Work, Energy & Power in Case of Rotation of a Rigid Body about Fixed Axis
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366259 A stick of length \(\dfrac{10}{3}\) metre is held vertically with one end on a horizontal floor. It is then allowed to fall on the floor. Assuming that the end of the stick in contact with the floor and it does not slip, the speed of the other end of the rod when it hits the floor is
(Take \(g = 10\;m{\rm{/}}{s^2}\))

1 \(5\,m/s\)
2 \(10\,m/s\)
3 \(9\,m/s\)
4 \(3\,m/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366260 A rope is wound around a hollow cylinder of mass \(3\;kg\) and radius \(40\;cm\). What is the angular acceleration of the cylinder if the rope is pulled with a force of \(30\;N?\)

1 \(0.25{\mkern 1mu} \,rad{\mkern 1mu} \,{s^{ - 2}}\)
2 \(25\,{\mkern 1mu} rad\,{\mkern 1mu} {s^{ - 2}}\)
3 \(5\;m\;{s^{ - 2}}\)
4 \(25\;m\;{s^{ - 2}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366261 The given figure shows a force \({\vec F_1}\) acting on a particle of a rigid body rotating about a fixed axis. The particle describes a circular path with centre \(C\) on the axis. The correct option is
supporting img

1 Small displacement \(d s_{1}=r_{1} d \theta\)
2 Small work done by \({F_1}d{W_1} = {F_1}{r_1}d\theta \sin {\alpha _1}\)
3 Torque produced by \({F_1}{\tau _1} = {r_1}{F_1}\sin {\alpha _1}\)
4 All the above
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366262 When a 12000 joule of work is done on a fly wheel, its frequency of rotation increases from \(10\;Hz\,\,to\,\,20\;Hz\). The moment of inertia of flywheel about its axis of rotation is \(\left(\pi^{2}=10\right)\)

1 \(1kg{m^2}\)
2 \(2kg{m^2}\)
3 \(1.688kg{m^2}\)
4 \(1.5kg{m^2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366263 Three objects, \(A\) : (a solid sphere), \(B\) : (a thin circular disc) and \(C\) : (a circular ring), each have the same mass \(M\) and radius \(R\). They all spin with the same angular speed \(\omega\) about their own symmetry axes. The amounts of work \((W)\) required to bring them to rest, would satisfy the relation

1 \(W_{B}>W_{A}>W_{C}\)
2 \(W_{A}>W_{C}>W_{B}\)
3 \(W_{A}>W_{B}>W_{C}\)
4 \(W_{C}>W_{B}>W_{A}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366259 A stick of length \(\dfrac{10}{3}\) metre is held vertically with one end on a horizontal floor. It is then allowed to fall on the floor. Assuming that the end of the stick in contact with the floor and it does not slip, the speed of the other end of the rod when it hits the floor is
(Take \(g = 10\;m{\rm{/}}{s^2}\))

1 \(5\,m/s\)
2 \(10\,m/s\)
3 \(9\,m/s\)
4 \(3\,m/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366260 A rope is wound around a hollow cylinder of mass \(3\;kg\) and radius \(40\;cm\). What is the angular acceleration of the cylinder if the rope is pulled with a force of \(30\;N?\)

1 \(0.25{\mkern 1mu} \,rad{\mkern 1mu} \,{s^{ - 2}}\)
2 \(25\,{\mkern 1mu} rad\,{\mkern 1mu} {s^{ - 2}}\)
3 \(5\;m\;{s^{ - 2}}\)
4 \(25\;m\;{s^{ - 2}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366261 The given figure shows a force \({\vec F_1}\) acting on a particle of a rigid body rotating about a fixed axis. The particle describes a circular path with centre \(C\) on the axis. The correct option is
supporting img

1 Small displacement \(d s_{1}=r_{1} d \theta\)
2 Small work done by \({F_1}d{W_1} = {F_1}{r_1}d\theta \sin {\alpha _1}\)
3 Torque produced by \({F_1}{\tau _1} = {r_1}{F_1}\sin {\alpha _1}\)
4 All the above
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366262 When a 12000 joule of work is done on a fly wheel, its frequency of rotation increases from \(10\;Hz\,\,to\,\,20\;Hz\). The moment of inertia of flywheel about its axis of rotation is \(\left(\pi^{2}=10\right)\)

1 \(1kg{m^2}\)
2 \(2kg{m^2}\)
3 \(1.688kg{m^2}\)
4 \(1.5kg{m^2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366263 Three objects, \(A\) : (a solid sphere), \(B\) : (a thin circular disc) and \(C\) : (a circular ring), each have the same mass \(M\) and radius \(R\). They all spin with the same angular speed \(\omega\) about their own symmetry axes. The amounts of work \((W)\) required to bring them to rest, would satisfy the relation

1 \(W_{B}>W_{A}>W_{C}\)
2 \(W_{A}>W_{C}>W_{B}\)
3 \(W_{A}>W_{B}>W_{C}\)
4 \(W_{C}>W_{B}>W_{A}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366259 A stick of length \(\dfrac{10}{3}\) metre is held vertically with one end on a horizontal floor. It is then allowed to fall on the floor. Assuming that the end of the stick in contact with the floor and it does not slip, the speed of the other end of the rod when it hits the floor is
(Take \(g = 10\;m{\rm{/}}{s^2}\))

1 \(5\,m/s\)
2 \(10\,m/s\)
3 \(9\,m/s\)
4 \(3\,m/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366260 A rope is wound around a hollow cylinder of mass \(3\;kg\) and radius \(40\;cm\). What is the angular acceleration of the cylinder if the rope is pulled with a force of \(30\;N?\)

1 \(0.25{\mkern 1mu} \,rad{\mkern 1mu} \,{s^{ - 2}}\)
2 \(25\,{\mkern 1mu} rad\,{\mkern 1mu} {s^{ - 2}}\)
3 \(5\;m\;{s^{ - 2}}\)
4 \(25\;m\;{s^{ - 2}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366261 The given figure shows a force \({\vec F_1}\) acting on a particle of a rigid body rotating about a fixed axis. The particle describes a circular path with centre \(C\) on the axis. The correct option is
supporting img

1 Small displacement \(d s_{1}=r_{1} d \theta\)
2 Small work done by \({F_1}d{W_1} = {F_1}{r_1}d\theta \sin {\alpha _1}\)
3 Torque produced by \({F_1}{\tau _1} = {r_1}{F_1}\sin {\alpha _1}\)
4 All the above
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366262 When a 12000 joule of work is done on a fly wheel, its frequency of rotation increases from \(10\;Hz\,\,to\,\,20\;Hz\). The moment of inertia of flywheel about its axis of rotation is \(\left(\pi^{2}=10\right)\)

1 \(1kg{m^2}\)
2 \(2kg{m^2}\)
3 \(1.688kg{m^2}\)
4 \(1.5kg{m^2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366263 Three objects, \(A\) : (a solid sphere), \(B\) : (a thin circular disc) and \(C\) : (a circular ring), each have the same mass \(M\) and radius \(R\). They all spin with the same angular speed \(\omega\) about their own symmetry axes. The amounts of work \((W)\) required to bring them to rest, would satisfy the relation

1 \(W_{B}>W_{A}>W_{C}\)
2 \(W_{A}>W_{C}>W_{B}\)
3 \(W_{A}>W_{B}>W_{C}\)
4 \(W_{C}>W_{B}>W_{A}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366259 A stick of length \(\dfrac{10}{3}\) metre is held vertically with one end on a horizontal floor. It is then allowed to fall on the floor. Assuming that the end of the stick in contact with the floor and it does not slip, the speed of the other end of the rod when it hits the floor is
(Take \(g = 10\;m{\rm{/}}{s^2}\))

1 \(5\,m/s\)
2 \(10\,m/s\)
3 \(9\,m/s\)
4 \(3\,m/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366260 A rope is wound around a hollow cylinder of mass \(3\;kg\) and radius \(40\;cm\). What is the angular acceleration of the cylinder if the rope is pulled with a force of \(30\;N?\)

1 \(0.25{\mkern 1mu} \,rad{\mkern 1mu} \,{s^{ - 2}}\)
2 \(25\,{\mkern 1mu} rad\,{\mkern 1mu} {s^{ - 2}}\)
3 \(5\;m\;{s^{ - 2}}\)
4 \(25\;m\;{s^{ - 2}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366261 The given figure shows a force \({\vec F_1}\) acting on a particle of a rigid body rotating about a fixed axis. The particle describes a circular path with centre \(C\) on the axis. The correct option is
supporting img

1 Small displacement \(d s_{1}=r_{1} d \theta\)
2 Small work done by \({F_1}d{W_1} = {F_1}{r_1}d\theta \sin {\alpha _1}\)
3 Torque produced by \({F_1}{\tau _1} = {r_1}{F_1}\sin {\alpha _1}\)
4 All the above
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366262 When a 12000 joule of work is done on a fly wheel, its frequency of rotation increases from \(10\;Hz\,\,to\,\,20\;Hz\). The moment of inertia of flywheel about its axis of rotation is \(\left(\pi^{2}=10\right)\)

1 \(1kg{m^2}\)
2 \(2kg{m^2}\)
3 \(1.688kg{m^2}\)
4 \(1.5kg{m^2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366263 Three objects, \(A\) : (a solid sphere), \(B\) : (a thin circular disc) and \(C\) : (a circular ring), each have the same mass \(M\) and radius \(R\). They all spin with the same angular speed \(\omega\) about their own symmetry axes. The amounts of work \((W)\) required to bring them to rest, would satisfy the relation

1 \(W_{B}>W_{A}>W_{C}\)
2 \(W_{A}>W_{C}>W_{B}\)
3 \(W_{A}>W_{B}>W_{C}\)
4 \(W_{C}>W_{B}>W_{A}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366259 A stick of length \(\dfrac{10}{3}\) metre is held vertically with one end on a horizontal floor. It is then allowed to fall on the floor. Assuming that the end of the stick in contact with the floor and it does not slip, the speed of the other end of the rod when it hits the floor is
(Take \(g = 10\;m{\rm{/}}{s^2}\))

1 \(5\,m/s\)
2 \(10\,m/s\)
3 \(9\,m/s\)
4 \(3\,m/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366260 A rope is wound around a hollow cylinder of mass \(3\;kg\) and radius \(40\;cm\). What is the angular acceleration of the cylinder if the rope is pulled with a force of \(30\;N?\)

1 \(0.25{\mkern 1mu} \,rad{\mkern 1mu} \,{s^{ - 2}}\)
2 \(25\,{\mkern 1mu} rad\,{\mkern 1mu} {s^{ - 2}}\)
3 \(5\;m\;{s^{ - 2}}\)
4 \(25\;m\;{s^{ - 2}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366261 The given figure shows a force \({\vec F_1}\) acting on a particle of a rigid body rotating about a fixed axis. The particle describes a circular path with centre \(C\) on the axis. The correct option is
supporting img

1 Small displacement \(d s_{1}=r_{1} d \theta\)
2 Small work done by \({F_1}d{W_1} = {F_1}{r_1}d\theta \sin {\alpha _1}\)
3 Torque produced by \({F_1}{\tau _1} = {r_1}{F_1}\sin {\alpha _1}\)
4 All the above
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366262 When a 12000 joule of work is done on a fly wheel, its frequency of rotation increases from \(10\;Hz\,\,to\,\,20\;Hz\). The moment of inertia of flywheel about its axis of rotation is \(\left(\pi^{2}=10\right)\)

1 \(1kg{m^2}\)
2 \(2kg{m^2}\)
3 \(1.688kg{m^2}\)
4 \(1.5kg{m^2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366263 Three objects, \(A\) : (a solid sphere), \(B\) : (a thin circular disc) and \(C\) : (a circular ring), each have the same mass \(M\) and radius \(R\). They all spin with the same angular speed \(\omega\) about their own symmetry axes. The amounts of work \((W)\) required to bring them to rest, would satisfy the relation

1 \(W_{B}>W_{A}>W_{C}\)
2 \(W_{A}>W_{C}>W_{B}\)
3 \(W_{A}>W_{B}>W_{C}\)
4 \(W_{C}>W_{B}>W_{A}\)