Some Systems Executing Simple Harmonic Motion
PHXI14:OSCILLATIONS

364390 A \(10\;kg\) metal block is attached to a spring of spring constant \(1000\;N\;{m^{ - 1}}\). A block is displaced from equilibrium position by \(10\;cm\) and released. The maximum acceleration of the block is

1 \(200\;m\;{s^{ - 2}}\)
2 \(10\;m\;{s^{ - 2}}\)
3 \(0.1\;m\;{s^{ - 2}}\)
4 \(100\;m\;{s^{ - 2}}\)
PHXI14:OSCILLATIONS

364391 Figure shows a block \(P\) of mass \(m\) resting on a horizontal smooth floor at a distance \(l\) from a rigid wall. Block is pushed toward right by a distance \(3{\rm{ }}l/d\) and released, when block passes from its mean position another block of mass \(m_{1}\) is placed on it which sticks to it due to friction. Find the ratio of \(\dfrac{m_{1}}{m}\) so that the combined block just collides with the left wall.
supporting img

1 2.36
2 1.25
3 5.27
4 8.68
PHXI14:OSCILLATIONS

364392 Two massless springs with spring constant \(2\;K\) and \(2\;K\), carry \(20\;g\) and \(90\;g\) masses at their free ends. These two masses oscillate vertically such that their maximum velocities are equal. Then, the ratio of their respective amplitudes will be:

1 \(1: 2\)
2 \(3: 2\)
3 \(3: 1\)
4 \(2: 3\)
PHXI14:OSCILLATIONS

364393 A block \(P\) of mass \(m\) is placed on a smooth horizontal surface. A block \(Q\) of same mass is placed over the block \(P\) and the coefficient of static friction between them is \(\mu_{s}\). A spring of spring constant \(K\) is attached to block \(Q\). The blocks are displaced together to a distance A and released. The upper block oscillates without slipping over the lower block. The maximum frictional force between the block is
supporting img

1 \(K\)
2 \({\rm{Zero}}\)
3 \(\mu g\)
4 \(K A / 2\)
PHXI14:OSCILLATIONS

364390 A \(10\;kg\) metal block is attached to a spring of spring constant \(1000\;N\;{m^{ - 1}}\). A block is displaced from equilibrium position by \(10\;cm\) and released. The maximum acceleration of the block is

1 \(200\;m\;{s^{ - 2}}\)
2 \(10\;m\;{s^{ - 2}}\)
3 \(0.1\;m\;{s^{ - 2}}\)
4 \(100\;m\;{s^{ - 2}}\)
PHXI14:OSCILLATIONS

364391 Figure shows a block \(P\) of mass \(m\) resting on a horizontal smooth floor at a distance \(l\) from a rigid wall. Block is pushed toward right by a distance \(3{\rm{ }}l/d\) and released, when block passes from its mean position another block of mass \(m_{1}\) is placed on it which sticks to it due to friction. Find the ratio of \(\dfrac{m_{1}}{m}\) so that the combined block just collides with the left wall.
supporting img

1 2.36
2 1.25
3 5.27
4 8.68
PHXI14:OSCILLATIONS

364392 Two massless springs with spring constant \(2\;K\) and \(2\;K\), carry \(20\;g\) and \(90\;g\) masses at their free ends. These two masses oscillate vertically such that their maximum velocities are equal. Then, the ratio of their respective amplitudes will be:

1 \(1: 2\)
2 \(3: 2\)
3 \(3: 1\)
4 \(2: 3\)
PHXI14:OSCILLATIONS

364393 A block \(P\) of mass \(m\) is placed on a smooth horizontal surface. A block \(Q\) of same mass is placed over the block \(P\) and the coefficient of static friction between them is \(\mu_{s}\). A spring of spring constant \(K\) is attached to block \(Q\). The blocks are displaced together to a distance A and released. The upper block oscillates without slipping over the lower block. The maximum frictional force between the block is
supporting img

1 \(K\)
2 \({\rm{Zero}}\)
3 \(\mu g\)
4 \(K A / 2\)
PHXI14:OSCILLATIONS

364390 A \(10\;kg\) metal block is attached to a spring of spring constant \(1000\;N\;{m^{ - 1}}\). A block is displaced from equilibrium position by \(10\;cm\) and released. The maximum acceleration of the block is

1 \(200\;m\;{s^{ - 2}}\)
2 \(10\;m\;{s^{ - 2}}\)
3 \(0.1\;m\;{s^{ - 2}}\)
4 \(100\;m\;{s^{ - 2}}\)
PHXI14:OSCILLATIONS

364391 Figure shows a block \(P\) of mass \(m\) resting on a horizontal smooth floor at a distance \(l\) from a rigid wall. Block is pushed toward right by a distance \(3{\rm{ }}l/d\) and released, when block passes from its mean position another block of mass \(m_{1}\) is placed on it which sticks to it due to friction. Find the ratio of \(\dfrac{m_{1}}{m}\) so that the combined block just collides with the left wall.
supporting img

1 2.36
2 1.25
3 5.27
4 8.68
PHXI14:OSCILLATIONS

364392 Two massless springs with spring constant \(2\;K\) and \(2\;K\), carry \(20\;g\) and \(90\;g\) masses at their free ends. These two masses oscillate vertically such that their maximum velocities are equal. Then, the ratio of their respective amplitudes will be:

1 \(1: 2\)
2 \(3: 2\)
3 \(3: 1\)
4 \(2: 3\)
PHXI14:OSCILLATIONS

364393 A block \(P\) of mass \(m\) is placed on a smooth horizontal surface. A block \(Q\) of same mass is placed over the block \(P\) and the coefficient of static friction between them is \(\mu_{s}\). A spring of spring constant \(K\) is attached to block \(Q\). The blocks are displaced together to a distance A and released. The upper block oscillates without slipping over the lower block. The maximum frictional force between the block is
supporting img

1 \(K\)
2 \({\rm{Zero}}\)
3 \(\mu g\)
4 \(K A / 2\)
PHXI14:OSCILLATIONS

364390 A \(10\;kg\) metal block is attached to a spring of spring constant \(1000\;N\;{m^{ - 1}}\). A block is displaced from equilibrium position by \(10\;cm\) and released. The maximum acceleration of the block is

1 \(200\;m\;{s^{ - 2}}\)
2 \(10\;m\;{s^{ - 2}}\)
3 \(0.1\;m\;{s^{ - 2}}\)
4 \(100\;m\;{s^{ - 2}}\)
PHXI14:OSCILLATIONS

364391 Figure shows a block \(P\) of mass \(m\) resting on a horizontal smooth floor at a distance \(l\) from a rigid wall. Block is pushed toward right by a distance \(3{\rm{ }}l/d\) and released, when block passes from its mean position another block of mass \(m_{1}\) is placed on it which sticks to it due to friction. Find the ratio of \(\dfrac{m_{1}}{m}\) so that the combined block just collides with the left wall.
supporting img

1 2.36
2 1.25
3 5.27
4 8.68
PHXI14:OSCILLATIONS

364392 Two massless springs with spring constant \(2\;K\) and \(2\;K\), carry \(20\;g\) and \(90\;g\) masses at their free ends. These two masses oscillate vertically such that their maximum velocities are equal. Then, the ratio of their respective amplitudes will be:

1 \(1: 2\)
2 \(3: 2\)
3 \(3: 1\)
4 \(2: 3\)
PHXI14:OSCILLATIONS

364393 A block \(P\) of mass \(m\) is placed on a smooth horizontal surface. A block \(Q\) of same mass is placed over the block \(P\) and the coefficient of static friction between them is \(\mu_{s}\). A spring of spring constant \(K\) is attached to block \(Q\). The blocks are displaced together to a distance A and released. The upper block oscillates without slipping over the lower block. The maximum frictional force between the block is
supporting img

1 \(K\)
2 \({\rm{Zero}}\)
3 \(\mu g\)
4 \(K A / 2\)