Question

A pendulum having bob of mass m is attached at the roof of a large box which is sliding freely over smooth inclined plane as shown . If tension in the string when Bob is in equilibrium with respect to box is t then value of t/m is

Answer 1

The value of t/m is 6 m/s.

Explanation:

Given data:

Mass of bob = m

Tension in the string = t/m

Here when the Bob will come in equilibrium.

T = mg . cosθ

t/m = mg cos(θ)/m

= g cos(θ)

= 10 x 3/5 [ cos 37° = 3/5]

= 6 m/s

Hence the value of t/m is 6 m/s.

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