EWT | Academic Question

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Question (1)
QN0035295

The centre of mass of a body 

  • (A)

    lies always outside the body

  • (B)

    may lie within, outside on the surface of the body

  • (C)

    lies always inside the body

  • (D)

    lies always on the surface of the body

Correct Answer: B
Explanation:

Centre of mass depends on the distribution of mass in the body.

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Question (2)
QN0035296

Two bodies of mass  and  have position vectors  and  respectively. The magnitude of position vector of centre of mass of this system will be similar to the magnitude of vector: 

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: A
Explanation:

 Position of COM of a mass - system is given as,

Only option (a) magnitude is

So option (a) is correct.

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Question (3)
QN0035300

The centre of mass of two particles lies on the line

  • (A)

    joining the particles

  • (B)

    perpendicular to the line joining the particles

  • (C)

    at any angle to this line

  • (D)

    None of these

Correct Answer: A
Explanation:

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Question (4)
QN0035301
  1. Three identical spheres, each of mass 1  are kept as shown in figure, touching each other, with their centres on a straight line. If their centres are marked respectively, the distance of centre of mass of the system from  is                                                                                        

A diagram of a graph

Description automatically generated

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: B
Explanation:

and 

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Question (5)
QN0035302
  1. The coordinates of centre of mass of a uniform flag shaped lamina (thin flat plale) of mass . (The coordinates of the same are shown in figure) are:                                              

A black rectangular object with black text

Description automatically generated with medium confidence

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: B
Explanation:

For given Lamina

Coordinate of centre of mass of flag shaped lamina

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Question (6)
QN0035303
  1. Two spheres  and  of masses  and  and radii  and  respectively are placed in contact as shown. The COM of the system lies                                                                                             

A diagram of a circle with a line and a line

Description automatically generated with medium confidence

  • (A)

    inside

  • (B)

    inside

  • (C)

    at the point of contact

  • (D)

    None of these

Correct Answer: C
Explanation:

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Question (7)
QN0035304

Centre of mass of the earth and the moon system lies         

  • (A)

    closer to the earth

  • (B)

    closer to the moon

  • (C)

    at the mid-point of line joining the earth and the moon

  • (D)

    cannot be predicted

Correct Answer: A
Explanation:

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Question (8)
QN0035307

Consider a system of two particles having masses  and . If the particle of mass  is pushed towards the centre of mass particles through a distance , by what distance would the particle of mass  move so as to keep the mass centre of particles at the original position?       

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: C
Explanation:

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Question (9)
QN0035308

Three masses are placed on the -axis :  at origin, 500  at  and  at . The distance of the centre of mass from the origin is 

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: A
Explanation:

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Question (10)
QN0035309

A system consists of three particles, each of mass  and located at  and . The co-ordinates of the centre of mass are       

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: B
Explanation:

The coordinates of C.M of three particle are

here

so  so coordinates of C.M. of three particle are

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