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In the diagram, a mass of 12kg hanging from a light inextensible string is pulled…

In the diagram, a mass of 12kg hanging from a light inextensible string is pulled aside by a horizontal force, R, such that the string is inclined at 45(^o) to the vertical. If the system is in equilibrium, calculate the;

(a) tension in the string;

(b) value of R 

Explanation

Using Lami’s Theorem;

(a) (frac{T}{sin 90^o} = frac{120}{sin 135^o}) and T = 169.71N

(b) (frac{R}{sin 135^o} = frac{120}{sin 135^o}) and R = 120N