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NEET PHYSICSMedium

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 about 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 one 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)

Step-by-Step Solution

Statement (a) is incorrect because the centre of mass coincides with the centre of gravity only in a uniform gravitational field. If the gravitational field varies across the body, they may not coincide . Statement (b) is correct. The centre of gravity is defined as the point about which the total gravitational torque on the body is zero . Statement (c) is incorrect. A couple consists of two equal and opposite forces whose lines of action do not coincide. The net force is zero, so it produces pure rotational motion without any translational motion . Statement (d) is correct. Mechanical Advantage (M.A.) is defined as the ratio of load to effort (M.A. = Load / Effort). If M.A. > 1, then Effort < Load, meaning a small effort can lift a large load . Thus, statements (b) and (d) are correct.

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