Plane Motion of a Rigid Body
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366024 A thin hollow sphere of mass \(m\) is completely filled with a liquid of mass \(m\). When the sphere rolls with a velocity \(v\), kinetic energy of the system is (neglect friction)

1 \((1 / 2) m v^{2}\)
2 \(m v^{2}\)
3 \((4 / 3) m v^{2}\)
4 \((4 / 5) m v^{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366025 A spherical shell rolls on a table without slipping. What is the percentage of its K.E which is rotational?

1 \(50 \%\)
2 \(40 \%\)
3 \(70 \%\)
4 \(90 \%\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366026 A thin rod \(\mathrm{AB}\) is sliding between two fixed right angled surfaces. At some instant its angular velocity is \(\omega\). If \(I_{x}\) represent moment of inertia of the rod about an axis perpendicular to the plane \((A, B, C \& D)\) and passing through the point \(\mathrm{D}\) the kinetic energy of the rod is :
supporting img

1 \(\dfrac{1}{2} I_{A} \omega^{2}\)
2 \(\dfrac{1}{2} I_{B} \omega^{2}\)
3 \(\dfrac{1}{2} I_{D} \omega^{2}\)
4 \(\dfrac{1}{2} I_{C} \omega^{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366027 A solid cylinder of radius \(R\) and mass \(M\) rolls down an inclined plane of height \(h\). When it reaches the bottom of the plane, its rotational kinetic energy is ( \(g{\rm{ }} = \) acceleration due to gravity)

1 \(\frac{{Mgh}}{4}\)
2 \(\frac{{Mgh}}{2}\)
3 \(Mgh\)
4 \(\frac{{Mgh}}{3}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366024 A thin hollow sphere of mass \(m\) is completely filled with a liquid of mass \(m\). When the sphere rolls with a velocity \(v\), kinetic energy of the system is (neglect friction)

1 \((1 / 2) m v^{2}\)
2 \(m v^{2}\)
3 \((4 / 3) m v^{2}\)
4 \((4 / 5) m v^{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366025 A spherical shell rolls on a table without slipping. What is the percentage of its K.E which is rotational?

1 \(50 \%\)
2 \(40 \%\)
3 \(70 \%\)
4 \(90 \%\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366026 A thin rod \(\mathrm{AB}\) is sliding between two fixed right angled surfaces. At some instant its angular velocity is \(\omega\). If \(I_{x}\) represent moment of inertia of the rod about an axis perpendicular to the plane \((A, B, C \& D)\) and passing through the point \(\mathrm{D}\) the kinetic energy of the rod is :
supporting img

1 \(\dfrac{1}{2} I_{A} \omega^{2}\)
2 \(\dfrac{1}{2} I_{B} \omega^{2}\)
3 \(\dfrac{1}{2} I_{D} \omega^{2}\)
4 \(\dfrac{1}{2} I_{C} \omega^{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366027 A solid cylinder of radius \(R\) and mass \(M\) rolls down an inclined plane of height \(h\). When it reaches the bottom of the plane, its rotational kinetic energy is ( \(g{\rm{ }} = \) acceleration due to gravity)

1 \(\frac{{Mgh}}{4}\)
2 \(\frac{{Mgh}}{2}\)
3 \(Mgh\)
4 \(\frac{{Mgh}}{3}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366024 A thin hollow sphere of mass \(m\) is completely filled with a liquid of mass \(m\). When the sphere rolls with a velocity \(v\), kinetic energy of the system is (neglect friction)

1 \((1 / 2) m v^{2}\)
2 \(m v^{2}\)
3 \((4 / 3) m v^{2}\)
4 \((4 / 5) m v^{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366025 A spherical shell rolls on a table without slipping. What is the percentage of its K.E which is rotational?

1 \(50 \%\)
2 \(40 \%\)
3 \(70 \%\)
4 \(90 \%\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366026 A thin rod \(\mathrm{AB}\) is sliding between two fixed right angled surfaces. At some instant its angular velocity is \(\omega\). If \(I_{x}\) represent moment of inertia of the rod about an axis perpendicular to the plane \((A, B, C \& D)\) and passing through the point \(\mathrm{D}\) the kinetic energy of the rod is :
supporting img

1 \(\dfrac{1}{2} I_{A} \omega^{2}\)
2 \(\dfrac{1}{2} I_{B} \omega^{2}\)
3 \(\dfrac{1}{2} I_{D} \omega^{2}\)
4 \(\dfrac{1}{2} I_{C} \omega^{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366027 A solid cylinder of radius \(R\) and mass \(M\) rolls down an inclined plane of height \(h\). When it reaches the bottom of the plane, its rotational kinetic energy is ( \(g{\rm{ }} = \) acceleration due to gravity)

1 \(\frac{{Mgh}}{4}\)
2 \(\frac{{Mgh}}{2}\)
3 \(Mgh\)
4 \(\frac{{Mgh}}{3}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366024 A thin hollow sphere of mass \(m\) is completely filled with a liquid of mass \(m\). When the sphere rolls with a velocity \(v\), kinetic energy of the system is (neglect friction)

1 \((1 / 2) m v^{2}\)
2 \(m v^{2}\)
3 \((4 / 3) m v^{2}\)
4 \((4 / 5) m v^{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366025 A spherical shell rolls on a table without slipping. What is the percentage of its K.E which is rotational?

1 \(50 \%\)
2 \(40 \%\)
3 \(70 \%\)
4 \(90 \%\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366026 A thin rod \(\mathrm{AB}\) is sliding between two fixed right angled surfaces. At some instant its angular velocity is \(\omega\). If \(I_{x}\) represent moment of inertia of the rod about an axis perpendicular to the plane \((A, B, C \& D)\) and passing through the point \(\mathrm{D}\) the kinetic energy of the rod is :
supporting img

1 \(\dfrac{1}{2} I_{A} \omega^{2}\)
2 \(\dfrac{1}{2} I_{B} \omega^{2}\)
3 \(\dfrac{1}{2} I_{D} \omega^{2}\)
4 \(\dfrac{1}{2} I_{C} \omega^{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366027 A solid cylinder of radius \(R\) and mass \(M\) rolls down an inclined plane of height \(h\). When it reaches the bottom of the plane, its rotational kinetic energy is ( \(g{\rm{ }} = \) acceleration due to gravity)

1 \(\frac{{Mgh}}{4}\)
2 \(\frac{{Mgh}}{2}\)
3 \(Mgh\)
4 \(\frac{{Mgh}}{3}\)