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(A) : Position of centre of mass of a bo...

(A) : Position of centre of mass of a body (w.r.t body frame) is independent of co-ordinate system.
(R ) : Internal forces do not effect the motion of centre of mass.

A

Both (A) and (R ) are true and (R ) is the correct explanation of (A)

B

Both (A) and (R ) are true and (R ) is not the correct explanation of (A)

C

(A) is true but (R ) is false

D

Both (A) and (R ) are false

Text Solution

Verified by Experts

The correct Answer is:
B
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Centre of mass of a system is a unique point which is very helpful in solving the problems related to the motion of rigid bodies. In columns I and II, some statements regarding centre of mass are given. Match the Columns : {:(,"Column - I",,"Column - II"),((A),"In the absence of enternal forces, internal forces",(P),"Inside the material of the body."),((B),"Centre of mass of a body (can be)",(Q),"May affect the motion of centre of mass"),((C ),"C.M. of a ring",(R ),"Does not affect the motion of centre of mass"),((D),"Centre of mass of solid cylinder is",(S),"Outside the material of the body"):}

Guess the possible position of the centre of mass of the body shown here ?

Knowledge Check

  • Choose correct statement (A) The position of centre of mass of a system is dependent on the choice of coordinate system. (B) Newton's second law of motion is applicable to the centre of mass of the system (C) Internal forces can not change the state of centre of mass (D) Internal forces can change the state of centre of mass.

    A
    Both (A) and (B) are correct
    B
    Both (B) and (C) are wrong
    C
    Both (A) and (C) are wrong
    D
    Both (A) and (D) are wrong
  • Statements : (a) The motion of the centre of mass can be studied using kepler.s laws of motion. (b) The internal forces will not effect the motion of the centre of mass

    A
    Both a and b are true
    B
    Both a and b are false
    C
    a is true b is false
    D
    a is false b is true
  • Statements : (a) The motion of the centre of mass can be studied using kepler.s laws of motion. (b) The internal forces will not effect the motion of the centre of mass

    A
    both a and b are true
    B
    both a and b are false
    C
    a is true, b is false
    D
    a is false, b is true
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    Statements : (a) The motion of the centre of mass can be studied using kepler's laws of motion. (b) The internal forces will not effect the motion of th centre of mass

    (A) : The position of centre of mass of a body does not depend upon shape and size of the body. (R ) : Centre of mass of a body always lies at the centre of the body.

    (A) : When a person walks on a stationary boat in still water, centre of mass of person and boat system is not displaced. (R ) : Internal forces connot alter the position of c.m.

    (A) : A shell moving in a parabolic path explodes in mid air. The centre of mass of the fragments will follow the same parabolic path. (R ) : Explosion is due to internal forces, which cannot alter the state of motion of centre of mass.

    (a) Algebraic sum of moments of masses about centre of mass is zero (b) For small bodies centre of mass coincides with centre of gravity (c) Position of centre of mass depends on co-ordinate system (d) Position of centre of mass is independent of mass distribution