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Question

A rigid body in the shape of a \mathrm{ ' V ' } has two equal arms made of uniform rods. What must be the angle between the rods so that when the body is suspended from one end, the other arm is horizontal?
 

 Your Option is correct !!

A.

\mathrm{\theta=\cos ^{-1}\left(\frac{2}{3}\right)}
 

B.

\mathrm{\theta=\cos ^{-1}\left(\frac{3}{2}\right)}
 

C.

\mathrm{\theta=\cos ^{-1}\left(\frac{1}{3}\right)}
 

D.

\mathrm{\theta=0^{\circ}}

 

Answers (1)

best_answer

x_{C M}=\frac{L}{4} \sin \theta, \quad y C M=-\frac{L}{4}(1+\cos \theta)

\tan \phi=\frac{x_{C M}}{-y_{C M}}=\frac{\frac{L}{4} \sin \theta}{\frac{L}{4}(1+\cos \theta)}=\frac{\sin \theta}{1+\cos \theta}

\cos \theta=\frac{2}{3} \Rightarrow \theta=\cos ^{-1}\left(\frac{2}{3}\right)

Hence, the correct answer is option c

Posted by

Divya Sharma

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