Damped Simple Harmonic Motion
PHXI14:OSCILLATIONS

364266 The equation of motion of a particle performing linear S.H.M is \(x=5 \sin \left[4 t-\dfrac{\pi}{6}\right]\), where ' \(x\) ' is its displacement in \(cm\). The velocity of the particle when its displacement is \(3\,\,cm\), is

1 \(10\;cm{\rm{/}}s\)
2 \(16\;cm{\rm{/}}s\)
3 \(6\;cm{\rm{/}}s\)
4 \(8\;cm{\rm{/}}s\)
PHXI14:OSCILLATIONS

364267 A particle is executing SHM along \(x\)-axis around \(x=0\). The ratio of velocities of particle in SHM at \(x=a / 3\) and \(x=2 a / 3\) will be

1 \(1: 2\)
2 \(2: 1\)
3 \(\sqrt{8}: \sqrt{5}\)
4 \(\sqrt{5}: \sqrt{8}\)
PHXI14:OSCILLATIONS

364268 A particle executes \(S H M\), its time period is \(16 s\). If it passes through the centre of oscillation, then its velocity is \(2\;m{s^{ - 1}}\) at time \(2 s\). The amplitude will be

1 \(7.2\;m\)
2 \(4\;cm\)
3 \(6\;cm\)
4 \(0.72\;cm\)
PHXI14:OSCILLATIONS

364269 The equation of motion of a particle executing simple harmonic motion is \(a+16 \pi^{2} x=0\). In this equation, \(a\) is the linear acceleration in \(m / s^{2}\) of the particle at a displacement \(x\) in metre. The time period in simple harmonic motion is:

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

364266 The equation of motion of a particle performing linear S.H.M is \(x=5 \sin \left[4 t-\dfrac{\pi}{6}\right]\), where ' \(x\) ' is its displacement in \(cm\). The velocity of the particle when its displacement is \(3\,\,cm\), is

1 \(10\;cm{\rm{/}}s\)
2 \(16\;cm{\rm{/}}s\)
3 \(6\;cm{\rm{/}}s\)
4 \(8\;cm{\rm{/}}s\)
PHXI14:OSCILLATIONS

364267 A particle is executing SHM along \(x\)-axis around \(x=0\). The ratio of velocities of particle in SHM at \(x=a / 3\) and \(x=2 a / 3\) will be

1 \(1: 2\)
2 \(2: 1\)
3 \(\sqrt{8}: \sqrt{5}\)
4 \(\sqrt{5}: \sqrt{8}\)
PHXI14:OSCILLATIONS

364268 A particle executes \(S H M\), its time period is \(16 s\). If it passes through the centre of oscillation, then its velocity is \(2\;m{s^{ - 1}}\) at time \(2 s\). The amplitude will be

1 \(7.2\;m\)
2 \(4\;cm\)
3 \(6\;cm\)
4 \(0.72\;cm\)
PHXI14:OSCILLATIONS

364269 The equation of motion of a particle executing simple harmonic motion is \(a+16 \pi^{2} x=0\). In this equation, \(a\) is the linear acceleration in \(m / s^{2}\) of the particle at a displacement \(x\) in metre. The time period in simple harmonic motion is:

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

364266 The equation of motion of a particle performing linear S.H.M is \(x=5 \sin \left[4 t-\dfrac{\pi}{6}\right]\), where ' \(x\) ' is its displacement in \(cm\). The velocity of the particle when its displacement is \(3\,\,cm\), is

1 \(10\;cm{\rm{/}}s\)
2 \(16\;cm{\rm{/}}s\)
3 \(6\;cm{\rm{/}}s\)
4 \(8\;cm{\rm{/}}s\)
PHXI14:OSCILLATIONS

364267 A particle is executing SHM along \(x\)-axis around \(x=0\). The ratio of velocities of particle in SHM at \(x=a / 3\) and \(x=2 a / 3\) will be

1 \(1: 2\)
2 \(2: 1\)
3 \(\sqrt{8}: \sqrt{5}\)
4 \(\sqrt{5}: \sqrt{8}\)
PHXI14:OSCILLATIONS

364268 A particle executes \(S H M\), its time period is \(16 s\). If it passes through the centre of oscillation, then its velocity is \(2\;m{s^{ - 1}}\) at time \(2 s\). The amplitude will be

1 \(7.2\;m\)
2 \(4\;cm\)
3 \(6\;cm\)
4 \(0.72\;cm\)
PHXI14:OSCILLATIONS

364269 The equation of motion of a particle executing simple harmonic motion is \(a+16 \pi^{2} x=0\). In this equation, \(a\) is the linear acceleration in \(m / s^{2}\) of the particle at a displacement \(x\) in metre. The time period in simple harmonic motion is:

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

364266 The equation of motion of a particle performing linear S.H.M is \(x=5 \sin \left[4 t-\dfrac{\pi}{6}\right]\), where ' \(x\) ' is its displacement in \(cm\). The velocity of the particle when its displacement is \(3\,\,cm\), is

1 \(10\;cm{\rm{/}}s\)
2 \(16\;cm{\rm{/}}s\)
3 \(6\;cm{\rm{/}}s\)
4 \(8\;cm{\rm{/}}s\)
PHXI14:OSCILLATIONS

364267 A particle is executing SHM along \(x\)-axis around \(x=0\). The ratio of velocities of particle in SHM at \(x=a / 3\) and \(x=2 a / 3\) will be

1 \(1: 2\)
2 \(2: 1\)
3 \(\sqrt{8}: \sqrt{5}\)
4 \(\sqrt{5}: \sqrt{8}\)
PHXI14:OSCILLATIONS

364268 A particle executes \(S H M\), its time period is \(16 s\). If it passes through the centre of oscillation, then its velocity is \(2\;m{s^{ - 1}}\) at time \(2 s\). The amplitude will be

1 \(7.2\;m\)
2 \(4\;cm\)
3 \(6\;cm\)
4 \(0.72\;cm\)
PHXI14:OSCILLATIONS

364269 The equation of motion of a particle executing simple harmonic motion is \(a+16 \pi^{2} x=0\). In this equation, \(a\) is the linear acceleration in \(m / s^{2}\) of the particle at a displacement \(x\) in metre. The time period in simple harmonic motion is:

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