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Which of following statements are correc...

Which of following statements are correct ? ltbgt (a) Centre of mass of a body always coincides with the centre of gravity of the body
(b) Central of mass of a body is the point at which the total garvitational torque on the body is zero
(c ) Couple on a body produces both trasnlational and rotation motion in a body
(d) Mechinical advantage greater than one means that small efforts can be used to lift a large load

A

(b) and (d)

B

(a) and (b)

C

(b) and ( c )

D

( c ) and (d)

Text Solution

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The correct Answer is:
A
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Which of the following statements are correct ? (a) Centre of mass of a body always coincides with the centre of gravity of the body (b) Centre of gravity of a body is the point at which the total gravitational torque on the body is zero (c) A couple on a body produce both translation and rotational motion in a body. (d) Mechanical advantage greater than one means that small effort can be used to lift a large load

Which of the following statements are correct ? (1) Centre of mass of a body always coincides with the centre of gravity of the body (2) Centre of mass of a body is the point at which the total gravitational torque on the body is zero (3) A couple on a body produces both translational and rotational motion in a body (4) Mechanical advantage greater than one means that small effort can be used to lift a large load.

Knowledge Check

  • The centre of mass of a body

    A
    depends on the choice of co - ordinate system
    B
    is independent of the choice of co - ordinate system .
    C
    may or may not depend on the choice of co - ordinate system
    D
    None of the above
  • The centre of mass of a body

    A
    Lies always at the geometrical centre
    B
    Lies always inside the body
    C
    Lies always outside the body
    D
    May lie within or outside the body.
  • 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.
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    Can centre of mass of a body coincide with the geometrical centre of the body ?

    Can centre of mass of a body coincide with geometrical centre of the body ?

    For any given body, the centre of the mass of a body always coincides with its centre of gravity.

    The centre of mass of a body

    The centre of mass of a body lies