Plane Motion of a Rigid Body
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366028 A solid sphere is in rolling motion. In rolling motion a body possesses translational kinetic energy \(\left(K_{t}\right)\) and rotational kinetic energy \(\left(K_{r}\right)\) simultaneously. The ratio \(K_{t}:\left(K_{t}+K_{r}\right)\) for the sphere is

1 \(10: 7\)
2 \(2: 5\)
3 \(5: 7\)
4 \(7: 10\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366029 A disc of radius \(2\;m\) and mass \(100\;kg\) rolls on a horizontal floor. Its centre of mass has speed of \(20\;cm/s\). How much work is needed to stop it?

1 \(3\;J\)
2 \(30\;kJ\)
3 \(2\;J\)
4 \(1\;J\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366030 A disc of radius \(R\) and mass \(M\) is rolling horizontally without slipping with speed \(v\). It then moves up an inclined smooth surface as shown in figure. The maximum height that the disc can go up the incline is
supporting img

1 \(\dfrac{3}{4} \dfrac{v^{2}}{g}\)
2 \(\dfrac{v^{2}}{g}\)
3 \(\dfrac{2}{3} \dfrac{v^{2}}{g}\)
4 \(\dfrac{1}{2} \dfrac{v^{2}}{g}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366031 Assertion :
The total kinetic energy of a rolling solid sphere is the sum of translational and rotational kinetic energies.
Reason :
For all solid bodies total kinetic energy is always twice translational kinetic energy.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366028 A solid sphere is in rolling motion. In rolling motion a body possesses translational kinetic energy \(\left(K_{t}\right)\) and rotational kinetic energy \(\left(K_{r}\right)\) simultaneously. The ratio \(K_{t}:\left(K_{t}+K_{r}\right)\) for the sphere is

1 \(10: 7\)
2 \(2: 5\)
3 \(5: 7\)
4 \(7: 10\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366029 A disc of radius \(2\;m\) and mass \(100\;kg\) rolls on a horizontal floor. Its centre of mass has speed of \(20\;cm/s\). How much work is needed to stop it?

1 \(3\;J\)
2 \(30\;kJ\)
3 \(2\;J\)
4 \(1\;J\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366030 A disc of radius \(R\) and mass \(M\) is rolling horizontally without slipping with speed \(v\). It then moves up an inclined smooth surface as shown in figure. The maximum height that the disc can go up the incline is
supporting img

1 \(\dfrac{3}{4} \dfrac{v^{2}}{g}\)
2 \(\dfrac{v^{2}}{g}\)
3 \(\dfrac{2}{3} \dfrac{v^{2}}{g}\)
4 \(\dfrac{1}{2} \dfrac{v^{2}}{g}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366031 Assertion :
The total kinetic energy of a rolling solid sphere is the sum of translational and rotational kinetic energies.
Reason :
For all solid bodies total kinetic energy is always twice translational kinetic energy.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366028 A solid sphere is in rolling motion. In rolling motion a body possesses translational kinetic energy \(\left(K_{t}\right)\) and rotational kinetic energy \(\left(K_{r}\right)\) simultaneously. The ratio \(K_{t}:\left(K_{t}+K_{r}\right)\) for the sphere is

1 \(10: 7\)
2 \(2: 5\)
3 \(5: 7\)
4 \(7: 10\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366029 A disc of radius \(2\;m\) and mass \(100\;kg\) rolls on a horizontal floor. Its centre of mass has speed of \(20\;cm/s\). How much work is needed to stop it?

1 \(3\;J\)
2 \(30\;kJ\)
3 \(2\;J\)
4 \(1\;J\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366030 A disc of radius \(R\) and mass \(M\) is rolling horizontally without slipping with speed \(v\). It then moves up an inclined smooth surface as shown in figure. The maximum height that the disc can go up the incline is
supporting img

1 \(\dfrac{3}{4} \dfrac{v^{2}}{g}\)
2 \(\dfrac{v^{2}}{g}\)
3 \(\dfrac{2}{3} \dfrac{v^{2}}{g}\)
4 \(\dfrac{1}{2} \dfrac{v^{2}}{g}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366031 Assertion :
The total kinetic energy of a rolling solid sphere is the sum of translational and rotational kinetic energies.
Reason :
For all solid bodies total kinetic energy is always twice translational kinetic energy.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366028 A solid sphere is in rolling motion. In rolling motion a body possesses translational kinetic energy \(\left(K_{t}\right)\) and rotational kinetic energy \(\left(K_{r}\right)\) simultaneously. The ratio \(K_{t}:\left(K_{t}+K_{r}\right)\) for the sphere is

1 \(10: 7\)
2 \(2: 5\)
3 \(5: 7\)
4 \(7: 10\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366029 A disc of radius \(2\;m\) and mass \(100\;kg\) rolls on a horizontal floor. Its centre of mass has speed of \(20\;cm/s\). How much work is needed to stop it?

1 \(3\;J\)
2 \(30\;kJ\)
3 \(2\;J\)
4 \(1\;J\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366030 A disc of radius \(R\) and mass \(M\) is rolling horizontally without slipping with speed \(v\). It then moves up an inclined smooth surface as shown in figure. The maximum height that the disc can go up the incline is
supporting img

1 \(\dfrac{3}{4} \dfrac{v^{2}}{g}\)
2 \(\dfrac{v^{2}}{g}\)
3 \(\dfrac{2}{3} \dfrac{v^{2}}{g}\)
4 \(\dfrac{1}{2} \dfrac{v^{2}}{g}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366031 Assertion :
The total kinetic energy of a rolling solid sphere is the sum of translational and rotational kinetic energies.
Reason :
For all solid bodies total kinetic energy is always twice translational kinetic energy.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.