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 mass of a body is the point at which the total gravitational torque on the body is zero.
$(c)$ $A$ couple on a body produces both translational and rotational motion in a body.
$(d)$ Mechanical advantage greater than $1$ means that small effort can be used to lift a large load.

  • A
    $(a)$ and $(b)$
  • B
    $(b)$ and $(c)$
  • C
    $(c)$ and $(d)$
  • D
    $(b)$ and $(d)$

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