Some Systems Executing Simple Harmonic Motion
PHXI14:OSCILLATIONS

364394 Statement A :
A block of large mass \(m\) attached to a spring will have large oscillation frequency.
Statement B :
Stiff springs have high value of spring constant.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI14:OSCILLATIONS

364395 A block of mass \(M\) is suspended from a light spring of force constant \(k\). Another mass \(m\) moving downwards hits the mass \(M\) and gets embeded in it. What will be the shift in mean position of the system.

1 \(\dfrac{2 M g}{k}\)
2 \(\dfrac{M g}{K}\)
3 \(\dfrac{m g}{K}\)
4 \(\dfrac{2 m g}{K}\)
PHXI14:OSCILLATIONS

364396 A uniform rod of length \(l\) and mass \(m = 1\;kg\) is hinged at its lowest point \(\mathrm{O}\) and is connected at its highest point \(A\) by means of a spring of spring constant \(k\) (in fig.). When it is pushed slightly, what is the frequency of oscillation? (Take \(l = 2\;m,k = 10 \,units,{\rm{ }}\sqrt {10} = 3.14\) )
supporting img

1 \(2.65\,rad/s\)
2 \(1.98\,\,rad/s\)
3 \(4.71\,\,rad/s\)
4 \(7.26\,\,rad/s\)
PHXI14:OSCILLATIONS

364397 Two masses \(m_{1}\) and \(m_{2}\) are suspended together by a massless spring of spring constant \(k\). When the masses are in equilibrium \({m_1}\) is removed without disturbing the system, then the angular frequency of oscillation will be

1 \(\sqrt {\frac{k}{{{m_1} + {m_2}}}} \)
2 \(\sqrt {\frac{k}{{{m_2}}}} + {m_1}\)
3 \(\sqrt {\frac{k}{{{m_1}}}} \)
4 \(\sqrt {\frac{k}{{{m_2}}}} \)
PHXI14:OSCILLATIONS

364394 Statement A :
A block of large mass \(m\) attached to a spring will have large oscillation frequency.
Statement B :
Stiff springs have high value of spring constant.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI14:OSCILLATIONS

364395 A block of mass \(M\) is suspended from a light spring of force constant \(k\). Another mass \(m\) moving downwards hits the mass \(M\) and gets embeded in it. What will be the shift in mean position of the system.

1 \(\dfrac{2 M g}{k}\)
2 \(\dfrac{M g}{K}\)
3 \(\dfrac{m g}{K}\)
4 \(\dfrac{2 m g}{K}\)
PHXI14:OSCILLATIONS

364396 A uniform rod of length \(l\) and mass \(m = 1\;kg\) is hinged at its lowest point \(\mathrm{O}\) and is connected at its highest point \(A\) by means of a spring of spring constant \(k\) (in fig.). When it is pushed slightly, what is the frequency of oscillation? (Take \(l = 2\;m,k = 10 \,units,{\rm{ }}\sqrt {10} = 3.14\) )
supporting img

1 \(2.65\,rad/s\)
2 \(1.98\,\,rad/s\)
3 \(4.71\,\,rad/s\)
4 \(7.26\,\,rad/s\)
PHXI14:OSCILLATIONS

364397 Two masses \(m_{1}\) and \(m_{2}\) are suspended together by a massless spring of spring constant \(k\). When the masses are in equilibrium \({m_1}\) is removed without disturbing the system, then the angular frequency of oscillation will be

1 \(\sqrt {\frac{k}{{{m_1} + {m_2}}}} \)
2 \(\sqrt {\frac{k}{{{m_2}}}} + {m_1}\)
3 \(\sqrt {\frac{k}{{{m_1}}}} \)
4 \(\sqrt {\frac{k}{{{m_2}}}} \)
PHXI14:OSCILLATIONS

364394 Statement A :
A block of large mass \(m\) attached to a spring will have large oscillation frequency.
Statement B :
Stiff springs have high value of spring constant.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI14:OSCILLATIONS

364395 A block of mass \(M\) is suspended from a light spring of force constant \(k\). Another mass \(m\) moving downwards hits the mass \(M\) and gets embeded in it. What will be the shift in mean position of the system.

1 \(\dfrac{2 M g}{k}\)
2 \(\dfrac{M g}{K}\)
3 \(\dfrac{m g}{K}\)
4 \(\dfrac{2 m g}{K}\)
PHXI14:OSCILLATIONS

364396 A uniform rod of length \(l\) and mass \(m = 1\;kg\) is hinged at its lowest point \(\mathrm{O}\) and is connected at its highest point \(A\) by means of a spring of spring constant \(k\) (in fig.). When it is pushed slightly, what is the frequency of oscillation? (Take \(l = 2\;m,k = 10 \,units,{\rm{ }}\sqrt {10} = 3.14\) )
supporting img

1 \(2.65\,rad/s\)
2 \(1.98\,\,rad/s\)
3 \(4.71\,\,rad/s\)
4 \(7.26\,\,rad/s\)
PHXI14:OSCILLATIONS

364397 Two masses \(m_{1}\) and \(m_{2}\) are suspended together by a massless spring of spring constant \(k\). When the masses are in equilibrium \({m_1}\) is removed without disturbing the system, then the angular frequency of oscillation will be

1 \(\sqrt {\frac{k}{{{m_1} + {m_2}}}} \)
2 \(\sqrt {\frac{k}{{{m_2}}}} + {m_1}\)
3 \(\sqrt {\frac{k}{{{m_1}}}} \)
4 \(\sqrt {\frac{k}{{{m_2}}}} \)
PHXI14:OSCILLATIONS

364394 Statement A :
A block of large mass \(m\) attached to a spring will have large oscillation frequency.
Statement B :
Stiff springs have high value of spring constant.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI14:OSCILLATIONS

364395 A block of mass \(M\) is suspended from a light spring of force constant \(k\). Another mass \(m\) moving downwards hits the mass \(M\) and gets embeded in it. What will be the shift in mean position of the system.

1 \(\dfrac{2 M g}{k}\)
2 \(\dfrac{M g}{K}\)
3 \(\dfrac{m g}{K}\)
4 \(\dfrac{2 m g}{K}\)
PHXI14:OSCILLATIONS

364396 A uniform rod of length \(l\) and mass \(m = 1\;kg\) is hinged at its lowest point \(\mathrm{O}\) and is connected at its highest point \(A\) by means of a spring of spring constant \(k\) (in fig.). When it is pushed slightly, what is the frequency of oscillation? (Take \(l = 2\;m,k = 10 \,units,{\rm{ }}\sqrt {10} = 3.14\) )
supporting img

1 \(2.65\,rad/s\)
2 \(1.98\,\,rad/s\)
3 \(4.71\,\,rad/s\)
4 \(7.26\,\,rad/s\)
PHXI14:OSCILLATIONS

364397 Two masses \(m_{1}\) and \(m_{2}\) are suspended together by a massless spring of spring constant \(k\). When the masses are in equilibrium \({m_1}\) is removed without disturbing the system, then the angular frequency of oscillation will be

1 \(\sqrt {\frac{k}{{{m_1} + {m_2}}}} \)
2 \(\sqrt {\frac{k}{{{m_2}}}} + {m_1}\)
3 \(\sqrt {\frac{k}{{{m_1}}}} \)
4 \(\sqrt {\frac{k}{{{m_2}}}} \)