Question

A sphere of 100N weight is tied to a wall by a string as shown
in Fig.Q2.1. Find the tension in the string and the reaction of
the wall.

Answer 1

the answer is as follows

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Explanation:

To find the tension in the string, moment about the contact point of the sphere and the plane should be zero.

Moment due to sphere about the contact point of the sphere and the plane

M  sp=Wsin30 DEGREE(r) ; r is the radius

Moment due to tension about the contact point of the sphere and the plane

M ab = T(r + r cos30 degree/2)

Since, M sp = M a​

T = 100/2 + √(3)

T = 26.81 N

Therefore, tension in the string is 26.81 N.