Some Systems Executing Simple Harmonic Motion
PHXI14:OSCILLATIONS

364381 A mass is suspended from a spring vibrating spring constant \(k\) is displaced vertically and released, it oscillates with period \(T\). The weight of the mass suspended is ( \(g = \) gravitational acceleration)

1 \(\dfrac{k T g}{4 \pi^{2}}\)
2 \(\dfrac{k T^{2} g}{4 \pi^{2}}\)
3 \(\dfrac{k T g}{2 \pi^{2}}\)
4 \(\dfrac{k T^{2} g}{2 \pi^{2}}\)
PHXI14:OSCILLATIONS

364382 The period of oscillation of a mass \(M\) suspended from a spring of negligiable mass is \(T\). If along with it another mass \(M\) is also suspended, the period of oscillation will now be

1 \(T\)
2 \(T / \sqrt{2}\)
3 \(2 T\)
4 \(\sqrt{2} T\)
PHXI14:OSCILLATIONS

364383 A block of mass \(M\) is hanged from the ceiling by a spring with a spring constant \(k\). It executes SHM with a period \(P\). If the mass of the ball is increased by four times, the new period will be:

1 \(\frac{P}{4}\)
2 \(4P\)
3 \(P\)
4 \(2P\)
PHXI14:OSCILLATIONS

364384 A sphere of mass \({M}\) and radius \({R}\) is on a smooth fixed inclined plane in equilibrium as shown in the figure. If now the sphere is displaced through a small distance along the plane, what will be the angular frequency of the resulting \(SHM\) ?
(Given, \({k=\dfrac{4 M}{3}}\))
supporting img

1 \(5\,rad\,{s^{ - 1}}\)
2 \(1\,rad\,{s^{ - 1}}\)
3 \(4\,rad\,{s^{ - 1}}\)
4 \(7\,rad\,{s^{ - 1}}\)
PHXI14:OSCILLATIONS

364381 A mass is suspended from a spring vibrating spring constant \(k\) is displaced vertically and released, it oscillates with period \(T\). The weight of the mass suspended is ( \(g = \) gravitational acceleration)

1 \(\dfrac{k T g}{4 \pi^{2}}\)
2 \(\dfrac{k T^{2} g}{4 \pi^{2}}\)
3 \(\dfrac{k T g}{2 \pi^{2}}\)
4 \(\dfrac{k T^{2} g}{2 \pi^{2}}\)
PHXI14:OSCILLATIONS

364382 The period of oscillation of a mass \(M\) suspended from a spring of negligiable mass is \(T\). If along with it another mass \(M\) is also suspended, the period of oscillation will now be

1 \(T\)
2 \(T / \sqrt{2}\)
3 \(2 T\)
4 \(\sqrt{2} T\)
PHXI14:OSCILLATIONS

364383 A block of mass \(M\) is hanged from the ceiling by a spring with a spring constant \(k\). It executes SHM with a period \(P\). If the mass of the ball is increased by four times, the new period will be:

1 \(\frac{P}{4}\)
2 \(4P\)
3 \(P\)
4 \(2P\)
PHXI14:OSCILLATIONS

364384 A sphere of mass \({M}\) and radius \({R}\) is on a smooth fixed inclined plane in equilibrium as shown in the figure. If now the sphere is displaced through a small distance along the plane, what will be the angular frequency of the resulting \(SHM\) ?
(Given, \({k=\dfrac{4 M}{3}}\))
supporting img

1 \(5\,rad\,{s^{ - 1}}\)
2 \(1\,rad\,{s^{ - 1}}\)
3 \(4\,rad\,{s^{ - 1}}\)
4 \(7\,rad\,{s^{ - 1}}\)
PHXI14:OSCILLATIONS

364381 A mass is suspended from a spring vibrating spring constant \(k\) is displaced vertically and released, it oscillates with period \(T\). The weight of the mass suspended is ( \(g = \) gravitational acceleration)

1 \(\dfrac{k T g}{4 \pi^{2}}\)
2 \(\dfrac{k T^{2} g}{4 \pi^{2}}\)
3 \(\dfrac{k T g}{2 \pi^{2}}\)
4 \(\dfrac{k T^{2} g}{2 \pi^{2}}\)
PHXI14:OSCILLATIONS

364382 The period of oscillation of a mass \(M\) suspended from a spring of negligiable mass is \(T\). If along with it another mass \(M\) is also suspended, the period of oscillation will now be

1 \(T\)
2 \(T / \sqrt{2}\)
3 \(2 T\)
4 \(\sqrt{2} T\)
PHXI14:OSCILLATIONS

364383 A block of mass \(M\) is hanged from the ceiling by a spring with a spring constant \(k\). It executes SHM with a period \(P\). If the mass of the ball is increased by four times, the new period will be:

1 \(\frac{P}{4}\)
2 \(4P\)
3 \(P\)
4 \(2P\)
PHXI14:OSCILLATIONS

364384 A sphere of mass \({M}\) and radius \({R}\) is on a smooth fixed inclined plane in equilibrium as shown in the figure. If now the sphere is displaced through a small distance along the plane, what will be the angular frequency of the resulting \(SHM\) ?
(Given, \({k=\dfrac{4 M}{3}}\))
supporting img

1 \(5\,rad\,{s^{ - 1}}\)
2 \(1\,rad\,{s^{ - 1}}\)
3 \(4\,rad\,{s^{ - 1}}\)
4 \(7\,rad\,{s^{ - 1}}\)
PHXI14:OSCILLATIONS

364381 A mass is suspended from a spring vibrating spring constant \(k\) is displaced vertically and released, it oscillates with period \(T\). The weight of the mass suspended is ( \(g = \) gravitational acceleration)

1 \(\dfrac{k T g}{4 \pi^{2}}\)
2 \(\dfrac{k T^{2} g}{4 \pi^{2}}\)
3 \(\dfrac{k T g}{2 \pi^{2}}\)
4 \(\dfrac{k T^{2} g}{2 \pi^{2}}\)
PHXI14:OSCILLATIONS

364382 The period of oscillation of a mass \(M\) suspended from a spring of negligiable mass is \(T\). If along with it another mass \(M\) is also suspended, the period of oscillation will now be

1 \(T\)
2 \(T / \sqrt{2}\)
3 \(2 T\)
4 \(\sqrt{2} T\)
PHXI14:OSCILLATIONS

364383 A block of mass \(M\) is hanged from the ceiling by a spring with a spring constant \(k\). It executes SHM with a period \(P\). If the mass of the ball is increased by four times, the new period will be:

1 \(\frac{P}{4}\)
2 \(4P\)
3 \(P\)
4 \(2P\)
PHXI14:OSCILLATIONS

364384 A sphere of mass \({M}\) and radius \({R}\) is on a smooth fixed inclined plane in equilibrium as shown in the figure. If now the sphere is displaced through a small distance along the plane, what will be the angular frequency of the resulting \(SHM\) ?
(Given, \({k=\dfrac{4 M}{3}}\))
supporting img

1 \(5\,rad\,{s^{ - 1}}\)
2 \(1\,rad\,{s^{ - 1}}\)
3 \(4\,rad\,{s^{ - 1}}\)
4 \(7\,rad\,{s^{ - 1}}\)
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