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

365964 A cylindrical rod of mass \(M\), length \(L\) and radius \(\mathrm{R}\) has two cords wound around it whose ends are attached to the ceiling. The rod is held horizontally with the two cords vertical. When the rod is released, the cords unwind and the rod rotates. The linear acceleration of the cylinder as it falls is

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

365965 A rope is wound around a solid cylinder of mass \(1\;kg\) and radius \(0.4\;m\). What is the angular acceleration of cylinder, if the rope is pulled with a force of \(25\;N\) ? (cylinder is rotating about its own axis)

1 \(125\,rad/{s^2}\)
2 \(10\,rad/{s^2}\)
3 \(1\,rad/{s^2}\)
4 \(50\,rad/{s^2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365966 A uniform disc of radius \(R\) and mass \(M\) is free to rotate only about its axis. A string is wrapped over its rim and a body of mass \(m\) is tied to the end of the string as shown in the figure. The body is released from rest. Then the acceleration of the body
supporting img

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

365967 A solid is in the form of cylinder of mass \(50\;kg\) and radius \(0.5\;m\) is free to rotate about the horizontal axis. A massless string is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string required to produce an angular acceleration of \(2rev/{s^2}\) is

1 \(25\;N\)
2 \(50\;N\)
3 \(78.5\;N\)
4 \(157\;N\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365964 A cylindrical rod of mass \(M\), length \(L\) and radius \(\mathrm{R}\) has two cords wound around it whose ends are attached to the ceiling. The rod is held horizontally with the two cords vertical. When the rod is released, the cords unwind and the rod rotates. The linear acceleration of the cylinder as it falls is

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

365965 A rope is wound around a solid cylinder of mass \(1\;kg\) and radius \(0.4\;m\). What is the angular acceleration of cylinder, if the rope is pulled with a force of \(25\;N\) ? (cylinder is rotating about its own axis)

1 \(125\,rad/{s^2}\)
2 \(10\,rad/{s^2}\)
3 \(1\,rad/{s^2}\)
4 \(50\,rad/{s^2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365966 A uniform disc of radius \(R\) and mass \(M\) is free to rotate only about its axis. A string is wrapped over its rim and a body of mass \(m\) is tied to the end of the string as shown in the figure. The body is released from rest. Then the acceleration of the body
supporting img

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

365967 A solid is in the form of cylinder of mass \(50\;kg\) and radius \(0.5\;m\) is free to rotate about the horizontal axis. A massless string is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string required to produce an angular acceleration of \(2rev/{s^2}\) is

1 \(25\;N\)
2 \(50\;N\)
3 \(78.5\;N\)
4 \(157\;N\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365964 A cylindrical rod of mass \(M\), length \(L\) and radius \(\mathrm{R}\) has two cords wound around it whose ends are attached to the ceiling. The rod is held horizontally with the two cords vertical. When the rod is released, the cords unwind and the rod rotates. The linear acceleration of the cylinder as it falls is

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

365965 A rope is wound around a solid cylinder of mass \(1\;kg\) and radius \(0.4\;m\). What is the angular acceleration of cylinder, if the rope is pulled with a force of \(25\;N\) ? (cylinder is rotating about its own axis)

1 \(125\,rad/{s^2}\)
2 \(10\,rad/{s^2}\)
3 \(1\,rad/{s^2}\)
4 \(50\,rad/{s^2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365966 A uniform disc of radius \(R\) and mass \(M\) is free to rotate only about its axis. A string is wrapped over its rim and a body of mass \(m\) is tied to the end of the string as shown in the figure. The body is released from rest. Then the acceleration of the body
supporting img

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

365967 A solid is in the form of cylinder of mass \(50\;kg\) and radius \(0.5\;m\) is free to rotate about the horizontal axis. A massless string is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string required to produce an angular acceleration of \(2rev/{s^2}\) is

1 \(25\;N\)
2 \(50\;N\)
3 \(78.5\;N\)
4 \(157\;N\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365964 A cylindrical rod of mass \(M\), length \(L\) and radius \(\mathrm{R}\) has two cords wound around it whose ends are attached to the ceiling. The rod is held horizontally with the two cords vertical. When the rod is released, the cords unwind and the rod rotates. The linear acceleration of the cylinder as it falls is

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

365965 A rope is wound around a solid cylinder of mass \(1\;kg\) and radius \(0.4\;m\). What is the angular acceleration of cylinder, if the rope is pulled with a force of \(25\;N\) ? (cylinder is rotating about its own axis)

1 \(125\,rad/{s^2}\)
2 \(10\,rad/{s^2}\)
3 \(1\,rad/{s^2}\)
4 \(50\,rad/{s^2}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

365966 A uniform disc of radius \(R\) and mass \(M\) is free to rotate only about its axis. A string is wrapped over its rim and a body of mass \(m\) is tied to the end of the string as shown in the figure. The body is released from rest. Then the acceleration of the body
supporting img

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

365967 A solid is in the form of cylinder of mass \(50\;kg\) and radius \(0.5\;m\) is free to rotate about the horizontal axis. A massless string is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string required to produce an angular acceleration of \(2rev/{s^2}\) is

1 \(25\;N\)
2 \(50\;N\)
3 \(78.5\;N\)
4 \(157\;N\)