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

365959 Assertion :
A rigid body not fixed in some way can have either pure translation or a combination of translation and rotation.
Reason :
In rotation about a fixed axis, every particle off the rigid body moves in a circle which lies in a plane perpendicular to the axis and has its centre on the axis.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365960 A heavy uniform bar is carried by two men on their shoulder. The weight of the bar is \(42\;N.\) If one man lets it fall from the end carried by him, the weight experienced by the other at the instant the rod is falling is
(Take \(g = 10\;m{\rm{/}}{s^2}\))

1 \(9.2\,N\)
2 \(10.5\,N\)
3 \(12.3\,N\)
4 \(15.2\,N\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365961 A thin uniform hemi spherical bowl of mass \(m\) and radius \(\mathrm{R}\) is lying on a smooth horizontal surface. A horizontal force \(\mathrm{F}\) is now applied perpendicular to the rim of the bowl. The instantaneous angular acceleration of the bowl will be
supporting img

1 \(\dfrac{10}{3} \dfrac{F}{m R}\)
2 \(\dfrac{6}{5} \dfrac{F}{m R}\)
3 \(\dfrac{40}{3} \dfrac{F}{m R}\)
4 \(\dfrac{5}{3} \dfrac{F}{m R}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365962 A uniform rod of length \(l\) and mass \(M\) is suspended from two inextensible string as shown in figure. Tension in left string at the instant, when right string breaks, is
supporting img

1 \(mg\)
2 \(\dfrac{m g}{8}\)
3 \(\dfrac{m g}{4}\)
4 \(\dfrac{m g}{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365963 Consider two objects with \(m_{1}>m_{2}\) connected by a light string that passes over a pulley having a moment of inertia of \(I\) about its axis of rotation as shown in the figure. The string does not slip on the pulley or stretch. The pulley turns without friction. The two objects are released from rest separated by a vertical distance \(2\;h\). The translational speeds of the objects as they pass each other is
supporting img

1 \(\sqrt{\dfrac{\left(m_{1}+m_{2}\right) g h}{m_{1}+m_{2}+\dfrac{I}{R^{2}}}}\)
2 \(\sqrt{\dfrac{\left(m_{1}-m_{2}\right) g h}{m_{1}+m_{2}+\dfrac{I}{R^{2}}}}\)
3 \(\sqrt{\dfrac{2\left(m_{1}-m_{2}\right) g h}{m_{1}+m_{2}+\dfrac{I}{R^{2}}}}\)
4 \(\sqrt{\dfrac{2\left(m_{1}+m_{2}\right) g h}{m_{1}+m_{2}+\dfrac{I}{R^{2}}}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365959 Assertion :
A rigid body not fixed in some way can have either pure translation or a combination of translation and rotation.
Reason :
In rotation about a fixed axis, every particle off the rigid body moves in a circle which lies in a plane perpendicular to the axis and has its centre on the axis.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365960 A heavy uniform bar is carried by two men on their shoulder. The weight of the bar is \(42\;N.\) If one man lets it fall from the end carried by him, the weight experienced by the other at the instant the rod is falling is
(Take \(g = 10\;m{\rm{/}}{s^2}\))

1 \(9.2\,N\)
2 \(10.5\,N\)
3 \(12.3\,N\)
4 \(15.2\,N\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365961 A thin uniform hemi spherical bowl of mass \(m\) and radius \(\mathrm{R}\) is lying on a smooth horizontal surface. A horizontal force \(\mathrm{F}\) is now applied perpendicular to the rim of the bowl. The instantaneous angular acceleration of the bowl will be
supporting img

1 \(\dfrac{10}{3} \dfrac{F}{m R}\)
2 \(\dfrac{6}{5} \dfrac{F}{m R}\)
3 \(\dfrac{40}{3} \dfrac{F}{m R}\)
4 \(\dfrac{5}{3} \dfrac{F}{m R}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365962 A uniform rod of length \(l\) and mass \(M\) is suspended from two inextensible string as shown in figure. Tension in left string at the instant, when right string breaks, is
supporting img

1 \(mg\)
2 \(\dfrac{m g}{8}\)
3 \(\dfrac{m g}{4}\)
4 \(\dfrac{m g}{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365963 Consider two objects with \(m_{1}>m_{2}\) connected by a light string that passes over a pulley having a moment of inertia of \(I\) about its axis of rotation as shown in the figure. The string does not slip on the pulley or stretch. The pulley turns without friction. The two objects are released from rest separated by a vertical distance \(2\;h\). The translational speeds of the objects as they pass each other is
supporting img

1 \(\sqrt{\dfrac{\left(m_{1}+m_{2}\right) g h}{m_{1}+m_{2}+\dfrac{I}{R^{2}}}}\)
2 \(\sqrt{\dfrac{\left(m_{1}-m_{2}\right) g h}{m_{1}+m_{2}+\dfrac{I}{R^{2}}}}\)
3 \(\sqrt{\dfrac{2\left(m_{1}-m_{2}\right) g h}{m_{1}+m_{2}+\dfrac{I}{R^{2}}}}\)
4 \(\sqrt{\dfrac{2\left(m_{1}+m_{2}\right) g h}{m_{1}+m_{2}+\dfrac{I}{R^{2}}}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365959 Assertion :
A rigid body not fixed in some way can have either pure translation or a combination of translation and rotation.
Reason :
In rotation about a fixed axis, every particle off the rigid body moves in a circle which lies in a plane perpendicular to the axis and has its centre on the axis.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365960 A heavy uniform bar is carried by two men on their shoulder. The weight of the bar is \(42\;N.\) If one man lets it fall from the end carried by him, the weight experienced by the other at the instant the rod is falling is
(Take \(g = 10\;m{\rm{/}}{s^2}\))

1 \(9.2\,N\)
2 \(10.5\,N\)
3 \(12.3\,N\)
4 \(15.2\,N\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365961 A thin uniform hemi spherical bowl of mass \(m\) and radius \(\mathrm{R}\) is lying on a smooth horizontal surface. A horizontal force \(\mathrm{F}\) is now applied perpendicular to the rim of the bowl. The instantaneous angular acceleration of the bowl will be
supporting img

1 \(\dfrac{10}{3} \dfrac{F}{m R}\)
2 \(\dfrac{6}{5} \dfrac{F}{m R}\)
3 \(\dfrac{40}{3} \dfrac{F}{m R}\)
4 \(\dfrac{5}{3} \dfrac{F}{m R}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365962 A uniform rod of length \(l\) and mass \(M\) is suspended from two inextensible string as shown in figure. Tension in left string at the instant, when right string breaks, is
supporting img

1 \(mg\)
2 \(\dfrac{m g}{8}\)
3 \(\dfrac{m g}{4}\)
4 \(\dfrac{m g}{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365963 Consider two objects with \(m_{1}>m_{2}\) connected by a light string that passes over a pulley having a moment of inertia of \(I\) about its axis of rotation as shown in the figure. The string does not slip on the pulley or stretch. The pulley turns without friction. The two objects are released from rest separated by a vertical distance \(2\;h\). The translational speeds of the objects as they pass each other is
supporting img

1 \(\sqrt{\dfrac{\left(m_{1}+m_{2}\right) g h}{m_{1}+m_{2}+\dfrac{I}{R^{2}}}}\)
2 \(\sqrt{\dfrac{\left(m_{1}-m_{2}\right) g h}{m_{1}+m_{2}+\dfrac{I}{R^{2}}}}\)
3 \(\sqrt{\dfrac{2\left(m_{1}-m_{2}\right) g h}{m_{1}+m_{2}+\dfrac{I}{R^{2}}}}\)
4 \(\sqrt{\dfrac{2\left(m_{1}+m_{2}\right) g h}{m_{1}+m_{2}+\dfrac{I}{R^{2}}}}\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365959 Assertion :
A rigid body not fixed in some way can have either pure translation or a combination of translation and rotation.
Reason :
In rotation about a fixed axis, every particle off the rigid body moves in a circle which lies in a plane perpendicular to the axis and has its centre on the axis.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365960 A heavy uniform bar is carried by two men on their shoulder. The weight of the bar is \(42\;N.\) If one man lets it fall from the end carried by him, the weight experienced by the other at the instant the rod is falling is
(Take \(g = 10\;m{\rm{/}}{s^2}\))

1 \(9.2\,N\)
2 \(10.5\,N\)
3 \(12.3\,N\)
4 \(15.2\,N\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365961 A thin uniform hemi spherical bowl of mass \(m\) and radius \(\mathrm{R}\) is lying on a smooth horizontal surface. A horizontal force \(\mathrm{F}\) is now applied perpendicular to the rim of the bowl. The instantaneous angular acceleration of the bowl will be
supporting img

1 \(\dfrac{10}{3} \dfrac{F}{m R}\)
2 \(\dfrac{6}{5} \dfrac{F}{m R}\)
3 \(\dfrac{40}{3} \dfrac{F}{m R}\)
4 \(\dfrac{5}{3} \dfrac{F}{m R}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365962 A uniform rod of length \(l\) and mass \(M\) is suspended from two inextensible string as shown in figure. Tension in left string at the instant, when right string breaks, is
supporting img

1 \(mg\)
2 \(\dfrac{m g}{8}\)
3 \(\dfrac{m g}{4}\)
4 \(\dfrac{m g}{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365963 Consider two objects with \(m_{1}>m_{2}\) connected by a light string that passes over a pulley having a moment of inertia of \(I\) about its axis of rotation as shown in the figure. The string does not slip on the pulley or stretch. The pulley turns without friction. The two objects are released from rest separated by a vertical distance \(2\;h\). The translational speeds of the objects as they pass each other is
supporting img

1 \(\sqrt{\dfrac{\left(m_{1}+m_{2}\right) g h}{m_{1}+m_{2}+\dfrac{I}{R^{2}}}}\)
2 \(\sqrt{\dfrac{\left(m_{1}-m_{2}\right) g h}{m_{1}+m_{2}+\dfrac{I}{R^{2}}}}\)
3 \(\sqrt{\dfrac{2\left(m_{1}-m_{2}\right) g h}{m_{1}+m_{2}+\dfrac{I}{R^{2}}}}\)
4 \(\sqrt{\dfrac{2\left(m_{1}+m_{2}\right) g h}{m_{1}+m_{2}+\dfrac{I}{R^{2}}}}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365959 Assertion :
A rigid body not fixed in some way can have either pure translation or a combination of translation and rotation.
Reason :
In rotation about a fixed axis, every particle off the rigid body moves in a circle which lies in a plane perpendicular to the axis and has its centre on the axis.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365960 A heavy uniform bar is carried by two men on their shoulder. The weight of the bar is \(42\;N.\) If one man lets it fall from the end carried by him, the weight experienced by the other at the instant the rod is falling is
(Take \(g = 10\;m{\rm{/}}{s^2}\))

1 \(9.2\,N\)
2 \(10.5\,N\)
3 \(12.3\,N\)
4 \(15.2\,N\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365961 A thin uniform hemi spherical bowl of mass \(m\) and radius \(\mathrm{R}\) is lying on a smooth horizontal surface. A horizontal force \(\mathrm{F}\) is now applied perpendicular to the rim of the bowl. The instantaneous angular acceleration of the bowl will be
supporting img

1 \(\dfrac{10}{3} \dfrac{F}{m R}\)
2 \(\dfrac{6}{5} \dfrac{F}{m R}\)
3 \(\dfrac{40}{3} \dfrac{F}{m R}\)
4 \(\dfrac{5}{3} \dfrac{F}{m R}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365962 A uniform rod of length \(l\) and mass \(M\) is suspended from two inextensible string as shown in figure. Tension in left string at the instant, when right string breaks, is
supporting img

1 \(mg\)
2 \(\dfrac{m g}{8}\)
3 \(\dfrac{m g}{4}\)
4 \(\dfrac{m g}{2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365963 Consider two objects with \(m_{1}>m_{2}\) connected by a light string that passes over a pulley having a moment of inertia of \(I\) about its axis of rotation as shown in the figure. The string does not slip on the pulley or stretch. The pulley turns without friction. The two objects are released from rest separated by a vertical distance \(2\;h\). The translational speeds of the objects as they pass each other is
supporting img

1 \(\sqrt{\dfrac{\left(m_{1}+m_{2}\right) g h}{m_{1}+m_{2}+\dfrac{I}{R^{2}}}}\)
2 \(\sqrt{\dfrac{\left(m_{1}-m_{2}\right) g h}{m_{1}+m_{2}+\dfrac{I}{R^{2}}}}\)
3 \(\sqrt{\dfrac{2\left(m_{1}-m_{2}\right) g h}{m_{1}+m_{2}+\dfrac{I}{R^{2}}}}\)
4 \(\sqrt{\dfrac{2\left(m_{1}+m_{2}\right) g h}{m_{1}+m_{2}+\dfrac{I}{R^{2}}}}\)