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

366032 A loop and a disc roll without slipping with same linear velocity \(v\). The mass of the loop and the disc is same. If the total kinetic energy of the loop is 8 \(J\) , find the kinetic energy of the disc

1 \(3\,J\)
2 \(6\,J\)
3 \(9\,J\)
4 \(1\,J\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366033 A body is rolling down an inclined plane. If \(K E\) of rotation is \(40 \%\) \(K.E.\) of in translatory state, then the body is a

1 ring
2 cylinder
3 hollow ball
4 solid ball
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366034 A ball rolls without slipping. The radius of gyration of the ball about an axis passing through its centre of mass is \(K\). If radius of the ball be \(R\), then the fraction of total enery associated with its rotational energy will be

1 \(\dfrac{K^{2}}{R^{2}}\)
2 \(\dfrac{K^{2}}{K^{2}+R^{2}}\)
3 \(\dfrac{R^{2}}{K^{2}+R^{2}}\)
4 \(\dfrac{K^{2}+R^{2}}{R^{2}}\)
MHTCET - 2021
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366035 A body is rolling without slipping on a horizontal surface and its rotational kinetic energy is equal to the translational kinetic energy. The body is

1 Sphere
2 Ring
3 Disc
4 Cylinder
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366036 A uniform disc of mass \(m\) is fitted (pivoted smoothly) with a rod of mass \(\dfrac{m}{2}\). If the bottom of the rod is pulled with a velocity \(v\) it moves without changing its angle of orientation and the disc rolls without sliding. The kinetic energy of the system(rod+disc) is
supporting img

1 \(\dfrac{m v^{2}}{4}\)
2 \(\dfrac{m v^{2}}{4}\)
3 \(\dfrac{15 m v^{2}}{16}\)
4 \(m v^{2}\)
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366032 A loop and a disc roll without slipping with same linear velocity \(v\). The mass of the loop and the disc is same. If the total kinetic energy of the loop is 8 \(J\) , find the kinetic energy of the disc

1 \(3\,J\)
2 \(6\,J\)
3 \(9\,J\)
4 \(1\,J\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366033 A body is rolling down an inclined plane. If \(K E\) of rotation is \(40 \%\) \(K.E.\) of in translatory state, then the body is a

1 ring
2 cylinder
3 hollow ball
4 solid ball
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366034 A ball rolls without slipping. The radius of gyration of the ball about an axis passing through its centre of mass is \(K\). If radius of the ball be \(R\), then the fraction of total enery associated with its rotational energy will be

1 \(\dfrac{K^{2}}{R^{2}}\)
2 \(\dfrac{K^{2}}{K^{2}+R^{2}}\)
3 \(\dfrac{R^{2}}{K^{2}+R^{2}}\)
4 \(\dfrac{K^{2}+R^{2}}{R^{2}}\)
MHTCET - 2021
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366035 A body is rolling without slipping on a horizontal surface and its rotational kinetic energy is equal to the translational kinetic energy. The body is

1 Sphere
2 Ring
3 Disc
4 Cylinder
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366036 A uniform disc of mass \(m\) is fitted (pivoted smoothly) with a rod of mass \(\dfrac{m}{2}\). If the bottom of the rod is pulled with a velocity \(v\) it moves without changing its angle of orientation and the disc rolls without sliding. The kinetic energy of the system(rod+disc) is
supporting img

1 \(\dfrac{m v^{2}}{4}\)
2 \(\dfrac{m v^{2}}{4}\)
3 \(\dfrac{15 m v^{2}}{16}\)
4 \(m v^{2}\)
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366032 A loop and a disc roll without slipping with same linear velocity \(v\). The mass of the loop and the disc is same. If the total kinetic energy of the loop is 8 \(J\) , find the kinetic energy of the disc

1 \(3\,J\)
2 \(6\,J\)
3 \(9\,J\)
4 \(1\,J\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366033 A body is rolling down an inclined plane. If \(K E\) of rotation is \(40 \%\) \(K.E.\) of in translatory state, then the body is a

1 ring
2 cylinder
3 hollow ball
4 solid ball
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366034 A ball rolls without slipping. The radius of gyration of the ball about an axis passing through its centre of mass is \(K\). If radius of the ball be \(R\), then the fraction of total enery associated with its rotational energy will be

1 \(\dfrac{K^{2}}{R^{2}}\)
2 \(\dfrac{K^{2}}{K^{2}+R^{2}}\)
3 \(\dfrac{R^{2}}{K^{2}+R^{2}}\)
4 \(\dfrac{K^{2}+R^{2}}{R^{2}}\)
MHTCET - 2021
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366035 A body is rolling without slipping on a horizontal surface and its rotational kinetic energy is equal to the translational kinetic energy. The body is

1 Sphere
2 Ring
3 Disc
4 Cylinder
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366036 A uniform disc of mass \(m\) is fitted (pivoted smoothly) with a rod of mass \(\dfrac{m}{2}\). If the bottom of the rod is pulled with a velocity \(v\) it moves without changing its angle of orientation and the disc rolls without sliding. The kinetic energy of the system(rod+disc) is
supporting img

1 \(\dfrac{m v^{2}}{4}\)
2 \(\dfrac{m v^{2}}{4}\)
3 \(\dfrac{15 m v^{2}}{16}\)
4 \(m v^{2}\)
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366032 A loop and a disc roll without slipping with same linear velocity \(v\). The mass of the loop and the disc is same. If the total kinetic energy of the loop is 8 \(J\) , find the kinetic energy of the disc

1 \(3\,J\)
2 \(6\,J\)
3 \(9\,J\)
4 \(1\,J\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366033 A body is rolling down an inclined plane. If \(K E\) of rotation is \(40 \%\) \(K.E.\) of in translatory state, then the body is a

1 ring
2 cylinder
3 hollow ball
4 solid ball
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366034 A ball rolls without slipping. The radius of gyration of the ball about an axis passing through its centre of mass is \(K\). If radius of the ball be \(R\), then the fraction of total enery associated with its rotational energy will be

1 \(\dfrac{K^{2}}{R^{2}}\)
2 \(\dfrac{K^{2}}{K^{2}+R^{2}}\)
3 \(\dfrac{R^{2}}{K^{2}+R^{2}}\)
4 \(\dfrac{K^{2}+R^{2}}{R^{2}}\)
MHTCET - 2021
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366035 A body is rolling without slipping on a horizontal surface and its rotational kinetic energy is equal to the translational kinetic energy. The body is

1 Sphere
2 Ring
3 Disc
4 Cylinder
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366036 A uniform disc of mass \(m\) is fitted (pivoted smoothly) with a rod of mass \(\dfrac{m}{2}\). If the bottom of the rod is pulled with a velocity \(v\) it moves without changing its angle of orientation and the disc rolls without sliding. The kinetic energy of the system(rod+disc) is
supporting img

1 \(\dfrac{m v^{2}}{4}\)
2 \(\dfrac{m v^{2}}{4}\)
3 \(\dfrac{15 m v^{2}}{16}\)
4 \(m v^{2}\)
Join With Us for More Updates
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366032 A loop and a disc roll without slipping with same linear velocity \(v\). The mass of the loop and the disc is same. If the total kinetic energy of the loop is 8 \(J\) , find the kinetic energy of the disc

1 \(3\,J\)
2 \(6\,J\)
3 \(9\,J\)
4 \(1\,J\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366033 A body is rolling down an inclined plane. If \(K E\) of rotation is \(40 \%\) \(K.E.\) of in translatory state, then the body is a

1 ring
2 cylinder
3 hollow ball
4 solid ball
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366034 A ball rolls without slipping. The radius of gyration of the ball about an axis passing through its centre of mass is \(K\). If radius of the ball be \(R\), then the fraction of total enery associated with its rotational energy will be

1 \(\dfrac{K^{2}}{R^{2}}\)
2 \(\dfrac{K^{2}}{K^{2}+R^{2}}\)
3 \(\dfrac{R^{2}}{K^{2}+R^{2}}\)
4 \(\dfrac{K^{2}+R^{2}}{R^{2}}\)
MHTCET - 2021
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366035 A body is rolling without slipping on a horizontal surface and its rotational kinetic energy is equal to the translational kinetic energy. The body is

1 Sphere
2 Ring
3 Disc
4 Cylinder
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366036 A uniform disc of mass \(m\) is fitted (pivoted smoothly) with a rod of mass \(\dfrac{m}{2}\). If the bottom of the rod is pulled with a velocity \(v\) it moves without changing its angle of orientation and the disc rolls without sliding. The kinetic energy of the system(rod+disc) is
supporting img

1 \(\dfrac{m v^{2}}{4}\)
2 \(\dfrac{m v^{2}}{4}\)
3 \(\dfrac{15 m v^{2}}{16}\)
4 \(m v^{2}\)