A point mass ' m ' is moved in a vertical circle of radius ' r ' with the help of a string. The velocity of the mass is √(7gr) at the lowest point. The tension in the string at the lowest point is (a) 1 mg (b) 6 mg (c) 7 mg (d) 8 mg

Answer: (d). At the lowest point: T - mg = mv²/r T = mg + (m(7gr))/(r) = mg + 7mg T = 8mg, so the answer is (d).

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Circular Motion (Related PYQs)

A point mass ' $m$ ' is moved in a vertical circle of radius ' $r$ ' with the help of a string. The velocity of the mass is $\sqrt{7gr}$ at the lowest point. The tension in the string at the lowest point is

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Answer: (d)

At the lowest point: $T - mg = \frac{mv^2}{r}$
$T = mg + \frac{m(7gr)}{r} = mg + 7mg$
$T = 8mg$ , so the answer is (d).

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