Some Systems Executing Simple Harmonic Motion
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PHXI14:OSCILLATIONS

364420 Force constant of a weight less spring is \(16\;N/m\). A body of mass \(1.0\;kg\) suspended from it is pulled down through \(5\;cm\) from its mean position and then released. The maximum kinetic energy of the body will be

1 \(2 \times {10^{ - 2}}\;J\)
2 \(4 \times {10^{ - 2}}\;J\)
3 \(8 \times {10^{ - 2}}\;J\)
4 \(16 \times {10^{ - 2}}\;J\)
PHXI14:OSCILLATIONS

364421 A mass \(M\) is attached to a horizontal spring of force constant \(k\) fixed on one side to a rigid support as shown figure. The mass oscillates on a frictionless surface with time period \(T\) and amplitude A. When the mass is in equilibrium position, another mass \(m\) is gently placed on it and both stick together. What will be the new amplitude of oscillation?
supporting img

1 \(A \sqrt{\left(\dfrac{M-m}{M}\right)}\)
2 \(A \sqrt{\left(\dfrac{M}{M-m}\right)}\)
3 \(A \sqrt{\left(\dfrac{M}{M+m}\right)}\)
4 \(A \sqrt{\left(\dfrac{M+m}{M}\right)}\)
PHXI14:OSCILLATIONS

364422 Three masses \(0.1\;kg,0.3\;kg\) and \(0.4\;kg\) are suspended at end of a spring. When the \(0.4\;kg\) mass is removed, the system oscillates with a period \(2\;s\). When the \(0.3\;kg\) mass is also removed, the system will oscillate with a period

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

364423 An iron ball of mass \(M\) is hanged from the ceiling by a spring with a spring constant \(k\). It executes a \(S H M\) with a period \(P\). If the mass of the ball is increased by four times, the new period will be

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

364420 Force constant of a weight less spring is \(16\;N/m\). A body of mass \(1.0\;kg\) suspended from it is pulled down through \(5\;cm\) from its mean position and then released. The maximum kinetic energy of the body will be

1 \(2 \times {10^{ - 2}}\;J\)
2 \(4 \times {10^{ - 2}}\;J\)
3 \(8 \times {10^{ - 2}}\;J\)
4 \(16 \times {10^{ - 2}}\;J\)
PHXI14:OSCILLATIONS

364421 A mass \(M\) is attached to a horizontal spring of force constant \(k\) fixed on one side to a rigid support as shown figure. The mass oscillates on a frictionless surface with time period \(T\) and amplitude A. When the mass is in equilibrium position, another mass \(m\) is gently placed on it and both stick together. What will be the new amplitude of oscillation?
supporting img

1 \(A \sqrt{\left(\dfrac{M-m}{M}\right)}\)
2 \(A \sqrt{\left(\dfrac{M}{M-m}\right)}\)
3 \(A \sqrt{\left(\dfrac{M}{M+m}\right)}\)
4 \(A \sqrt{\left(\dfrac{M+m}{M}\right)}\)
PHXI14:OSCILLATIONS

364422 Three masses \(0.1\;kg,0.3\;kg\) and \(0.4\;kg\) are suspended at end of a spring. When the \(0.4\;kg\) mass is removed, the system oscillates with a period \(2\;s\). When the \(0.3\;kg\) mass is also removed, the system will oscillate with a period

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

364423 An iron ball of mass \(M\) is hanged from the ceiling by a spring with a spring constant \(k\). It executes a \(S H M\) with a period \(P\). If the mass of the ball is increased by four times, the new period will be

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

364420 Force constant of a weight less spring is \(16\;N/m\). A body of mass \(1.0\;kg\) suspended from it is pulled down through \(5\;cm\) from its mean position and then released. The maximum kinetic energy of the body will be

1 \(2 \times {10^{ - 2}}\;J\)
2 \(4 \times {10^{ - 2}}\;J\)
3 \(8 \times {10^{ - 2}}\;J\)
4 \(16 \times {10^{ - 2}}\;J\)
PHXI14:OSCILLATIONS

364421 A mass \(M\) is attached to a horizontal spring of force constant \(k\) fixed on one side to a rigid support as shown figure. The mass oscillates on a frictionless surface with time period \(T\) and amplitude A. When the mass is in equilibrium position, another mass \(m\) is gently placed on it and both stick together. What will be the new amplitude of oscillation?
supporting img

1 \(A \sqrt{\left(\dfrac{M-m}{M}\right)}\)
2 \(A \sqrt{\left(\dfrac{M}{M-m}\right)}\)
3 \(A \sqrt{\left(\dfrac{M}{M+m}\right)}\)
4 \(A \sqrt{\left(\dfrac{M+m}{M}\right)}\)
PHXI14:OSCILLATIONS

364422 Three masses \(0.1\;kg,0.3\;kg\) and \(0.4\;kg\) are suspended at end of a spring. When the \(0.4\;kg\) mass is removed, the system oscillates with a period \(2\;s\). When the \(0.3\;kg\) mass is also removed, the system will oscillate with a period

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

364423 An iron ball of mass \(M\) is hanged from the ceiling by a spring with a spring constant \(k\). It executes a \(S H M\) with a period \(P\). If the mass of the ball is increased by four times, the new period will be

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

364420 Force constant of a weight less spring is \(16\;N/m\). A body of mass \(1.0\;kg\) suspended from it is pulled down through \(5\;cm\) from its mean position and then released. The maximum kinetic energy of the body will be

1 \(2 \times {10^{ - 2}}\;J\)
2 \(4 \times {10^{ - 2}}\;J\)
3 \(8 \times {10^{ - 2}}\;J\)
4 \(16 \times {10^{ - 2}}\;J\)
PHXI14:OSCILLATIONS

364421 A mass \(M\) is attached to a horizontal spring of force constant \(k\) fixed on one side to a rigid support as shown figure. The mass oscillates on a frictionless surface with time period \(T\) and amplitude A. When the mass is in equilibrium position, another mass \(m\) is gently placed on it and both stick together. What will be the new amplitude of oscillation?
supporting img

1 \(A \sqrt{\left(\dfrac{M-m}{M}\right)}\)
2 \(A \sqrt{\left(\dfrac{M}{M-m}\right)}\)
3 \(A \sqrt{\left(\dfrac{M}{M+m}\right)}\)
4 \(A \sqrt{\left(\dfrac{M+m}{M}\right)}\)
PHXI14:OSCILLATIONS

364422 Three masses \(0.1\;kg,0.3\;kg\) and \(0.4\;kg\) are suspended at end of a spring. When the \(0.4\;kg\) mass is removed, the system oscillates with a period \(2\;s\). When the \(0.3\;kg\) mass is also removed, the system will oscillate with a period

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

364423 An iron ball of mass \(M\) is hanged from the ceiling by a spring with a spring constant \(k\). It executes a \(S H M\) with a period \(P\). If the mass of the ball is increased by four times, the new period will be

1 \(4 P\)
2 \(\dfrac{P}{4}\)
3 \(2 P\)
4 \(P\)
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