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

FURTHER MATHEMATICS
WAEC 2019

a

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



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