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

366015 A ring A is initially rolling without sliding with a velocity \(v\) on the horizontal surface of the body B (of same mass as A). All surfaces are smooth. \(B\) has no initial velocity. What will be the maximum height reached by A on \(\mathrm{B}\) ?
supporting img

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

366016 The speed of a homogeneous solid sphere after rolling down an inclined plane of vertical height \(h\), from rest without sliding, is

1 \(\sqrt{\dfrac{4}{3} g h}\)
2 \(\sqrt{\dfrac{6}{5} g h}\)
3 \(\sqrt{g h}\)
4 \(\sqrt{\dfrac{10}{7} g h}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366017 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 of 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 Both Assertion and reason are incorrect.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366018 A solid sphere of mass \(1\,\;kg\), radius \(10\,\;cm\) rolls down an inclined plane of height \(7\;\,m\). The velocity of its centre as it reaches the ground level is

1 \(7\;m/s\)
2 \(10\;m/s\)
3 \(15\;m/s\)
4 \(20\;m/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366015 A ring A is initially rolling without sliding with a velocity \(v\) on the horizontal surface of the body B (of same mass as A). All surfaces are smooth. \(B\) has no initial velocity. What will be the maximum height reached by A on \(\mathrm{B}\) ?
supporting img

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

366016 The speed of a homogeneous solid sphere after rolling down an inclined plane of vertical height \(h\), from rest without sliding, is

1 \(\sqrt{\dfrac{4}{3} g h}\)
2 \(\sqrt{\dfrac{6}{5} g h}\)
3 \(\sqrt{g h}\)
4 \(\sqrt{\dfrac{10}{7} g h}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366017 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 of 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 Both Assertion and reason are incorrect.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366018 A solid sphere of mass \(1\,\;kg\), radius \(10\,\;cm\) rolls down an inclined plane of height \(7\;\,m\). The velocity of its centre as it reaches the ground level is

1 \(7\;m/s\)
2 \(10\;m/s\)
3 \(15\;m/s\)
4 \(20\;m/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366015 A ring A is initially rolling without sliding with a velocity \(v\) on the horizontal surface of the body B (of same mass as A). All surfaces are smooth. \(B\) has no initial velocity. What will be the maximum height reached by A on \(\mathrm{B}\) ?
supporting img

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

366016 The speed of a homogeneous solid sphere after rolling down an inclined plane of vertical height \(h\), from rest without sliding, is

1 \(\sqrt{\dfrac{4}{3} g h}\)
2 \(\sqrt{\dfrac{6}{5} g h}\)
3 \(\sqrt{g h}\)
4 \(\sqrt{\dfrac{10}{7} g h}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366017 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 of 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 Both Assertion and reason are incorrect.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366018 A solid sphere of mass \(1\,\;kg\), radius \(10\,\;cm\) rolls down an inclined plane of height \(7\;\,m\). The velocity of its centre as it reaches the ground level is

1 \(7\;m/s\)
2 \(10\;m/s\)
3 \(15\;m/s\)
4 \(20\;m/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366015 A ring A is initially rolling without sliding with a velocity \(v\) on the horizontal surface of the body B (of same mass as A). All surfaces are smooth. \(B\) has no initial velocity. What will be the maximum height reached by A on \(\mathrm{B}\) ?
supporting img

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

366016 The speed of a homogeneous solid sphere after rolling down an inclined plane of vertical height \(h\), from rest without sliding, is

1 \(\sqrt{\dfrac{4}{3} g h}\)
2 \(\sqrt{\dfrac{6}{5} g h}\)
3 \(\sqrt{g h}\)
4 \(\sqrt{\dfrac{10}{7} g h}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366017 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 of 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 Both Assertion and reason are incorrect.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366018 A solid sphere of mass \(1\,\;kg\), radius \(10\,\;cm\) rolls down an inclined plane of height \(7\;\,m\). The velocity of its centre as it reaches the ground level is

1 \(7\;m/s\)
2 \(10\;m/s\)
3 \(15\;m/s\)
4 \(20\;m/s\)