01. Angular Displacement, Velocity and Acceleration
Rotational Motion

149817 A bead is tied on one end of a stiff rope of length \(1 \mathrm{~m}\). With the other end of the rope as the centre, the rope is rotated in such a way that the bead completes 10 revolutions per second. The centripetal acceleration of the bead is

1 \(400 \pi^{2} \mathrm{~m} / \mathrm{s}^{2}\)
2 \(200 \pi^{2} \mathrm{~m} / \mathrm{s}^{2}\)
3 \(400 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(200 \mathrm{~m} / \mathrm{s}^{2}\)
5 \(100 \mathrm{~m} / \mathrm{s}^{2}\)
Rotational Motion

149818 A body is moving with a constant speed ' \(v\) ' in a circle of radius \(r\). Its angular acceleration is

1 \(\mathrm{vr}\)
2 zero
3 \(v / r\)
4 \(v / r^{2}\)
Rotational Motion

149819 Find ratio of acceleration and angular acceleration of centre of mass of disc if for the given diagram \(m=2 \mathrm{~kg}\) and \(r=10 \mathrm{~cm}\)
original image

1 \(\frac{1}{5}\)
2 \(\frac{1}{10}\)
3 \(\frac{1}{15}\)
4 \(\frac{1}{20}\)
Rotational Motion

149820 A ball of mass \(160 \mathrm{~g}\) is thrown up at a angle of \(60^{\circ}\) to the horizontal at a speed of \(10 \mathrm{~ms}^{-1}\). The angular momentum of the ball at the highest point of the trajectory with respect to the point from which the ball is thrown is nearly \((\mathrm{g}=10\) \(\mathbf{m s}^{-2}\) )

1 \(1.73 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
2 \(3.0 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
3 \(3.46 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
4 \(6.0 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
Rotational Motion

149817 A bead is tied on one end of a stiff rope of length \(1 \mathrm{~m}\). With the other end of the rope as the centre, the rope is rotated in such a way that the bead completes 10 revolutions per second. The centripetal acceleration of the bead is

1 \(400 \pi^{2} \mathrm{~m} / \mathrm{s}^{2}\)
2 \(200 \pi^{2} \mathrm{~m} / \mathrm{s}^{2}\)
3 \(400 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(200 \mathrm{~m} / \mathrm{s}^{2}\)
5 \(100 \mathrm{~m} / \mathrm{s}^{2}\)
Rotational Motion

149818 A body is moving with a constant speed ' \(v\) ' in a circle of radius \(r\). Its angular acceleration is

1 \(\mathrm{vr}\)
2 zero
3 \(v / r\)
4 \(v / r^{2}\)
Rotational Motion

149819 Find ratio of acceleration and angular acceleration of centre of mass of disc if for the given diagram \(m=2 \mathrm{~kg}\) and \(r=10 \mathrm{~cm}\)
original image

1 \(\frac{1}{5}\)
2 \(\frac{1}{10}\)
3 \(\frac{1}{15}\)
4 \(\frac{1}{20}\)
Rotational Motion

149820 A ball of mass \(160 \mathrm{~g}\) is thrown up at a angle of \(60^{\circ}\) to the horizontal at a speed of \(10 \mathrm{~ms}^{-1}\). The angular momentum of the ball at the highest point of the trajectory with respect to the point from which the ball is thrown is nearly \((\mathrm{g}=10\) \(\mathbf{m s}^{-2}\) )

1 \(1.73 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
2 \(3.0 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
3 \(3.46 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
4 \(6.0 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
Rotational Motion

149817 A bead is tied on one end of a stiff rope of length \(1 \mathrm{~m}\). With the other end of the rope as the centre, the rope is rotated in such a way that the bead completes 10 revolutions per second. The centripetal acceleration of the bead is

1 \(400 \pi^{2} \mathrm{~m} / \mathrm{s}^{2}\)
2 \(200 \pi^{2} \mathrm{~m} / \mathrm{s}^{2}\)
3 \(400 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(200 \mathrm{~m} / \mathrm{s}^{2}\)
5 \(100 \mathrm{~m} / \mathrm{s}^{2}\)
Rotational Motion

149818 A body is moving with a constant speed ' \(v\) ' in a circle of radius \(r\). Its angular acceleration is

1 \(\mathrm{vr}\)
2 zero
3 \(v / r\)
4 \(v / r^{2}\)
Rotational Motion

149819 Find ratio of acceleration and angular acceleration of centre of mass of disc if for the given diagram \(m=2 \mathrm{~kg}\) and \(r=10 \mathrm{~cm}\)
original image

1 \(\frac{1}{5}\)
2 \(\frac{1}{10}\)
3 \(\frac{1}{15}\)
4 \(\frac{1}{20}\)
Rotational Motion

149820 A ball of mass \(160 \mathrm{~g}\) is thrown up at a angle of \(60^{\circ}\) to the horizontal at a speed of \(10 \mathrm{~ms}^{-1}\). The angular momentum of the ball at the highest point of the trajectory with respect to the point from which the ball is thrown is nearly \((\mathrm{g}=10\) \(\mathbf{m s}^{-2}\) )

1 \(1.73 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
2 \(3.0 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
3 \(3.46 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
4 \(6.0 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
Rotational Motion

149817 A bead is tied on one end of a stiff rope of length \(1 \mathrm{~m}\). With the other end of the rope as the centre, the rope is rotated in such a way that the bead completes 10 revolutions per second. The centripetal acceleration of the bead is

1 \(400 \pi^{2} \mathrm{~m} / \mathrm{s}^{2}\)
2 \(200 \pi^{2} \mathrm{~m} / \mathrm{s}^{2}\)
3 \(400 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(200 \mathrm{~m} / \mathrm{s}^{2}\)
5 \(100 \mathrm{~m} / \mathrm{s}^{2}\)
Rotational Motion

149818 A body is moving with a constant speed ' \(v\) ' in a circle of radius \(r\). Its angular acceleration is

1 \(\mathrm{vr}\)
2 zero
3 \(v / r\)
4 \(v / r^{2}\)
Rotational Motion

149819 Find ratio of acceleration and angular acceleration of centre of mass of disc if for the given diagram \(m=2 \mathrm{~kg}\) and \(r=10 \mathrm{~cm}\)
original image

1 \(\frac{1}{5}\)
2 \(\frac{1}{10}\)
3 \(\frac{1}{15}\)
4 \(\frac{1}{20}\)
Rotational Motion

149820 A ball of mass \(160 \mathrm{~g}\) is thrown up at a angle of \(60^{\circ}\) to the horizontal at a speed of \(10 \mathrm{~ms}^{-1}\). The angular momentum of the ball at the highest point of the trajectory with respect to the point from which the ball is thrown is nearly \((\mathrm{g}=10\) \(\mathbf{m s}^{-2}\) )

1 \(1.73 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
2 \(3.0 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
3 \(3.46 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
4 \(6.0 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)