01. Angular Displacement, Velocity and Acceleration
Rotational Motion

149806 How many revolutions does a wheel with angular speed 88rads \({ }^{-1}\) make in one second?

1 7
2 14
3 28
4 44
Rotational Motion

149807 A solid sphere rolls purely on a rough inclined plane upwards with initial velocity \(2.8 \mathrm{~m} / \mathrm{s}\). Find the maximum distance travelled on the inclined plane.

1 \(1.097 \mathrm{~m}\)
2 \(5.48 \mathrm{~m}\)
3 \(2.083 \mathrm{~m}\)
4 \(3.2 \mathrm{~m}\)
Rotational Motion

149808 An object tied to a rope of length \(\mathrm{I}=2 \sqrt{2} \mathrm{~m}\) is allowed to make rotational motion. During rotation it makes an angle \(\theta=45^{\circ}\) with the vertical axis shown in figure. The tangential velocity of the obiect is (Assume \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(3 / \sqrt{5} \mathrm{~m} / \mathrm{s}\)
2 \(\sqrt{5} \mathrm{~m} / \mathrm{s}\)
3 \(2 \sqrt{5} \mathrm{~m} / \mathrm{s}\)
4 \(1 / \sqrt{5} \mathrm{~m} / \mathrm{s}\)
Rotational Motion

149809 In rotatory motion, linear velocities of all the particles of the body are

1 Same
2 Different
3 Zero
4 Cannot say
Rotational Motion

149810 A disc of radius \(5 \mathrm{~m}\) is rotating with angular frequency \(10 \mathrm{rad} / \mathrm{sec}\). A block of mass \(2 \mathrm{~kg}\) is to be put on the disc (friction coefficient between disc and block is \(\mu=0.4\) ), then find the maximum distance from axis where the block can be placed without sliding.

1 \(2 \mathrm{~cm}\)
2 \(3 \mathrm{~cm}\)
3 \(4 \mathrm{~cm}\)
4 \(6 \mathrm{~cm}\)
Rotational Motion

149806 How many revolutions does a wheel with angular speed 88rads \({ }^{-1}\) make in one second?

1 7
2 14
3 28
4 44
Rotational Motion

149807 A solid sphere rolls purely on a rough inclined plane upwards with initial velocity \(2.8 \mathrm{~m} / \mathrm{s}\). Find the maximum distance travelled on the inclined plane.

1 \(1.097 \mathrm{~m}\)
2 \(5.48 \mathrm{~m}\)
3 \(2.083 \mathrm{~m}\)
4 \(3.2 \mathrm{~m}\)
Rotational Motion

149808 An object tied to a rope of length \(\mathrm{I}=2 \sqrt{2} \mathrm{~m}\) is allowed to make rotational motion. During rotation it makes an angle \(\theta=45^{\circ}\) with the vertical axis shown in figure. The tangential velocity of the obiect is (Assume \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(3 / \sqrt{5} \mathrm{~m} / \mathrm{s}\)
2 \(\sqrt{5} \mathrm{~m} / \mathrm{s}\)
3 \(2 \sqrt{5} \mathrm{~m} / \mathrm{s}\)
4 \(1 / \sqrt{5} \mathrm{~m} / \mathrm{s}\)
Rotational Motion

149809 In rotatory motion, linear velocities of all the particles of the body are

1 Same
2 Different
3 Zero
4 Cannot say
Rotational Motion

149810 A disc of radius \(5 \mathrm{~m}\) is rotating with angular frequency \(10 \mathrm{rad} / \mathrm{sec}\). A block of mass \(2 \mathrm{~kg}\) is to be put on the disc (friction coefficient between disc and block is \(\mu=0.4\) ), then find the maximum distance from axis where the block can be placed without sliding.

1 \(2 \mathrm{~cm}\)
2 \(3 \mathrm{~cm}\)
3 \(4 \mathrm{~cm}\)
4 \(6 \mathrm{~cm}\)
Rotational Motion

149806 How many revolutions does a wheel with angular speed 88rads \({ }^{-1}\) make in one second?

1 7
2 14
3 28
4 44
Rotational Motion

149807 A solid sphere rolls purely on a rough inclined plane upwards with initial velocity \(2.8 \mathrm{~m} / \mathrm{s}\). Find the maximum distance travelled on the inclined plane.

1 \(1.097 \mathrm{~m}\)
2 \(5.48 \mathrm{~m}\)
3 \(2.083 \mathrm{~m}\)
4 \(3.2 \mathrm{~m}\)
Rotational Motion

149808 An object tied to a rope of length \(\mathrm{I}=2 \sqrt{2} \mathrm{~m}\) is allowed to make rotational motion. During rotation it makes an angle \(\theta=45^{\circ}\) with the vertical axis shown in figure. The tangential velocity of the obiect is (Assume \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(3 / \sqrt{5} \mathrm{~m} / \mathrm{s}\)
2 \(\sqrt{5} \mathrm{~m} / \mathrm{s}\)
3 \(2 \sqrt{5} \mathrm{~m} / \mathrm{s}\)
4 \(1 / \sqrt{5} \mathrm{~m} / \mathrm{s}\)
Rotational Motion

149809 In rotatory motion, linear velocities of all the particles of the body are

1 Same
2 Different
3 Zero
4 Cannot say
Rotational Motion

149810 A disc of radius \(5 \mathrm{~m}\) is rotating with angular frequency \(10 \mathrm{rad} / \mathrm{sec}\). A block of mass \(2 \mathrm{~kg}\) is to be put on the disc (friction coefficient between disc and block is \(\mu=0.4\) ), then find the maximum distance from axis where the block can be placed without sliding.

1 \(2 \mathrm{~cm}\)
2 \(3 \mathrm{~cm}\)
3 \(4 \mathrm{~cm}\)
4 \(6 \mathrm{~cm}\)
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Rotational Motion

149806 How many revolutions does a wheel with angular speed 88rads \({ }^{-1}\) make in one second?

1 7
2 14
3 28
4 44
Rotational Motion

149807 A solid sphere rolls purely on a rough inclined plane upwards with initial velocity \(2.8 \mathrm{~m} / \mathrm{s}\). Find the maximum distance travelled on the inclined plane.

1 \(1.097 \mathrm{~m}\)
2 \(5.48 \mathrm{~m}\)
3 \(2.083 \mathrm{~m}\)
4 \(3.2 \mathrm{~m}\)
Rotational Motion

149808 An object tied to a rope of length \(\mathrm{I}=2 \sqrt{2} \mathrm{~m}\) is allowed to make rotational motion. During rotation it makes an angle \(\theta=45^{\circ}\) with the vertical axis shown in figure. The tangential velocity of the obiect is (Assume \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(3 / \sqrt{5} \mathrm{~m} / \mathrm{s}\)
2 \(\sqrt{5} \mathrm{~m} / \mathrm{s}\)
3 \(2 \sqrt{5} \mathrm{~m} / \mathrm{s}\)
4 \(1 / \sqrt{5} \mathrm{~m} / \mathrm{s}\)
Rotational Motion

149809 In rotatory motion, linear velocities of all the particles of the body are

1 Same
2 Different
3 Zero
4 Cannot say
Rotational Motion

149810 A disc of radius \(5 \mathrm{~m}\) is rotating with angular frequency \(10 \mathrm{rad} / \mathrm{sec}\). A block of mass \(2 \mathrm{~kg}\) is to be put on the disc (friction coefficient between disc and block is \(\mu=0.4\) ), then find the maximum distance from axis where the block can be placed without sliding.

1 \(2 \mathrm{~cm}\)
2 \(3 \mathrm{~cm}\)
3 \(4 \mathrm{~cm}\)
4 \(6 \mathrm{~cm}\)
Rotational Motion

149806 How many revolutions does a wheel with angular speed 88rads \({ }^{-1}\) make in one second?

1 7
2 14
3 28
4 44
Rotational Motion

149807 A solid sphere rolls purely on a rough inclined plane upwards with initial velocity \(2.8 \mathrm{~m} / \mathrm{s}\). Find the maximum distance travelled on the inclined plane.

1 \(1.097 \mathrm{~m}\)
2 \(5.48 \mathrm{~m}\)
3 \(2.083 \mathrm{~m}\)
4 \(3.2 \mathrm{~m}\)
Rotational Motion

149808 An object tied to a rope of length \(\mathrm{I}=2 \sqrt{2} \mathrm{~m}\) is allowed to make rotational motion. During rotation it makes an angle \(\theta=45^{\circ}\) with the vertical axis shown in figure. The tangential velocity of the obiect is (Assume \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(3 / \sqrt{5} \mathrm{~m} / \mathrm{s}\)
2 \(\sqrt{5} \mathrm{~m} / \mathrm{s}\)
3 \(2 \sqrt{5} \mathrm{~m} / \mathrm{s}\)
4 \(1 / \sqrt{5} \mathrm{~m} / \mathrm{s}\)
Rotational Motion

149809 In rotatory motion, linear velocities of all the particles of the body are

1 Same
2 Different
3 Zero
4 Cannot say
Rotational Motion

149810 A disc of radius \(5 \mathrm{~m}\) is rotating with angular frequency \(10 \mathrm{rad} / \mathrm{sec}\). A block of mass \(2 \mathrm{~kg}\) is to be put on the disc (friction coefficient between disc and block is \(\mu=0.4\) ), then find the maximum distance from axis where the block can be placed without sliding.

1 \(2 \mathrm{~cm}\)
2 \(3 \mathrm{~cm}\)
3 \(4 \mathrm{~cm}\)
4 \(6 \mathrm{~cm}\)