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  • A rod of uniform mass density is hinged at one end, and its other end is kept on a cubical block of side 10 cm. If the block starts moving with a speed of 1 m/s towards the left when the rod m

A rod of uniform mass density is hinged at one end, and its other end is kept on a cubical block of side 10 cm. If the block starts moving with a speed of 1 m/s towards the left when the rod makes an angle of 45° with the horizontal.

The angular velocity of the rod will be:

 

Option: 1

10 rad/s


Option: 2

20 rad/s


Option: 3

5 rad/s


Option: 4

15 rad/s


Answers (1)

best_answer

\tan \theta = \frac{a}{x}

x = a \cot \theta

\frac{dx}{dt} = -a cosec ^2 \theta (\frac{d\theta}{dt})

v_{0} = -a cosec ^2 \theta (\frac{d\theta}{dt})

\frac{d\theta}{dt} = - \frac{v_{0}}{a cosec^2 \theta}

\omega = \frac{v_{0}}{2} \sin^{2} \theta

\omega = \frac{1}{0.1} \sin^{2} 45

\omega = 10 * \frac{1}{2} = 5 rad/s

Posted by

vishal kumar

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