Some Systems Executing Simple Harmonic Motion
PHXI14:OSCILLATIONS

364411 The coefficient of friction between block of mass \(m\) and \(2\;m\) is \(\mu=2 \tan \theta\). There is no friction between block of mass \(2\;m\) and inclined plane. The maximum amplitude of the two block system for which there is no relative motion between both the blocks is
supporting img

1 \(\dfrac{m g \sin \theta}{k}\)
2 \(\dfrac{3 m g \sin \theta}{k}\)
3 \(g \sin \theta \sqrt{\dfrac{k}{m}}\)
4 None of these
PHXI14:OSCILLATIONS

364412 Molten - wax of mass m drops on a block of mass \(M\), which is oscillating on a frictionless table as shown. Select the incorrect option
supporting img

1 If the collision takes place at extreme position, amplitude does not change
2 If the collision takes place at mean position, amplitude decreases
3 If the collision takes place at mean position, time period decreases
4 If the collision takes place at extreme position, time period increases
PHXI14:OSCILLATIONS

364413 A body of mass \('m'\) is attached to one end of a massless spring which is suspended vertically from a fixed point. The mass is held in hand, so that the spring is neither stretched nor compressed. Suddenly, the support of the hand is removed. The lowest position attained by the mass during oscillation is \(8\;cm\) below the point, where it was held in hand. The frequency of oscillation is
(Take \(\sqrt {9.8} = \pi \) )

1 \(1.2\,Hz\)
2 \(2.5\,Hz\)
3 \(5.2\,Hz\)
4 \(9.1\,Hz\)
PHXI14:OSCILLATIONS

364414 A simple harmonic oscillator consists of a particle of mass \(m\) and an ideal spring with spring constant \(k\). The particle oscillates with a time period \(T\). The spring is cut into two equal parts. If one part oscillates with the same particle, the time period will be

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

364411 The coefficient of friction between block of mass \(m\) and \(2\;m\) is \(\mu=2 \tan \theta\). There is no friction between block of mass \(2\;m\) and inclined plane. The maximum amplitude of the two block system for which there is no relative motion between both the blocks is
supporting img

1 \(\dfrac{m g \sin \theta}{k}\)
2 \(\dfrac{3 m g \sin \theta}{k}\)
3 \(g \sin \theta \sqrt{\dfrac{k}{m}}\)
4 None of these
PHXI14:OSCILLATIONS

364412 Molten - wax of mass m drops on a block of mass \(M\), which is oscillating on a frictionless table as shown. Select the incorrect option
supporting img

1 If the collision takes place at extreme position, amplitude does not change
2 If the collision takes place at mean position, amplitude decreases
3 If the collision takes place at mean position, time period decreases
4 If the collision takes place at extreme position, time period increases
PHXI14:OSCILLATIONS

364413 A body of mass \('m'\) is attached to one end of a massless spring which is suspended vertically from a fixed point. The mass is held in hand, so that the spring is neither stretched nor compressed. Suddenly, the support of the hand is removed. The lowest position attained by the mass during oscillation is \(8\;cm\) below the point, where it was held in hand. The frequency of oscillation is
(Take \(\sqrt {9.8} = \pi \) )

1 \(1.2\,Hz\)
2 \(2.5\,Hz\)
3 \(5.2\,Hz\)
4 \(9.1\,Hz\)
PHXI14:OSCILLATIONS

364414 A simple harmonic oscillator consists of a particle of mass \(m\) and an ideal spring with spring constant \(k\). The particle oscillates with a time period \(T\). The spring is cut into two equal parts. If one part oscillates with the same particle, the time period will be

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

364411 The coefficient of friction between block of mass \(m\) and \(2\;m\) is \(\mu=2 \tan \theta\). There is no friction between block of mass \(2\;m\) and inclined plane. The maximum amplitude of the two block system for which there is no relative motion between both the blocks is
supporting img

1 \(\dfrac{m g \sin \theta}{k}\)
2 \(\dfrac{3 m g \sin \theta}{k}\)
3 \(g \sin \theta \sqrt{\dfrac{k}{m}}\)
4 None of these
PHXI14:OSCILLATIONS

364412 Molten - wax of mass m drops on a block of mass \(M\), which is oscillating on a frictionless table as shown. Select the incorrect option
supporting img

1 If the collision takes place at extreme position, amplitude does not change
2 If the collision takes place at mean position, amplitude decreases
3 If the collision takes place at mean position, time period decreases
4 If the collision takes place at extreme position, time period increases
PHXI14:OSCILLATIONS

364413 A body of mass \('m'\) is attached to one end of a massless spring which is suspended vertically from a fixed point. The mass is held in hand, so that the spring is neither stretched nor compressed. Suddenly, the support of the hand is removed. The lowest position attained by the mass during oscillation is \(8\;cm\) below the point, where it was held in hand. The frequency of oscillation is
(Take \(\sqrt {9.8} = \pi \) )

1 \(1.2\,Hz\)
2 \(2.5\,Hz\)
3 \(5.2\,Hz\)
4 \(9.1\,Hz\)
PHXI14:OSCILLATIONS

364414 A simple harmonic oscillator consists of a particle of mass \(m\) and an ideal spring with spring constant \(k\). The particle oscillates with a time period \(T\). The spring is cut into two equal parts. If one part oscillates with the same particle, the time period will be

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

364411 The coefficient of friction between block of mass \(m\) and \(2\;m\) is \(\mu=2 \tan \theta\). There is no friction between block of mass \(2\;m\) and inclined plane. The maximum amplitude of the two block system for which there is no relative motion between both the blocks is
supporting img

1 \(\dfrac{m g \sin \theta}{k}\)
2 \(\dfrac{3 m g \sin \theta}{k}\)
3 \(g \sin \theta \sqrt{\dfrac{k}{m}}\)
4 None of these
PHXI14:OSCILLATIONS

364412 Molten - wax of mass m drops on a block of mass \(M\), which is oscillating on a frictionless table as shown. Select the incorrect option
supporting img

1 If the collision takes place at extreme position, amplitude does not change
2 If the collision takes place at mean position, amplitude decreases
3 If the collision takes place at mean position, time period decreases
4 If the collision takes place at extreme position, time period increases
PHXI14:OSCILLATIONS

364413 A body of mass \('m'\) is attached to one end of a massless spring which is suspended vertically from a fixed point. The mass is held in hand, so that the spring is neither stretched nor compressed. Suddenly, the support of the hand is removed. The lowest position attained by the mass during oscillation is \(8\;cm\) below the point, where it was held in hand. The frequency of oscillation is
(Take \(\sqrt {9.8} = \pi \) )

1 \(1.2\,Hz\)
2 \(2.5\,Hz\)
3 \(5.2\,Hz\)
4 \(9.1\,Hz\)
PHXI14:OSCILLATIONS

364414 A simple harmonic oscillator consists of a particle of mass \(m\) and an ideal spring with spring constant \(k\). The particle oscillates with a time period \(T\). The spring is cut into two equal parts. If one part oscillates with the same particle, the time period will be

1 \(2{\rm{ }}T\)
2 \(\sqrt{2} T\)
3 \(\dfrac{T}{\sqrt{2}}\)
4 \(\dfrac{T}{2}\)
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