ROLLING MOTION \&ROTATIONAL KINETIC ENERGY
Rotational Motion

269358 A sphere cannot roll on

1 a smooth horizontal surface
2 a smooth inclined surface
3 a rough horizontal surface
4 a rough inclined surface.
Rotational Motion

269341 Solid sphere, hollow sphere, solid cylinder and hollow cylinder of same mass and same radii are simultaneously start rolling down from the top of an inclined plane. The body that takes longest time to reach the bottom is

1 solid sphere
2 hollow sphere
3 solid cylinder
4 hollow cylinder
Rotational Motion

269342 Solid sphere, solid cylinder, hollow sphere, hollow cylinder of same mass and same radii are rolling down freely on an inclined plane. The body with maximum acceleration is

1 solid sphere
2 solid cylinder
3 hollow sphere
4 hollow cylinder
Rotational Motion

269343 In the case of following rolling body translatory and rotational kinetic energies are equal for

1 circular ring
2 circular plate
3 solid sphere
4 solid cylinder
Rotational Motion

269344 A disc is rolling (without slipping) on a friction lesssurface . \(C\) is its centre and \(Q\) and \(P\) are two points equidistant from \(C\). Let \(V_{p}, V_{Q}\) and \(V_{c}\) be the magnitudes of velocities of points \(P, Q\) and \(C\) respectively, then [IIT-2004]

1 \(V_{Q}\lt V_{C}\lt V_{P}\)
2 \(V_{Q}
3 \(V_{Q}=V_{P}, V_{C}=\frac{1}{2} V_{P}\)
4 \(V_{Q}
Rotational Motion

269358 A sphere cannot roll on

1 a smooth horizontal surface
2 a smooth inclined surface
3 a rough horizontal surface
4 a rough inclined surface.
Rotational Motion

269341 Solid sphere, hollow sphere, solid cylinder and hollow cylinder of same mass and same radii are simultaneously start rolling down from the top of an inclined plane. The body that takes longest time to reach the bottom is

1 solid sphere
2 hollow sphere
3 solid cylinder
4 hollow cylinder
Rotational Motion

269342 Solid sphere, solid cylinder, hollow sphere, hollow cylinder of same mass and same radii are rolling down freely on an inclined plane. The body with maximum acceleration is

1 solid sphere
2 solid cylinder
3 hollow sphere
4 hollow cylinder
Rotational Motion

269343 In the case of following rolling body translatory and rotational kinetic energies are equal for

1 circular ring
2 circular plate
3 solid sphere
4 solid cylinder
Rotational Motion

269344 A disc is rolling (without slipping) on a friction lesssurface . \(C\) is its centre and \(Q\) and \(P\) are two points equidistant from \(C\). Let \(V_{p}, V_{Q}\) and \(V_{c}\) be the magnitudes of velocities of points \(P, Q\) and \(C\) respectively, then [IIT-2004]

1 \(V_{Q}\lt V_{C}\lt V_{P}\)
2 \(V_{Q}
3 \(V_{Q}=V_{P}, V_{C}=\frac{1}{2} V_{P}\)
4 \(V_{Q}
Rotational Motion

269358 A sphere cannot roll on

1 a smooth horizontal surface
2 a smooth inclined surface
3 a rough horizontal surface
4 a rough inclined surface.
Rotational Motion

269341 Solid sphere, hollow sphere, solid cylinder and hollow cylinder of same mass and same radii are simultaneously start rolling down from the top of an inclined plane. The body that takes longest time to reach the bottom is

1 solid sphere
2 hollow sphere
3 solid cylinder
4 hollow cylinder
Rotational Motion

269342 Solid sphere, solid cylinder, hollow sphere, hollow cylinder of same mass and same radii are rolling down freely on an inclined plane. The body with maximum acceleration is

1 solid sphere
2 solid cylinder
3 hollow sphere
4 hollow cylinder
Rotational Motion

269343 In the case of following rolling body translatory and rotational kinetic energies are equal for

1 circular ring
2 circular plate
3 solid sphere
4 solid cylinder
Rotational Motion

269344 A disc is rolling (without slipping) on a friction lesssurface . \(C\) is its centre and \(Q\) and \(P\) are two points equidistant from \(C\). Let \(V_{p}, V_{Q}\) and \(V_{c}\) be the magnitudes of velocities of points \(P, Q\) and \(C\) respectively, then [IIT-2004]

1 \(V_{Q}\lt V_{C}\lt V_{P}\)
2 \(V_{Q}
3 \(V_{Q}=V_{P}, V_{C}=\frac{1}{2} V_{P}\)
4 \(V_{Q}
Rotational Motion

269358 A sphere cannot roll on

1 a smooth horizontal surface
2 a smooth inclined surface
3 a rough horizontal surface
4 a rough inclined surface.
Rotational Motion

269341 Solid sphere, hollow sphere, solid cylinder and hollow cylinder of same mass and same radii are simultaneously start rolling down from the top of an inclined plane. The body that takes longest time to reach the bottom is

1 solid sphere
2 hollow sphere
3 solid cylinder
4 hollow cylinder
Rotational Motion

269342 Solid sphere, solid cylinder, hollow sphere, hollow cylinder of same mass and same radii are rolling down freely on an inclined plane. The body with maximum acceleration is

1 solid sphere
2 solid cylinder
3 hollow sphere
4 hollow cylinder
Rotational Motion

269343 In the case of following rolling body translatory and rotational kinetic energies are equal for

1 circular ring
2 circular plate
3 solid sphere
4 solid cylinder
Rotational Motion

269344 A disc is rolling (without slipping) on a friction lesssurface . \(C\) is its centre and \(Q\) and \(P\) are two points equidistant from \(C\). Let \(V_{p}, V_{Q}\) and \(V_{c}\) be the magnitudes of velocities of points \(P, Q\) and \(C\) respectively, then [IIT-2004]

1 \(V_{Q}\lt V_{C}\lt V_{P}\)
2 \(V_{Q}
3 \(V_{Q}=V_{P}, V_{C}=\frac{1}{2} V_{P}\)
4 \(V_{Q}
Rotational Motion

269358 A sphere cannot roll on

1 a smooth horizontal surface
2 a smooth inclined surface
3 a rough horizontal surface
4 a rough inclined surface.
Rotational Motion

269341 Solid sphere, hollow sphere, solid cylinder and hollow cylinder of same mass and same radii are simultaneously start rolling down from the top of an inclined plane. The body that takes longest time to reach the bottom is

1 solid sphere
2 hollow sphere
3 solid cylinder
4 hollow cylinder
Rotational Motion

269342 Solid sphere, solid cylinder, hollow sphere, hollow cylinder of same mass and same radii are rolling down freely on an inclined plane. The body with maximum acceleration is

1 solid sphere
2 solid cylinder
3 hollow sphere
4 hollow cylinder
Rotational Motion

269343 In the case of following rolling body translatory and rotational kinetic energies are equal for

1 circular ring
2 circular plate
3 solid sphere
4 solid cylinder
Rotational Motion

269344 A disc is rolling (without slipping) on a friction lesssurface . \(C\) is its centre and \(Q\) and \(P\) are two points equidistant from \(C\). Let \(V_{p}, V_{Q}\) and \(V_{c}\) be the magnitudes of velocities of points \(P, Q\) and \(C\) respectively, then [IIT-2004]

1 \(V_{Q}\lt V_{C}\lt V_{P}\)
2 \(V_{Q}
3 \(V_{Q}=V_{P}, V_{C}=\frac{1}{2} V_{P}\)
4 \(V_{Q}