Question

76. A 5 kg body is rotated in a vertical circle with
a constant speed of 4 ms using a string of
length 1 m, when the tension in the string is
31N, then the body will be​

Answer 1

Explanation:

Mass of the body = m = 5kg (Given)

Speed of the body = v = 4m/s (Given)

Length of the string = r = 1m (Given)

Tension in the string = 31N (Given)

Let the angle made with vertical axis = Ф

Centripetal force = Fc = mv²/r

= 5 × 4²/1

= 80N

W = mgcosФ = 5 × 9.8cosФ

= 49cosФ

Tension = T = F + W

31 = 80 + 49cosФ

cosФ = 31 - 80/49

Ф = cos(-1) = 180°

Thus, the body will be at highest point at 180°.

Answer 2

Answer:

Centripetal force = Fc = mv²/r

= 5 × 4²/1

= 80N

W = mgcosФ = 5 × 9.8cosФ

= 49cosФ

Tension = T = F + W

31 = 80 + 49cosФ

cosФ = 31 - 80/49

Ф = cos(-1) = 180°

Thus, the body will be at highest point at 180°.

Explanation:

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