06. Rolling Motion
Rotational Motion

150455 Two solid cylinders \(A\) and \(B\) of the same mass and same radius start rolling down a fixed inclined plane from the same height at the same time. Cylinder \(A\) has most of its mass concentrated near the surface, while \(B\) has most of its mass concentrated near the axis.
Which statement is correct?

1 Both cylinders A and B reach the ground at the same time
2 Cylinder A has larger linear acceleration than cylinder B
3 Both cylinders A and B reach the ground with the same translational kinetic energy
4 Cylinder B reaches the ground with larger angular speed
Rotational Motion

150456 A cylinder rolls up an inclined plane at an angle of \(30^{\circ}\). At the bottom of the inclined plane, the centre of mass of the cylinder has speed of \(5 \mathrm{~m} / \mathrm{s}\). How long will take to return to the bottom?

1 \(2 \mathrm{~s}\)
2 \(3 \mathrm{~s}\)
3 \(1.5 \mathrm{~s}\)
4 \(4 \mathrm{~s}\)
Rotational Motion

150457 A sphere rolls down and inclined plane without slipping. What fraction of its total energy is rotational?

1 \(\frac{2}{7}\)
2 \(\frac{3}{7}\)
3 \(\frac{4}{7}\)
4 \(\frac{5}{7}\)
Rotational Motion

150458 If a uniform solid sphere and a disc of same mass and same radius rolls down on an inclined smooth plane from rest to the same distance, then the ratio of the time taken by them will be-

1 \(15: 14\)
2 \(\sqrt{14}: \sqrt{15}\)
3 \(14: 15\)
4 \(\sqrt{15}: \sqrt{14}\)
Rotational Motion

150455 Two solid cylinders \(A\) and \(B\) of the same mass and same radius start rolling down a fixed inclined plane from the same height at the same time. Cylinder \(A\) has most of its mass concentrated near the surface, while \(B\) has most of its mass concentrated near the axis.
Which statement is correct?

1 Both cylinders A and B reach the ground at the same time
2 Cylinder A has larger linear acceleration than cylinder B
3 Both cylinders A and B reach the ground with the same translational kinetic energy
4 Cylinder B reaches the ground with larger angular speed
Rotational Motion

150456 A cylinder rolls up an inclined plane at an angle of \(30^{\circ}\). At the bottom of the inclined plane, the centre of mass of the cylinder has speed of \(5 \mathrm{~m} / \mathrm{s}\). How long will take to return to the bottom?

1 \(2 \mathrm{~s}\)
2 \(3 \mathrm{~s}\)
3 \(1.5 \mathrm{~s}\)
4 \(4 \mathrm{~s}\)
Rotational Motion

150457 A sphere rolls down and inclined plane without slipping. What fraction of its total energy is rotational?

1 \(\frac{2}{7}\)
2 \(\frac{3}{7}\)
3 \(\frac{4}{7}\)
4 \(\frac{5}{7}\)
Rotational Motion

150458 If a uniform solid sphere and a disc of same mass and same radius rolls down on an inclined smooth plane from rest to the same distance, then the ratio of the time taken by them will be-

1 \(15: 14\)
2 \(\sqrt{14}: \sqrt{15}\)
3 \(14: 15\)
4 \(\sqrt{15}: \sqrt{14}\)
Rotational Motion

150455 Two solid cylinders \(A\) and \(B\) of the same mass and same radius start rolling down a fixed inclined plane from the same height at the same time. Cylinder \(A\) has most of its mass concentrated near the surface, while \(B\) has most of its mass concentrated near the axis.
Which statement is correct?

1 Both cylinders A and B reach the ground at the same time
2 Cylinder A has larger linear acceleration than cylinder B
3 Both cylinders A and B reach the ground with the same translational kinetic energy
4 Cylinder B reaches the ground with larger angular speed
Rotational Motion

150456 A cylinder rolls up an inclined plane at an angle of \(30^{\circ}\). At the bottom of the inclined plane, the centre of mass of the cylinder has speed of \(5 \mathrm{~m} / \mathrm{s}\). How long will take to return to the bottom?

1 \(2 \mathrm{~s}\)
2 \(3 \mathrm{~s}\)
3 \(1.5 \mathrm{~s}\)
4 \(4 \mathrm{~s}\)
Rotational Motion

150457 A sphere rolls down and inclined plane without slipping. What fraction of its total energy is rotational?

1 \(\frac{2}{7}\)
2 \(\frac{3}{7}\)
3 \(\frac{4}{7}\)
4 \(\frac{5}{7}\)
Rotational Motion

150458 If a uniform solid sphere and a disc of same mass and same radius rolls down on an inclined smooth plane from rest to the same distance, then the ratio of the time taken by them will be-

1 \(15: 14\)
2 \(\sqrt{14}: \sqrt{15}\)
3 \(14: 15\)
4 \(\sqrt{15}: \sqrt{14}\)
Rotational Motion

150455 Two solid cylinders \(A\) and \(B\) of the same mass and same radius start rolling down a fixed inclined plane from the same height at the same time. Cylinder \(A\) has most of its mass concentrated near the surface, while \(B\) has most of its mass concentrated near the axis.
Which statement is correct?

1 Both cylinders A and B reach the ground at the same time
2 Cylinder A has larger linear acceleration than cylinder B
3 Both cylinders A and B reach the ground with the same translational kinetic energy
4 Cylinder B reaches the ground with larger angular speed
Rotational Motion

150456 A cylinder rolls up an inclined plane at an angle of \(30^{\circ}\). At the bottom of the inclined plane, the centre of mass of the cylinder has speed of \(5 \mathrm{~m} / \mathrm{s}\). How long will take to return to the bottom?

1 \(2 \mathrm{~s}\)
2 \(3 \mathrm{~s}\)
3 \(1.5 \mathrm{~s}\)
4 \(4 \mathrm{~s}\)
Rotational Motion

150457 A sphere rolls down and inclined plane without slipping. What fraction of its total energy is rotational?

1 \(\frac{2}{7}\)
2 \(\frac{3}{7}\)
3 \(\frac{4}{7}\)
4 \(\frac{5}{7}\)
Rotational Motion

150458 If a uniform solid sphere and a disc of same mass and same radius rolls down on an inclined smooth plane from rest to the same distance, then the ratio of the time taken by them will be-

1 \(15: 14\)
2 \(\sqrt{14}: \sqrt{15}\)
3 \(14: 15\)
4 \(\sqrt{15}: \sqrt{14}\)
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