Rigid Body Constraints
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366045 A system of identical cylinders and plates is as shown in the figure. All the cylinders are identical and there is no slipping at any contact. The velocity of lower and upper plates are \(v\) and \(2 v\), respectively, as shown in the figure. Then the ratio of angular speeds of the upper cylinders to lower cylinders is
supporting img

1 \(1 / 3\)
2 3
3 1
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366046 In rotational motion of a rigid body, all particles move with

1 Same linear & angular velocity
2 Same linear and different angular velocity
3 Different linear velocities and same angular velocities
4 Different linear velocities and different angular velocities
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366047 A string of negligible thickness is wrapped several times around a cylinder kept on a rough horizontal surface. A man standing at a distance \(l\) from the cylinder holds one end of the string and pulls the cylinder towards him. There is no slipping anywhere. The length of the string passed through the hand of the man while the cylinder reaches his hands is
supporting img

1 \(l\)
2 \(2 l\)
3 \(3 l\)
4 \(4 l\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366048 A ladder is leaned against a smooth wall and it is allowed to slip on a frictionless floor. The path followed by the \(CM\) is
supporting img

1 Straight line
2 Parabola
3 Hyperbola
4 Circular
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366049 A point \(P\) on the rim of wheel is initially at rest and in contact with the ground. Find the displacement of the point \(P\) if the radius of the wheel is \(5\;m\) and the wheel rolls forward through half a revolution

1 \(10\;\,m\)
2 \(5\;m\)
3 \(5\sqrt {\left( {{\pi ^2} + 4} \right)} m\)
4 \(2.5\;m\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366045 A system of identical cylinders and plates is as shown in the figure. All the cylinders are identical and there is no slipping at any contact. The velocity of lower and upper plates are \(v\) and \(2 v\), respectively, as shown in the figure. Then the ratio of angular speeds of the upper cylinders to lower cylinders is
supporting img

1 \(1 / 3\)
2 3
3 1
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366046 In rotational motion of a rigid body, all particles move with

1 Same linear & angular velocity
2 Same linear and different angular velocity
3 Different linear velocities and same angular velocities
4 Different linear velocities and different angular velocities
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366047 A string of negligible thickness is wrapped several times around a cylinder kept on a rough horizontal surface. A man standing at a distance \(l\) from the cylinder holds one end of the string and pulls the cylinder towards him. There is no slipping anywhere. The length of the string passed through the hand of the man while the cylinder reaches his hands is
supporting img

1 \(l\)
2 \(2 l\)
3 \(3 l\)
4 \(4 l\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366048 A ladder is leaned against a smooth wall and it is allowed to slip on a frictionless floor. The path followed by the \(CM\) is
supporting img

1 Straight line
2 Parabola
3 Hyperbola
4 Circular
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366049 A point \(P\) on the rim of wheel is initially at rest and in contact with the ground. Find the displacement of the point \(P\) if the radius of the wheel is \(5\;m\) and the wheel rolls forward through half a revolution

1 \(10\;\,m\)
2 \(5\;m\)
3 \(5\sqrt {\left( {{\pi ^2} + 4} \right)} m\)
4 \(2.5\;m\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366045 A system of identical cylinders and plates is as shown in the figure. All the cylinders are identical and there is no slipping at any contact. The velocity of lower and upper plates are \(v\) and \(2 v\), respectively, as shown in the figure. Then the ratio of angular speeds of the upper cylinders to lower cylinders is
supporting img

1 \(1 / 3\)
2 3
3 1
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366046 In rotational motion of a rigid body, all particles move with

1 Same linear & angular velocity
2 Same linear and different angular velocity
3 Different linear velocities and same angular velocities
4 Different linear velocities and different angular velocities
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366047 A string of negligible thickness is wrapped several times around a cylinder kept on a rough horizontal surface. A man standing at a distance \(l\) from the cylinder holds one end of the string and pulls the cylinder towards him. There is no slipping anywhere. The length of the string passed through the hand of the man while the cylinder reaches his hands is
supporting img

1 \(l\)
2 \(2 l\)
3 \(3 l\)
4 \(4 l\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366048 A ladder is leaned against a smooth wall and it is allowed to slip on a frictionless floor. The path followed by the \(CM\) is
supporting img

1 Straight line
2 Parabola
3 Hyperbola
4 Circular
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366049 A point \(P\) on the rim of wheel is initially at rest and in contact with the ground. Find the displacement of the point \(P\) if the radius of the wheel is \(5\;m\) and the wheel rolls forward through half a revolution

1 \(10\;\,m\)
2 \(5\;m\)
3 \(5\sqrt {\left( {{\pi ^2} + 4} \right)} m\)
4 \(2.5\;m\)
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366045 A system of identical cylinders and plates is as shown in the figure. All the cylinders are identical and there is no slipping at any contact. The velocity of lower and upper plates are \(v\) and \(2 v\), respectively, as shown in the figure. Then the ratio of angular speeds of the upper cylinders to lower cylinders is
supporting img

1 \(1 / 3\)
2 3
3 1
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366046 In rotational motion of a rigid body, all particles move with

1 Same linear & angular velocity
2 Same linear and different angular velocity
3 Different linear velocities and same angular velocities
4 Different linear velocities and different angular velocities
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366047 A string of negligible thickness is wrapped several times around a cylinder kept on a rough horizontal surface. A man standing at a distance \(l\) from the cylinder holds one end of the string and pulls the cylinder towards him. There is no slipping anywhere. The length of the string passed through the hand of the man while the cylinder reaches his hands is
supporting img

1 \(l\)
2 \(2 l\)
3 \(3 l\)
4 \(4 l\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366048 A ladder is leaned against a smooth wall and it is allowed to slip on a frictionless floor. The path followed by the \(CM\) is
supporting img

1 Straight line
2 Parabola
3 Hyperbola
4 Circular
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366049 A point \(P\) on the rim of wheel is initially at rest and in contact with the ground. Find the displacement of the point \(P\) if the radius of the wheel is \(5\;m\) and the wheel rolls forward through half a revolution

1 \(10\;\,m\)
2 \(5\;m\)
3 \(5\sqrt {\left( {{\pi ^2} + 4} \right)} m\)
4 \(2.5\;m\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366045 A system of identical cylinders and plates is as shown in the figure. All the cylinders are identical and there is no slipping at any contact. The velocity of lower and upper plates are \(v\) and \(2 v\), respectively, as shown in the figure. Then the ratio of angular speeds of the upper cylinders to lower cylinders is
supporting img

1 \(1 / 3\)
2 3
3 1
4 None of these
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366046 In rotational motion of a rigid body, all particles move with

1 Same linear & angular velocity
2 Same linear and different angular velocity
3 Different linear velocities and same angular velocities
4 Different linear velocities and different angular velocities
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366047 A string of negligible thickness is wrapped several times around a cylinder kept on a rough horizontal surface. A man standing at a distance \(l\) from the cylinder holds one end of the string and pulls the cylinder towards him. There is no slipping anywhere. The length of the string passed through the hand of the man while the cylinder reaches his hands is
supporting img

1 \(l\)
2 \(2 l\)
3 \(3 l\)
4 \(4 l\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366048 A ladder is leaned against a smooth wall and it is allowed to slip on a frictionless floor. The path followed by the \(CM\) is
supporting img

1 Straight line
2 Parabola
3 Hyperbola
4 Circular
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366049 A point \(P\) on the rim of wheel is initially at rest and in contact with the ground. Find the displacement of the point \(P\) if the radius of the wheel is \(5\;m\) and the wheel rolls forward through half a revolution

1 \(10\;\,m\)
2 \(5\;m\)
3 \(5\sqrt {\left( {{\pi ^2} + 4} \right)} m\)
4 \(2.5\;m\)