Kinematics Question 449

Question: A metal sphere it’s hung by a string fixed to a wall. The sphere it’s pushed away from the wall by a stick. The forces acting on the sphere are shown in the second diagram. Which of the following statements it’s wrong?

Options:

A) P=Wtanθ

B) T+P+W=0

C) T2=P2+W2

D) T=P+W

Show Answer

Answer:

Correct Answer: C

Solution:

[c] As the metal sphere it’s in equilibrium under the effect of the three forces therefore

T+P+W=0

Tcosθ=W …(i)

Tsinθ=P …(ii)

From equation (i) and (ii) we get

P=Wtanθ and T2=P2+W2



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