First slide

Vertical circular motion

Question

A stone tied to a rope is rotated in a vertical circle with uniform speed. If the difference between the maximum and minimum tensions in the rope is 20 N, mass of the stone (in kg) is (Take, 9 = 10 $m s^{- 2}$ ) [EAMCET 2013]

Easy

A

0.75
B

1.0
C

1.5
D

0.5

Solution

We know that, the difference between the maximum and minimum tensions in the rope,
$T_{\max} - T_{\min} = 2 m g$
Here, $T_{\max} - T_{\min} = 20$
Now, mass of the stone, $m = \frac{20}{2 g} = \frac{20}{2 \times 10} = 1 kg$

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