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Q.

A rigid massless rod of length $3 l$ 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:

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a

$\frac{g}{13 l}$

b

$\frac{g}{2 l}$

c

$\frac{g}{3 l}$

d

$\frac{7 g}{3 l}$

answer is A.

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Detailed Solution

$τ = Iα = [2 M_{0} {(2 l)}^{2} + 5 M_{o} l^{2}] α$

$\Rightarrow 5 M_{0} gl - 4 M_{0} gl = [2 M_{0} (2 l)^{2} + 5 M_{0} l^{2}] α$

$\Rightarrow M_{\circ} gl = (13 M_{o} g l^{2}) α$

$∴ a = \frac{g}{13 l}$

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A rigid massless rod of length 3l 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: