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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 mass 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 translational and rotational motion in a body
(D) Mechanical advantage greater than one means that small effort can be used to lift a large load
- (A) and (B)
- (B) and (C)
- (C) and (D)
- (B) and (D)
Correct answer: (B) and (D)
Solution
Statement (B) is correct because the center of mass is the point where the total gravitational torque is zero. Statement (D) is also correct because a mechanical advantage greater than one implies that a smaller effort can lift a larger load. Statements (A) and (C) are incorrect as the center of mass does not always coincide with the center of gravity, and a couple only produces rotational motion, not translational motion.
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