Compound Pendulum/Torsional Pendulum
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PHXI14:OSCILLATIONS

364060 A system of two identical rods (L-shaped) of mass \(m\) and length \(l\) are resting on a peg \(P\) as shown in the figure. If the system is displaced in its plane by a small angle \(\theta\), find the period of oscillations.
supporting img

1 \(2 \pi \sqrt{\dfrac{2 \sqrt{2} l}{3 g}}\)
2 \(2 \pi \sqrt{\dfrac{\sqrt{2} l}{3 g}}\)
3 \(3 \pi \sqrt{\dfrac{l}{3 g}}\)
4 \(2 \pi \sqrt{\dfrac{4 \sqrt{2} l}{3 g}}\)
PHXI14:OSCILLATIONS

364061 A meter stick swinging in vertical plane about a fixed horizontal axis passing through its one end undergoes small oscillation of frequency \({f_{0}}\). If the bottom half of the stick were cut off, if its new frequency of small oscillation is found to be \({\sqrt{x} f_{0}}\). The value of \({x}\) is
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1 5
2 2
3 1
4 7
PHXI14:OSCILLATIONS

364062 A physical pendulum consists of two stick 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 \(A\) ?
supporting img

1 \(\sqrt 2 \pi \,\sec \)
2 \(\frac{\pi }{{\sqrt 2 }}\,\sec \)
3 \(\frac{\pi }{{\sqrt 3 }}\,\sec \)
4 \(\frac{\pi }{{4\sqrt 2 }}\,\sec \)
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PHXI14:OSCILLATIONS

364060 A system of two identical rods (L-shaped) of mass \(m\) and length \(l\) are resting on a peg \(P\) as shown in the figure. If the system is displaced in its plane by a small angle \(\theta\), find the period of oscillations.
supporting img

1 \(2 \pi \sqrt{\dfrac{2 \sqrt{2} l}{3 g}}\)
2 \(2 \pi \sqrt{\dfrac{\sqrt{2} l}{3 g}}\)
3 \(3 \pi \sqrt{\dfrac{l}{3 g}}\)
4 \(2 \pi \sqrt{\dfrac{4 \sqrt{2} l}{3 g}}\)
PHXI14:OSCILLATIONS

364061 A meter stick swinging in vertical plane about a fixed horizontal axis passing through its one end undergoes small oscillation of frequency \({f_{0}}\). If the bottom half of the stick were cut off, if its new frequency of small oscillation is found to be \({\sqrt{x} f_{0}}\). The value of \({x}\) is
supporting img

1 5
2 2
3 1
4 7
PHXI14:OSCILLATIONS

364062 A physical pendulum consists of two stick 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 \(A\) ?
supporting img

1 \(\sqrt 2 \pi \,\sec \)
2 \(\frac{\pi }{{\sqrt 2 }}\,\sec \)
3 \(\frac{\pi }{{\sqrt 3 }}\,\sec \)
4 \(\frac{\pi }{{4\sqrt 2 }}\,\sec \)
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PHXI14:OSCILLATIONS

364060 A system of two identical rods (L-shaped) of mass \(m\) and length \(l\) are resting on a peg \(P\) as shown in the figure. If the system is displaced in its plane by a small angle \(\theta\), find the period of oscillations.
supporting img

1 \(2 \pi \sqrt{\dfrac{2 \sqrt{2} l}{3 g}}\)
2 \(2 \pi \sqrt{\dfrac{\sqrt{2} l}{3 g}}\)
3 \(3 \pi \sqrt{\dfrac{l}{3 g}}\)
4 \(2 \pi \sqrt{\dfrac{4 \sqrt{2} l}{3 g}}\)
PHXI14:OSCILLATIONS

364061 A meter stick swinging in vertical plane about a fixed horizontal axis passing through its one end undergoes small oscillation of frequency \({f_{0}}\). If the bottom half of the stick were cut off, if its new frequency of small oscillation is found to be \({\sqrt{x} f_{0}}\). The value of \({x}\) is
supporting img

1 5
2 2
3 1
4 7
PHXI14:OSCILLATIONS

364062 A physical pendulum consists of two stick 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 \(A\) ?
supporting img

1 \(\sqrt 2 \pi \,\sec \)
2 \(\frac{\pi }{{\sqrt 2 }}\,\sec \)
3 \(\frac{\pi }{{\sqrt 3 }}\,\sec \)
4 \(\frac{\pi }{{4\sqrt 2 }}\,\sec \)
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