| A rigid massless road of length 31 has two masses attached at each end as shown in the figure. The rod is pivoted at point P on the horizontal axis (see figure). When released from initial horizontal position, its instantaneous angular acceleration will be: |
 |
A) \[\frac{g}{13l}\]
B) \[\frac{g}{3l}\]
C) \[\frac{g}{2l}\]
D) \[\frac{7g}{3l}\]
Correct Answer: A
Solution :
| \[\alpha =\frac{\tau }{I}\] |
| \[=\frac{5{{M}_{o}}g\ell -4{{M}_{o}}g\ell }{5{{M}_{o}}{{\ell }^{2}}+2{{M}_{o}}4{{\ell }^{2}}}\] |
| \[=\frac{{{M}_{o}}g\ell }{13{{M}_{o}}{{\ell }^{2}}}=\frac{g}{13\ell }\] |
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