A physical pendulum consists of two sticks each 1 m long and having same mass. Sticks are joined together as shown in figure. What is the pendulum’s period of oscillation about a pin inserted through point A?

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A physical pendulum consists of two sticks each 1 m long and having same mass. Sticks are joined together as shown in figure. What is the pendulum’s period of oscillation about a pin inserted through point A?

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$\sqrt{2} π s$

$\frac{π}{4 \sqrt{2}} s$

$\frac{π}{\sqrt{2}} s$

$\frac{π}{\sqrt{3}} s$

answer is D.

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Detailed Solution

$T = 2 π \sqrt{\frac{I}{mgx}}$

$= 2 π \sqrt{\frac{\frac{m \times 1^{2}}{12} + \frac{m \times 1^{2}}{3}}{g [m \times \frac{1}{2} + m \times 0]}}$

$= 2 π \sqrt{\frac{\frac{5 m}{12}}{5 m}} = \frac{π}{\sqrt{3}} s$

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