question_answer

            A uniform sphere of weight W and radius 5 cm is being held by a string as shown in the figure. The tension in the string will be:

A) \[12\frac{W}{5}\] 

B) \[5\frac{W}{12}\]

C) \[13\frac{W}{5}\]

D) \[13\frac{W}{12}\]

Correct Answer: D

Solution :

[d] \[PQ=\sqrt{O{{P}^{2}}+O{{Q}^{2}}}\] \[=\sqrt{{{13}^{2}}+{{5}^{2}}}=12\] Tension at the mid-point \[T=w\cos \theta =\frac{13}{12}w\]