Angular Impulse
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365621 A thin uniform rod of mass \(m\) and length \(l\) is kept on a smooth horizontal surface such that it can move freely. At what distance from centre of rod should a particle of mass \(m\) strike on the rod such that the point \(\mathrm{P}\) at a distance \(l /\) 3 from the end of the rod is instantaneously at rest just after the elastic collision?
supporting img

1 \(\dfrac{l}{2}\)
2 \(\dfrac{l}{4}\)
3 \(\dfrac{l}{3}\)
4 \(\dfrac{l}{6}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365622 A solid sphere of mass \(M\) and radius \(R\) is placed on a rough horizontal surface. It is struck by a horizontal cue stick at a height \(h\) above the surface. The value of \(h\) so that the sphere performs pure rolling motion immediately after it has been struck is
supporting img

1 \(\dfrac{7 R}{5}\)
2 \(\dfrac{2 R}{5}\)
3 \(\dfrac{9 R}{5}\)
4 \(\dfrac{5 R}{5}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365623 A uniform solid sphere of radius \(r\) is rolling on a smooth horizontal surface with velocity \(v\) and angular velocity \(\omega(v=\omega r)\). The sphere collides with the wall as shown in the figure. The coefficient of friction between the sphere and the edge \(\mu=1 / 5\). Just after the collision the angular velocity of the sphere becomes zero. The linear velocity of the sphere just after the collision is equal to
supporting img

1 \(\dfrac{v}{6}\)
2 \(\dfrac{v}{5}\)
3 \(v\)
4 \(\dfrac{3 v}{5}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365624 Consider a body, shown in the figure, consisting of two identical balls, each of mass \(M\) connected by a light rigid rod. If an impulse \(J = Mv\) is imparted to the body at one of its ends, what would be its angular velocity?
supporting img

1 \(v/L\)
2 \(2v/L\)
3 \(v/3\;L\)
4 \(v/4\;L\)
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365621 A thin uniform rod of mass \(m\) and length \(l\) is kept on a smooth horizontal surface such that it can move freely. At what distance from centre of rod should a particle of mass \(m\) strike on the rod such that the point \(\mathrm{P}\) at a distance \(l /\) 3 from the end of the rod is instantaneously at rest just after the elastic collision?
supporting img

1 \(\dfrac{l}{2}\)
2 \(\dfrac{l}{4}\)
3 \(\dfrac{l}{3}\)
4 \(\dfrac{l}{6}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365622 A solid sphere of mass \(M\) and radius \(R\) is placed on a rough horizontal surface. It is struck by a horizontal cue stick at a height \(h\) above the surface. The value of \(h\) so that the sphere performs pure rolling motion immediately after it has been struck is
supporting img

1 \(\dfrac{7 R}{5}\)
2 \(\dfrac{2 R}{5}\)
3 \(\dfrac{9 R}{5}\)
4 \(\dfrac{5 R}{5}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365623 A uniform solid sphere of radius \(r\) is rolling on a smooth horizontal surface with velocity \(v\) and angular velocity \(\omega(v=\omega r)\). The sphere collides with the wall as shown in the figure. The coefficient of friction between the sphere and the edge \(\mu=1 / 5\). Just after the collision the angular velocity of the sphere becomes zero. The linear velocity of the sphere just after the collision is equal to
supporting img

1 \(\dfrac{v}{6}\)
2 \(\dfrac{v}{5}\)
3 \(v\)
4 \(\dfrac{3 v}{5}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365624 Consider a body, shown in the figure, consisting of two identical balls, each of mass \(M\) connected by a light rigid rod. If an impulse \(J = Mv\) is imparted to the body at one of its ends, what would be its angular velocity?
supporting img

1 \(v/L\)
2 \(2v/L\)
3 \(v/3\;L\)
4 \(v/4\;L\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365621 A thin uniform rod of mass \(m\) and length \(l\) is kept on a smooth horizontal surface such that it can move freely. At what distance from centre of rod should a particle of mass \(m\) strike on the rod such that the point \(\mathrm{P}\) at a distance \(l /\) 3 from the end of the rod is instantaneously at rest just after the elastic collision?
supporting img

1 \(\dfrac{l}{2}\)
2 \(\dfrac{l}{4}\)
3 \(\dfrac{l}{3}\)
4 \(\dfrac{l}{6}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365622 A solid sphere of mass \(M\) and radius \(R\) is placed on a rough horizontal surface. It is struck by a horizontal cue stick at a height \(h\) above the surface. The value of \(h\) so that the sphere performs pure rolling motion immediately after it has been struck is
supporting img

1 \(\dfrac{7 R}{5}\)
2 \(\dfrac{2 R}{5}\)
3 \(\dfrac{9 R}{5}\)
4 \(\dfrac{5 R}{5}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365623 A uniform solid sphere of radius \(r\) is rolling on a smooth horizontal surface with velocity \(v\) and angular velocity \(\omega(v=\omega r)\). The sphere collides with the wall as shown in the figure. The coefficient of friction between the sphere and the edge \(\mu=1 / 5\). Just after the collision the angular velocity of the sphere becomes zero. The linear velocity of the sphere just after the collision is equal to
supporting img

1 \(\dfrac{v}{6}\)
2 \(\dfrac{v}{5}\)
3 \(v\)
4 \(\dfrac{3 v}{5}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365624 Consider a body, shown in the figure, consisting of two identical balls, each of mass \(M\) connected by a light rigid rod. If an impulse \(J = Mv\) is imparted to the body at one of its ends, what would be its angular velocity?
supporting img

1 \(v/L\)
2 \(2v/L\)
3 \(v/3\;L\)
4 \(v/4\;L\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365621 A thin uniform rod of mass \(m\) and length \(l\) is kept on a smooth horizontal surface such that it can move freely. At what distance from centre of rod should a particle of mass \(m\) strike on the rod such that the point \(\mathrm{P}\) at a distance \(l /\) 3 from the end of the rod is instantaneously at rest just after the elastic collision?
supporting img

1 \(\dfrac{l}{2}\)
2 \(\dfrac{l}{4}\)
3 \(\dfrac{l}{3}\)
4 \(\dfrac{l}{6}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365622 A solid sphere of mass \(M\) and radius \(R\) is placed on a rough horizontal surface. It is struck by a horizontal cue stick at a height \(h\) above the surface. The value of \(h\) so that the sphere performs pure rolling motion immediately after it has been struck is
supporting img

1 \(\dfrac{7 R}{5}\)
2 \(\dfrac{2 R}{5}\)
3 \(\dfrac{9 R}{5}\)
4 \(\dfrac{5 R}{5}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365623 A uniform solid sphere of radius \(r\) is rolling on a smooth horizontal surface with velocity \(v\) and angular velocity \(\omega(v=\omega r)\). The sphere collides with the wall as shown in the figure. The coefficient of friction between the sphere and the edge \(\mu=1 / 5\). Just after the collision the angular velocity of the sphere becomes zero. The linear velocity of the sphere just after the collision is equal to
supporting img

1 \(\dfrac{v}{6}\)
2 \(\dfrac{v}{5}\)
3 \(v\)
4 \(\dfrac{3 v}{5}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365624 Consider a body, shown in the figure, consisting of two identical balls, each of mass \(M\) connected by a light rigid rod. If an impulse \(J = Mv\) is imparted to the body at one of its ends, what would be its angular velocity?
supporting img

1 \(v/L\)
2 \(2v/L\)
3 \(v/3\;L\)
4 \(v/4\;L\)