Some Systems Executing Simple Harmonic Motion
PHXI14:OSCILLATIONS

364407 A mass of \(250\;g\) hangs on a spring and oscillates vertically with a period of \(1.1\;s\). To double the period, what mass must be added to the \(250\;g\) ? (Ignore the mass of the spring)

1 \(250\;g\)
2 \(450\;g\)
3 \(750\;g\)
4 \(550\;g\)
PHXI14:OSCILLATIONS

364408 A block of mass \(m\) rests on a platform. The platform is given up and down SHM with an amplitude \(\mathrm{d}\). What can be the maximum frequency so that the block never leaves the platform?

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

364409 For a simple harmonic motion in a mass spring system shown, the surface is frictionless. When the mass of the block is \(1\;kg\), the angular
supporting img
frequency is \({\omega _1}\). When the mass is \(2\;kg\) the angular frequency is \({\omega _2}\). The ratio \({\omega _2}/{\omega _1}\) is

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

364410 A block of mass \(100\;g\) attached to a spring of spring constant \(100\;N{\rm{/}}m\) is lying on a frictionless floor as shown. The block is moved to compress the spring by \(10\;cm\) and then released. If the collisions with the wall in front are elastic, then the time period of the motion is: (Given \(\pi^{2}=10\) )
supporting img

1 \(0.2\;s\)
2 \(0.1\;s\)
3 \(0.15\,s\)
4 \(0.132\,s\)
PHXI14:OSCILLATIONS

364407 A mass of \(250\;g\) hangs on a spring and oscillates vertically with a period of \(1.1\;s\). To double the period, what mass must be added to the \(250\;g\) ? (Ignore the mass of the spring)

1 \(250\;g\)
2 \(450\;g\)
3 \(750\;g\)
4 \(550\;g\)
PHXI14:OSCILLATIONS

364408 A block of mass \(m\) rests on a platform. The platform is given up and down SHM with an amplitude \(\mathrm{d}\). What can be the maximum frequency so that the block never leaves the platform?

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

364409 For a simple harmonic motion in a mass spring system shown, the surface is frictionless. When the mass of the block is \(1\;kg\), the angular
supporting img
frequency is \({\omega _1}\). When the mass is \(2\;kg\) the angular frequency is \({\omega _2}\). The ratio \({\omega _2}/{\omega _1}\) is

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

364410 A block of mass \(100\;g\) attached to a spring of spring constant \(100\;N{\rm{/}}m\) is lying on a frictionless floor as shown. The block is moved to compress the spring by \(10\;cm\) and then released. If the collisions with the wall in front are elastic, then the time period of the motion is: (Given \(\pi^{2}=10\) )
supporting img

1 \(0.2\;s\)
2 \(0.1\;s\)
3 \(0.15\,s\)
4 \(0.132\,s\)
PHXI14:OSCILLATIONS

364407 A mass of \(250\;g\) hangs on a spring and oscillates vertically with a period of \(1.1\;s\). To double the period, what mass must be added to the \(250\;g\) ? (Ignore the mass of the spring)

1 \(250\;g\)
2 \(450\;g\)
3 \(750\;g\)
4 \(550\;g\)
PHXI14:OSCILLATIONS

364408 A block of mass \(m\) rests on a platform. The platform is given up and down SHM with an amplitude \(\mathrm{d}\). What can be the maximum frequency so that the block never leaves the platform?

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

364409 For a simple harmonic motion in a mass spring system shown, the surface is frictionless. When the mass of the block is \(1\;kg\), the angular
supporting img
frequency is \({\omega _1}\). When the mass is \(2\;kg\) the angular frequency is \({\omega _2}\). The ratio \({\omega _2}/{\omega _1}\) is

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

364410 A block of mass \(100\;g\) attached to a spring of spring constant \(100\;N{\rm{/}}m\) is lying on a frictionless floor as shown. The block is moved to compress the spring by \(10\;cm\) and then released. If the collisions with the wall in front are elastic, then the time period of the motion is: (Given \(\pi^{2}=10\) )
supporting img

1 \(0.2\;s\)
2 \(0.1\;s\)
3 \(0.15\,s\)
4 \(0.132\,s\)
PHXI14:OSCILLATIONS

364407 A mass of \(250\;g\) hangs on a spring and oscillates vertically with a period of \(1.1\;s\). To double the period, what mass must be added to the \(250\;g\) ? (Ignore the mass of the spring)

1 \(250\;g\)
2 \(450\;g\)
3 \(750\;g\)
4 \(550\;g\)
PHXI14:OSCILLATIONS

364408 A block of mass \(m\) rests on a platform. The platform is given up and down SHM with an amplitude \(\mathrm{d}\). What can be the maximum frequency so that the block never leaves the platform?

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

364409 For a simple harmonic motion in a mass spring system shown, the surface is frictionless. When the mass of the block is \(1\;kg\), the angular
supporting img
frequency is \({\omega _1}\). When the mass is \(2\;kg\) the angular frequency is \({\omega _2}\). The ratio \({\omega _2}/{\omega _1}\) is

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

364410 A block of mass \(100\;g\) attached to a spring of spring constant \(100\;N{\rm{/}}m\) is lying on a frictionless floor as shown. The block is moved to compress the spring by \(10\;cm\) and then released. If the collisions with the wall in front are elastic, then the time period of the motion is: (Given \(\pi^{2}=10\) )
supporting img

1 \(0.2\;s\)
2 \(0.1\;s\)
3 \(0.15\,s\)
4 \(0.132\,s\)