Torque and Angular Momentum
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366174 A particle of mass \(m\) is projected with a velocity \(v\) making an angle of \(45^{\circ}\) with the horizontal. The magnitude of angular momentum of the projectile about an axis of projection when the particle is of maximum height \(h\) is

1 zero
2 \(\dfrac{m v^{3}}{4 \sqrt{2} g}\)
3 \(\dfrac{m v^{2}}{\sqrt{2} g}\)
4 \(m\left(2 g h^{3}\right)\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366175 A ball of mass \(160 \mathrm{~g}\) is thrown up at an 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 \(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)

1 \(3.0 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
2 \(3.46 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
3 \(1.73 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
4 \(6.0 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366176 The angular momentum of a rotating body changes from \(4 A_{o}\) to \(A_{o}\) in \(4\,\sec \). The torque acting on the body is :

1 \(4 A_{0}\)
2 \(\dfrac{3}{4} A_{0}\)
3 \(\dfrac{3}{2} A_{0}\)
4 \(3 A_{0}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366177 A particle of mass \(m\) is projected horizontally from a top of a tower of height \(H\) with a velocity \(u\). The angular momentum of the particle with respect to base of the tower \(P\) is
supporting img

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

366178 Angular momentum of a body changes when

1 Direction of velocity changes
2 Torque acts on a body
3 Force acts on a body
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366174 A particle of mass \(m\) is projected with a velocity \(v\) making an angle of \(45^{\circ}\) with the horizontal. The magnitude of angular momentum of the projectile about an axis of projection when the particle is of maximum height \(h\) is

1 zero
2 \(\dfrac{m v^{3}}{4 \sqrt{2} g}\)
3 \(\dfrac{m v^{2}}{\sqrt{2} g}\)
4 \(m\left(2 g h^{3}\right)\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366175 A ball of mass \(160 \mathrm{~g}\) is thrown up at an 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 \(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)

1 \(3.0 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
2 \(3.46 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
3 \(1.73 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
4 \(6.0 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366176 The angular momentum of a rotating body changes from \(4 A_{o}\) to \(A_{o}\) in \(4\,\sec \). The torque acting on the body is :

1 \(4 A_{0}\)
2 \(\dfrac{3}{4} A_{0}\)
3 \(\dfrac{3}{2} A_{0}\)
4 \(3 A_{0}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366177 A particle of mass \(m\) is projected horizontally from a top of a tower of height \(H\) with a velocity \(u\). The angular momentum of the particle with respect to base of the tower \(P\) is
supporting img

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

366178 Angular momentum of a body changes when

1 Direction of velocity changes
2 Torque acts on a body
3 Force acts on a body
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366174 A particle of mass \(m\) is projected with a velocity \(v\) making an angle of \(45^{\circ}\) with the horizontal. The magnitude of angular momentum of the projectile about an axis of projection when the particle is of maximum height \(h\) is

1 zero
2 \(\dfrac{m v^{3}}{4 \sqrt{2} g}\)
3 \(\dfrac{m v^{2}}{\sqrt{2} g}\)
4 \(m\left(2 g h^{3}\right)\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366175 A ball of mass \(160 \mathrm{~g}\) is thrown up at an 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 \(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)

1 \(3.0 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
2 \(3.46 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
3 \(1.73 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
4 \(6.0 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366176 The angular momentum of a rotating body changes from \(4 A_{o}\) to \(A_{o}\) in \(4\,\sec \). The torque acting on the body is :

1 \(4 A_{0}\)
2 \(\dfrac{3}{4} A_{0}\)
3 \(\dfrac{3}{2} A_{0}\)
4 \(3 A_{0}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366177 A particle of mass \(m\) is projected horizontally from a top of a tower of height \(H\) with a velocity \(u\). The angular momentum of the particle with respect to base of the tower \(P\) is
supporting img

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

366178 Angular momentum of a body changes when

1 Direction of velocity changes
2 Torque acts on a body
3 Force acts on a body
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366174 A particle of mass \(m\) is projected with a velocity \(v\) making an angle of \(45^{\circ}\) with the horizontal. The magnitude of angular momentum of the projectile about an axis of projection when the particle is of maximum height \(h\) is

1 zero
2 \(\dfrac{m v^{3}}{4 \sqrt{2} g}\)
3 \(\dfrac{m v^{2}}{\sqrt{2} g}\)
4 \(m\left(2 g h^{3}\right)\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366175 A ball of mass \(160 \mathrm{~g}\) is thrown up at an 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 \(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)

1 \(3.0 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
2 \(3.46 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
3 \(1.73 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
4 \(6.0 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366176 The angular momentum of a rotating body changes from \(4 A_{o}\) to \(A_{o}\) in \(4\,\sec \). The torque acting on the body is :

1 \(4 A_{0}\)
2 \(\dfrac{3}{4} A_{0}\)
3 \(\dfrac{3}{2} A_{0}\)
4 \(3 A_{0}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366177 A particle of mass \(m\) is projected horizontally from a top of a tower of height \(H\) with a velocity \(u\). The angular momentum of the particle with respect to base of the tower \(P\) is
supporting img

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

366178 Angular momentum of a body changes when

1 Direction of velocity changes
2 Torque acts on a body
3 Force acts on a body
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366174 A particle of mass \(m\) is projected with a velocity \(v\) making an angle of \(45^{\circ}\) with the horizontal. The magnitude of angular momentum of the projectile about an axis of projection when the particle is of maximum height \(h\) is

1 zero
2 \(\dfrac{m v^{3}}{4 \sqrt{2} g}\)
3 \(\dfrac{m v^{2}}{\sqrt{2} g}\)
4 \(m\left(2 g h^{3}\right)\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366175 A ball of mass \(160 \mathrm{~g}\) is thrown up at an 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 \(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)

1 \(3.0 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
2 \(3.46 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
3 \(1.73 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
4 \(6.0 \mathrm{~kg} \mathrm{~m}^{2} / \mathrm{s}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366176 The angular momentum of a rotating body changes from \(4 A_{o}\) to \(A_{o}\) in \(4\,\sec \). The torque acting on the body is :

1 \(4 A_{0}\)
2 \(\dfrac{3}{4} A_{0}\)
3 \(\dfrac{3}{2} A_{0}\)
4 \(3 A_{0}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366177 A particle of mass \(m\) is projected horizontally from a top of a tower of height \(H\) with a velocity \(u\). The angular momentum of the particle with respect to base of the tower \(P\) is
supporting img

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

366178 Angular momentum of a body changes when

1 Direction of velocity changes
2 Torque acts on a body
3 Force acts on a body
4 None of these