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

366041 A small solid ball (mass \({=0.1 {~kg}}\)) rolls without slipping along the track shown in the figure. The radius of the circular track is \({R}\). If the ball starts from rest at a height \({8 R}\) above the bottom, the horizontal force acting on it at point \({P}\) is \({5 x}\) newton. Find the value of \({x}\) (Given, \({g=10 {~ms}^{-2}}\))
supporting img

1 1
2 7
3 2
4 5
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366042 A hoop of radius \(2\;m\) weights \(100\;kg\). It rolls along a horizontal floor so that its centre of mass has a speed of \(20\;cm\;{s^{ - 1}}\). How much work has to be done to stop it?

1 \(2\;J\)
2 \(4\;J\)
3 \(6\;J\)
4 \(8\;J\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366043 Assertion :
A body rolls down an inclined plane without slipping. The fraction of total energy associated with its rotation will depend on its radius of gyration.
Reason :
Total kinetic energy of rolling body is equal to addition of kinetic energy of rotation and kinetic energy of translation.

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

366044 A solid sphere rolls down from top of inclined plane \(7\;m\) high without slipping. Its linear speed at the foot of plane is \(\left( {g = 10\;m/{s^2}} \right)\)

1 \(\sqrt {70} \;m/s\)
2 \(\sqrt {\frac{{140}}{3}} m/s\)
3 \(\sqrt {\frac{{280}}{3}} m/s\)
4 \(\sqrt {100} \;m/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366041 A small solid ball (mass \({=0.1 {~kg}}\)) rolls without slipping along the track shown in the figure. The radius of the circular track is \({R}\). If the ball starts from rest at a height \({8 R}\) above the bottom, the horizontal force acting on it at point \({P}\) is \({5 x}\) newton. Find the value of \({x}\) (Given, \({g=10 {~ms}^{-2}}\))
supporting img

1 1
2 7
3 2
4 5
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366042 A hoop of radius \(2\;m\) weights \(100\;kg\). It rolls along a horizontal floor so that its centre of mass has a speed of \(20\;cm\;{s^{ - 1}}\). How much work has to be done to stop it?

1 \(2\;J\)
2 \(4\;J\)
3 \(6\;J\)
4 \(8\;J\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366043 Assertion :
A body rolls down an inclined plane without slipping. The fraction of total energy associated with its rotation will depend on its radius of gyration.
Reason :
Total kinetic energy of rolling body is equal to addition of kinetic energy of rotation and kinetic energy of translation.

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

366044 A solid sphere rolls down from top of inclined plane \(7\;m\) high without slipping. Its linear speed at the foot of plane is \(\left( {g = 10\;m/{s^2}} \right)\)

1 \(\sqrt {70} \;m/s\)
2 \(\sqrt {\frac{{140}}{3}} m/s\)
3 \(\sqrt {\frac{{280}}{3}} m/s\)
4 \(\sqrt {100} \;m/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366041 A small solid ball (mass \({=0.1 {~kg}}\)) rolls without slipping along the track shown in the figure. The radius of the circular track is \({R}\). If the ball starts from rest at a height \({8 R}\) above the bottom, the horizontal force acting on it at point \({P}\) is \({5 x}\) newton. Find the value of \({x}\) (Given, \({g=10 {~ms}^{-2}}\))
supporting img

1 1
2 7
3 2
4 5
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366042 A hoop of radius \(2\;m\) weights \(100\;kg\). It rolls along a horizontal floor so that its centre of mass has a speed of \(20\;cm\;{s^{ - 1}}\). How much work has to be done to stop it?

1 \(2\;J\)
2 \(4\;J\)
3 \(6\;J\)
4 \(8\;J\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366043 Assertion :
A body rolls down an inclined plane without slipping. The fraction of total energy associated with its rotation will depend on its radius of gyration.
Reason :
Total kinetic energy of rolling body is equal to addition of kinetic energy of rotation and kinetic energy of translation.

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

366044 A solid sphere rolls down from top of inclined plane \(7\;m\) high without slipping. Its linear speed at the foot of plane is \(\left( {g = 10\;m/{s^2}} \right)\)

1 \(\sqrt {70} \;m/s\)
2 \(\sqrt {\frac{{140}}{3}} m/s\)
3 \(\sqrt {\frac{{280}}{3}} m/s\)
4 \(\sqrt {100} \;m/s\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366041 A small solid ball (mass \({=0.1 {~kg}}\)) rolls without slipping along the track shown in the figure. The radius of the circular track is \({R}\). If the ball starts from rest at a height \({8 R}\) above the bottom, the horizontal force acting on it at point \({P}\) is \({5 x}\) newton. Find the value of \({x}\) (Given, \({g=10 {~ms}^{-2}}\))
supporting img

1 1
2 7
3 2
4 5
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366042 A hoop of radius \(2\;m\) weights \(100\;kg\). It rolls along a horizontal floor so that its centre of mass has a speed of \(20\;cm\;{s^{ - 1}}\). How much work has to be done to stop it?

1 \(2\;J\)
2 \(4\;J\)
3 \(6\;J\)
4 \(8\;J\)
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION

366043 Assertion :
A body rolls down an inclined plane without slipping. The fraction of total energy associated with its rotation will depend on its radius of gyration.
Reason :
Total kinetic energy of rolling body is equal to addition of kinetic energy of rotation and kinetic energy of translation.

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

366044 A solid sphere rolls down from top of inclined plane \(7\;m\) high without slipping. Its linear speed at the foot of plane is \(\left( {g = 10\;m/{s^2}} \right)\)

1 \(\sqrt {70} \;m/s\)
2 \(\sqrt {\frac{{140}}{3}} m/s\)
3 \(\sqrt {\frac{{280}}{3}} m/s\)
4 \(\sqrt {100} \;m/s\)