GATE ME 2016 Set 1 — Question 16
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Engineering Mechanics → Statics → Free-Body Diagrams & Equilibrium
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Question
A rigid ball of weight 100 N is suspended with the help of a string. The ball is pulled by a horizontal force such that the string makes an angle of with the vertical. The magnitude of force (in N) is __________

Correct answer
55 to 60
Solution
From the equilibrium of the ball:
Vertical direction:
Horizontal direction:
Dividing the two equations:
.
Vertical direction:
Horizontal direction:
Dividing the two equations:
.
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