Rigid Body Constraints
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366058 A small wheel fixed coaxially on a bigger one of double the radius. The system rotates about the common axis. The strings supporting A and B do not slip on the wheels. If \(\mathrm{x}\) and \(\mathrm{y}\) are the distances travelled by A and B in the same time interval, then
supporting img

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

366059 A ring is in pure rolling on a horizontal surface with linear and angular accelerations \(a\) and \(\alpha\) respectively. The relation between \(a\) and \(\alpha\) is
supporting img

1 \(a=R \alpha\)
2 \(a=2 R \alpha\)
3 \(a>R \alpha\)
4 \(a=\dfrac{\alpha}{R}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366060 A sphere of radius \(2\;m\) rolls on a plank without slipping. The acceleration of the sphere and the plank are indicated. The value of \(\alpha\) is
supporting img

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

366061 End of a rod \(A B\) is being pulled on the floor with a constant velocity \(v_{0}\) as shown in the figure. Taking the length of the rod as \(l\), at an instant when the rod makes an angle \(37^{\circ}\) with the horizontal, calculate the velocity of end \(B\)
supporting img

1 \(\dfrac{5}{4} v_{0}\)
2 \(\dfrac{3}{5} v_{0}\)
3 \(\dfrac{4}{3} v_{0}\)
4 \(\dfrac{5}{3} v_{0}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366062 A cylinder is in pure rolling on an incline plane as shown in the figure. The correct relation between the velocities of the four points shown is
supporting img

1 All of them are same
2 All of them are different
3 \(P_{1}\) and \(P_{2}\) are same but \({P_3}\,\,\& \,\,{P_4}\) are different
4 \(P_{1}\) and \(P_{3}\) are same but \({P_2}\,\,\& \,\,{P_4}\) are different
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366058 A small wheel fixed coaxially on a bigger one of double the radius. The system rotates about the common axis. The strings supporting A and B do not slip on the wheels. If \(\mathrm{x}\) and \(\mathrm{y}\) are the distances travelled by A and B in the same time interval, then
supporting img

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

366059 A ring is in pure rolling on a horizontal surface with linear and angular accelerations \(a\) and \(\alpha\) respectively. The relation between \(a\) and \(\alpha\) is
supporting img

1 \(a=R \alpha\)
2 \(a=2 R \alpha\)
3 \(a>R \alpha\)
4 \(a=\dfrac{\alpha}{R}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366060 A sphere of radius \(2\;m\) rolls on a plank without slipping. The acceleration of the sphere and the plank are indicated. The value of \(\alpha\) is
supporting img

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

366061 End of a rod \(A B\) is being pulled on the floor with a constant velocity \(v_{0}\) as shown in the figure. Taking the length of the rod as \(l\), at an instant when the rod makes an angle \(37^{\circ}\) with the horizontal, calculate the velocity of end \(B\)
supporting img

1 \(\dfrac{5}{4} v_{0}\)
2 \(\dfrac{3}{5} v_{0}\)
3 \(\dfrac{4}{3} v_{0}\)
4 \(\dfrac{5}{3} v_{0}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366062 A cylinder is in pure rolling on an incline plane as shown in the figure. The correct relation between the velocities of the four points shown is
supporting img

1 All of them are same
2 All of them are different
3 \(P_{1}\) and \(P_{2}\) are same but \({P_3}\,\,\& \,\,{P_4}\) are different
4 \(P_{1}\) and \(P_{3}\) are same but \({P_2}\,\,\& \,\,{P_4}\) are different
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366058 A small wheel fixed coaxially on a bigger one of double the radius. The system rotates about the common axis. The strings supporting A and B do not slip on the wheels. If \(\mathrm{x}\) and \(\mathrm{y}\) are the distances travelled by A and B in the same time interval, then
supporting img

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

366059 A ring is in pure rolling on a horizontal surface with linear and angular accelerations \(a\) and \(\alpha\) respectively. The relation between \(a\) and \(\alpha\) is
supporting img

1 \(a=R \alpha\)
2 \(a=2 R \alpha\)
3 \(a>R \alpha\)
4 \(a=\dfrac{\alpha}{R}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366060 A sphere of radius \(2\;m\) rolls on a plank without slipping. The acceleration of the sphere and the plank are indicated. The value of \(\alpha\) is
supporting img

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

366061 End of a rod \(A B\) is being pulled on the floor with a constant velocity \(v_{0}\) as shown in the figure. Taking the length of the rod as \(l\), at an instant when the rod makes an angle \(37^{\circ}\) with the horizontal, calculate the velocity of end \(B\)
supporting img

1 \(\dfrac{5}{4} v_{0}\)
2 \(\dfrac{3}{5} v_{0}\)
3 \(\dfrac{4}{3} v_{0}\)
4 \(\dfrac{5}{3} v_{0}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366062 A cylinder is in pure rolling on an incline plane as shown in the figure. The correct relation between the velocities of the four points shown is
supporting img

1 All of them are same
2 All of them are different
3 \(P_{1}\) and \(P_{2}\) are same but \({P_3}\,\,\& \,\,{P_4}\) are different
4 \(P_{1}\) and \(P_{3}\) are same but \({P_2}\,\,\& \,\,{P_4}\) are different
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PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366058 A small wheel fixed coaxially on a bigger one of double the radius. The system rotates about the common axis. The strings supporting A and B do not slip on the wheels. If \(\mathrm{x}\) and \(\mathrm{y}\) are the distances travelled by A and B in the same time interval, then
supporting img

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

366059 A ring is in pure rolling on a horizontal surface with linear and angular accelerations \(a\) and \(\alpha\) respectively. The relation between \(a\) and \(\alpha\) is
supporting img

1 \(a=R \alpha\)
2 \(a=2 R \alpha\)
3 \(a>R \alpha\)
4 \(a=\dfrac{\alpha}{R}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366060 A sphere of radius \(2\;m\) rolls on a plank without slipping. The acceleration of the sphere and the plank are indicated. The value of \(\alpha\) is
supporting img

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

366061 End of a rod \(A B\) is being pulled on the floor with a constant velocity \(v_{0}\) as shown in the figure. Taking the length of the rod as \(l\), at an instant when the rod makes an angle \(37^{\circ}\) with the horizontal, calculate the velocity of end \(B\)
supporting img

1 \(\dfrac{5}{4} v_{0}\)
2 \(\dfrac{3}{5} v_{0}\)
3 \(\dfrac{4}{3} v_{0}\)
4 \(\dfrac{5}{3} v_{0}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366062 A cylinder is in pure rolling on an incline plane as shown in the figure. The correct relation between the velocities of the four points shown is
supporting img

1 All of them are same
2 All of them are different
3 \(P_{1}\) and \(P_{2}\) are same but \({P_3}\,\,\& \,\,{P_4}\) are different
4 \(P_{1}\) and \(P_{3}\) are same but \({P_2}\,\,\& \,\,{P_4}\) are different
Join With Us for More Updates
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366058 A small wheel fixed coaxially on a bigger one of double the radius. The system rotates about the common axis. The strings supporting A and B do not slip on the wheels. If \(\mathrm{x}\) and \(\mathrm{y}\) are the distances travelled by A and B in the same time interval, then
supporting img

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

366059 A ring is in pure rolling on a horizontal surface with linear and angular accelerations \(a\) and \(\alpha\) respectively. The relation between \(a\) and \(\alpha\) is
supporting img

1 \(a=R \alpha\)
2 \(a=2 R \alpha\)
3 \(a>R \alpha\)
4 \(a=\dfrac{\alpha}{R}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366060 A sphere of radius \(2\;m\) rolls on a plank without slipping. The acceleration of the sphere and the plank are indicated. The value of \(\alpha\) is
supporting img

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

366061 End of a rod \(A B\) is being pulled on the floor with a constant velocity \(v_{0}\) as shown in the figure. Taking the length of the rod as \(l\), at an instant when the rod makes an angle \(37^{\circ}\) with the horizontal, calculate the velocity of end \(B\)
supporting img

1 \(\dfrac{5}{4} v_{0}\)
2 \(\dfrac{3}{5} v_{0}\)
3 \(\dfrac{4}{3} v_{0}\)
4 \(\dfrac{5}{3} v_{0}\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366062 A cylinder is in pure rolling on an incline plane as shown in the figure. The correct relation between the velocities of the four points shown is
supporting img

1 All of them are same
2 All of them are different
3 \(P_{1}\) and \(P_{2}\) are same but \({P_3}\,\,\& \,\,{P_4}\) are different
4 \(P_{1}\) and \(P_{3}\) are same but \({P_2}\,\,\& \,\,{P_4}\) are different