Angular Impulse
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365625 An impulse \(J\) is exerted on a rod of mass \(m\) and length \(L\) at a distance \(x\) from the \(C.M.\) Find the value of \(x\) at which the net velocity of point \(P\) is zero.
supporting img

1 \(\frac{L}{{12}}\)
2 \(\dfrac{L}{8}\)
3 \(\dfrac{L}{3}\)
4 \(\dfrac{L}{6}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365626 \(A B\) is a horizontal diameter of a ball of mass \(m=0.4 {~kg}\) and radius \(R=0.10 {~m}\). At time \(t=0\), a sharp impulse is applied at \(B\) at angle of \(45^{\circ}\) with the horizontal, as shown in figure so that the ball immediately starts to move with velocity \({V_0} = 10\;m{s^{ - 1}}\). Calculate the angular velocity of ball just after impulse provided.
supporting img

1 \(250\,rad/s\)
2 \(100\,rad/s\)
3 \(330\,rad/s\)
4 \(500\,rad/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365627 Two particles of equal mass \(m\) at \(A\) and \(B\) are connected by a rigid light rod \(AB\) lying on a smooth horizontal table. An impulse \(J\) is applied at \(A\) in the plane of the table and perpendicular to \(A B\). The velocity of particle at \(A\) is:
supporting img

1 \(\dfrac{2 J}{m}\)
2 Zero
3 \(\dfrac{J}{m}\)
4 \(\dfrac{J}{2 m}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365625 An impulse \(J\) is exerted on a rod of mass \(m\) and length \(L\) at a distance \(x\) from the \(C.M.\) Find the value of \(x\) at which the net velocity of point \(P\) is zero.
supporting img

1 \(\frac{L}{{12}}\)
2 \(\dfrac{L}{8}\)
3 \(\dfrac{L}{3}\)
4 \(\dfrac{L}{6}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365626 \(A B\) is a horizontal diameter of a ball of mass \(m=0.4 {~kg}\) and radius \(R=0.10 {~m}\). At time \(t=0\), a sharp impulse is applied at \(B\) at angle of \(45^{\circ}\) with the horizontal, as shown in figure so that the ball immediately starts to move with velocity \({V_0} = 10\;m{s^{ - 1}}\). Calculate the angular velocity of ball just after impulse provided.
supporting img

1 \(250\,rad/s\)
2 \(100\,rad/s\)
3 \(330\,rad/s\)
4 \(500\,rad/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365627 Two particles of equal mass \(m\) at \(A\) and \(B\) are connected by a rigid light rod \(AB\) lying on a smooth horizontal table. An impulse \(J\) is applied at \(A\) in the plane of the table and perpendicular to \(A B\). The velocity of particle at \(A\) is:
supporting img

1 \(\dfrac{2 J}{m}\)
2 Zero
3 \(\dfrac{J}{m}\)
4 \(\dfrac{J}{2 m}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365625 An impulse \(J\) is exerted on a rod of mass \(m\) and length \(L\) at a distance \(x\) from the \(C.M.\) Find the value of \(x\) at which the net velocity of point \(P\) is zero.
supporting img

1 \(\frac{L}{{12}}\)
2 \(\dfrac{L}{8}\)
3 \(\dfrac{L}{3}\)
4 \(\dfrac{L}{6}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365626 \(A B\) is a horizontal diameter of a ball of mass \(m=0.4 {~kg}\) and radius \(R=0.10 {~m}\). At time \(t=0\), a sharp impulse is applied at \(B\) at angle of \(45^{\circ}\) with the horizontal, as shown in figure so that the ball immediately starts to move with velocity \({V_0} = 10\;m{s^{ - 1}}\). Calculate the angular velocity of ball just after impulse provided.
supporting img

1 \(250\,rad/s\)
2 \(100\,rad/s\)
3 \(330\,rad/s\)
4 \(500\,rad/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365627 Two particles of equal mass \(m\) at \(A\) and \(B\) are connected by a rigid light rod \(AB\) lying on a smooth horizontal table. An impulse \(J\) is applied at \(A\) in the plane of the table and perpendicular to \(A B\). The velocity of particle at \(A\) is:
supporting img

1 \(\dfrac{2 J}{m}\)
2 Zero
3 \(\dfrac{J}{m}\)
4 \(\dfrac{J}{2 m}\)