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Question (11)
QN0035293

The motion of a rigid body which is not pivoted or fixed in some way is either a pure ...A... or a combination of translation and rotation. The motion of a rigid body which is pivoted or fixed in some way is ... . Here, and  refer to 

  • (A)

    rotation and translation

  • (B)

    translation and rotation

  • (C)

    translation and the combination of rotation and translation

  • (D)

    None of the above

Correct Answer: B
Explanation:

The motion of a rigid body which is not pivoted or fixed in some way is either a pure translation or a combination of translation and rotation. The motion of a rigid body which is pivoted or fixed in some way is rotation.

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Question (12)
QN0035294

In rotation of a rigid body about a fixed axis, every ...A...of the body moves in a ...B..., which lies in a plane ...C... to the axis and has its centre on the axis. Here,  and  refer to

  • (A)

    particle, perpendicular and circle

  • (B)

    circle, particle and perpendicular

  • (C)

    particle, circle and perpendicular

  • (D)

    particle perpendicular and perpendicular

Correct Answer: C
Explanation:

In rotation of a rigid body about a fixed axis, every particle of the body moves in a circle, which lies in a plane perpendicular to the axis and has its centre on the axis.

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Question (13)
QN0035297

The position of centre of mass of a system of particles does not depend upon the     

  • (A)
    1. mass of particles
  • (B)

    symmetry of the body

  • (C)

    position of the particles

  • (D)

    relative distance between the particles

Correct Answer: D
Explanation:

The position of centre of mass of a system depends upon mass, position and symmetry of the body.

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Question (14)
QN0035298

The mass per unit length of a non - uniform rod of length  varies as  where  is constant. The centre of mass of the rod will be at ;

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: A
Explanation:

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Question (15)
QN0035299

The motion of the centre of mass depends on

  • (A)

    total external forces

  • (B)

    total internal forces

  • (C)

    sum of (a) and (b)

  • (D)

    None of these

Correct Answer: A
Explanation:

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Question (16)
QN0035305

A stick is thrown in the air and lands on the ground at some distance from the thrower. The centre of mass of the stick will move along a parabolic path

  • (A)

    in all cases

  • (B)

    only if the stick is uniform

  • (C)

    only if the stick has linear motion but no rotational motion

  • (D)

    only if the stick has a shape such that its centre of mass is located at some point on it and not outside it

Correct Answer: A
Explanation:

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Question (17)
QN0035306
  1. The motion of binary stars,  and  is the combination of ........ and ....Y.... . Here,  and  refer to

  • (A)

    motion of the  and motion about the 

  • (B)

    motion about the CM and motion of one star

  • (C)

    position of the  and motion of the 

  • (D)

    motion about  and position of one star

Correct Answer: A
Explanation:

When no external force acts on the binary star, its CM will move like a free particle [Fig. (a)]. From the CM frame, the two stars will seems to move in a circle about the CM with diametrically opposite positions.

(i)

(ii) (i) Trajectories of two stars.  (dotted line) and  (solid line) forming a binary system with their centre of mass  in uniform motion

(ii) The same binary system, with the centre of mass  at rest. So, to understand the motion of a complicated system, we can separate the motion of the system into two parts. So, the combination of the motion of the CM and motion about the  could described the motion of the system

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