment of force
(D)
None of these

Correct Answer: C

Explanation:

Turning moment of force Force distance from the axis of rotation.

Thus a small force is required to produce a given turning moment, when distance is large: That is why handle of a screw is made wider.

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Question (2)

QN0035323

Which of the following is an expression for angular momentum?

(A)
(B)
(C)
(D)

Correct Answer: D

Explanation:

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Question (3)

QN0035324

The torque of a force about the origin is . If the force acts on a particle whose position vector is , then the value of will be :

(A)
(B)
(C)
(D)

Correct Answer: C

Explanation:

Given that torque,

Position vector,

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Question (4)

QN0035325

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

(A)
radius of orbit
(B)
tangent to the orbit
(C)
line parallel to plane of rotation
(D)
line perpendicular to plane of rotation

Correct Answer: D

Explanation:

As angular momentum, , therefore, direction of is along a line perpendicular to the plane of rotation.

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Question (5)

QN0035326

A particle moving in a circular path has an angular momentum of . If the frequency of rotation is halved, then its angular momentum becomes

(A)
(B)
(C)
(D)

Correct Answer: A

Explanation:

Angular momentum of particle is given by:

If frequency is halved then,

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Question (6)

QN0035327

The instantaneous angular position of a point on a rotating wheel is given by the equation . The torque on the wheel becomes zero at

(A)
(B)
(C)
(D)

Correct Answer: A

Explanation:

When angular acceleration is zero then torque on the wheel becomes zero.

.

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Question (7)

QN0035328

A force is acting at a point . The value of for which angular momentum about origin is conserved is

(A)
2
(B)
zero
(C)
1
(D)
-1

Correct Answer: D

Explanation:

From Newton's second law for rotational motion,

, if constant then

So,

Solving we get

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Question (8)

QN0035329

A particle of mass is on a smooth horizontal table and moves in a circular path of radius . The height of the table from the ground is . If the angular speed of the particle is , the magnitude of its angular momentum about a point on the ground right under the centre of the circle is

(A)
(B)
(C)
(D)

Correct Answer: A

Explanation:

Angular momentum,

[As , ]

So,

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Question (9)

QN0035330

If the angular momentum of a particle of mass rotating along a circular path of radius with uniform speed is , the centripetal force acting on the particle is

(A)
(B)
(C)
(D)

Correct Answer: A

Explanation:

From the relation, angular momentum,

Centripetal force acting on the particle

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Question (10)

QN0035331

A stone of mass tied to a string of length is rotating along a circular path with constant speed . The torque on the stone is

(A)
(B)
(C)
(D)
zero

Correct Answer: D

Explanation:

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Question (1)

The wide handle of screw is based upon

Explanation:

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Question (2)

Which of the following is an expression for angular momentum?

Explanation:

Link:

Question (3)

The torque of a force about the origin is . If the force acts on a particle whose position vector is , then the value of will be :

Explanation:

Link:

Question (4)

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

Explanation:

Link:

Question (5)

A particle moving in a circular path has an angular momentum of . If the frequency of rotation is halved, then its angular momentum becomes

Explanation:

Link:

Question (6)

The instantaneous angular position of a point on a rotating wheel is given by the equation . The torque on the wheel becomes zero at

Explanation:

Link:

Question (7)

A force is acting at a point . The value of for which angular momentum about origin is conserved is

Explanation:

Link:

Question (8)

A particle of mass is on a smooth horizontal table and moves in a circular path of radius . The height of the table from the ground is . If the angular speed of the particle is , the magnitude of its angular momentum about a point on the ground right under the centre of the circle is

Explanation:

Link:

Question (9)

If the angular momentum of a particle of mass rotating along a circular path of radius with uniform speed is , the centripetal force acting on the particle is

Explanation:

Link:

Question (10)

A stone of mass tied to a string of length is rotating along a circular path with constant speed . The torque on the stone is

Explanation:

Link:

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