365998
Two solid discs of radii \(r\) and \(2r\) roll from the top of an inclined plane without slipping. Then
1 The time difference of reaching of the discs at the horizontal level will depend on the inclination of the plane.
2 Both the discs will reach at the same time
3 The bigger disc will reach the horizontal level first
4 The smaller disc will reach the horizontal level first
Explanation:
\(a = \frac{{g\sin \theta }}{{1 + \frac{{{I_{CM}}}}{{m{R^2}}}}} = \frac{{g\sin \theta }}{{1 + \frac{{{K^2}}}{{{R^2}}}}}\) For a given \(K\) is same for both the rings. So \(a\) is same and hence both will reach at the same time.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
365999
Statement A : A sphere cannot roll on a smooth inclined surface. Statement B : In pure translational motion at any instant of time, all particles of the body have the same velocity
1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
Explanation:
A sphere cannot roll on a smooth inclined plane, because force of friction is zero for smooth surface and in case of sphere friction provides the torque for rolling.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
366000
When a body rolls without sliding up an inclined plane, the frictional force is:
1 Zero
2 Dependent on its velocity
3 Directed up the plane
4 Direct down the plane
Explanation:
When a body is in pure rolling on an inclined plane then the friction always act upward.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
366001
Assertion : A wheel moving down a perfectly frictionless inclined plane will undergo slipping (not rolling motion). Reason : In above situation, torque by friction is absent.
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.
Explanation:
A wheel moving down a perfectly frictionless inclined plane will undergo slipping (not rolling motion) because there is no friction to provide the necessary torque for rolling. So correct option is (1).
365998
Two solid discs of radii \(r\) and \(2r\) roll from the top of an inclined plane without slipping. Then
1 The time difference of reaching of the discs at the horizontal level will depend on the inclination of the plane.
2 Both the discs will reach at the same time
3 The bigger disc will reach the horizontal level first
4 The smaller disc will reach the horizontal level first
Explanation:
\(a = \frac{{g\sin \theta }}{{1 + \frac{{{I_{CM}}}}{{m{R^2}}}}} = \frac{{g\sin \theta }}{{1 + \frac{{{K^2}}}{{{R^2}}}}}\) For a given \(K\) is same for both the rings. So \(a\) is same and hence both will reach at the same time.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
365999
Statement A : A sphere cannot roll on a smooth inclined surface. Statement B : In pure translational motion at any instant of time, all particles of the body have the same velocity
1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
Explanation:
A sphere cannot roll on a smooth inclined plane, because force of friction is zero for smooth surface and in case of sphere friction provides the torque for rolling.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
366000
When a body rolls without sliding up an inclined plane, the frictional force is:
1 Zero
2 Dependent on its velocity
3 Directed up the plane
4 Direct down the plane
Explanation:
When a body is in pure rolling on an inclined plane then the friction always act upward.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
366001
Assertion : A wheel moving down a perfectly frictionless inclined plane will undergo slipping (not rolling motion). Reason : In above situation, torque by friction is absent.
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.
Explanation:
A wheel moving down a perfectly frictionless inclined plane will undergo slipping (not rolling motion) because there is no friction to provide the necessary torque for rolling. So correct option is (1).
365998
Two solid discs of radii \(r\) and \(2r\) roll from the top of an inclined plane without slipping. Then
1 The time difference of reaching of the discs at the horizontal level will depend on the inclination of the plane.
2 Both the discs will reach at the same time
3 The bigger disc will reach the horizontal level first
4 The smaller disc will reach the horizontal level first
Explanation:
\(a = \frac{{g\sin \theta }}{{1 + \frac{{{I_{CM}}}}{{m{R^2}}}}} = \frac{{g\sin \theta }}{{1 + \frac{{{K^2}}}{{{R^2}}}}}\) For a given \(K\) is same for both the rings. So \(a\) is same and hence both will reach at the same time.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
365999
Statement A : A sphere cannot roll on a smooth inclined surface. Statement B : In pure translational motion at any instant of time, all particles of the body have the same velocity
1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
Explanation:
A sphere cannot roll on a smooth inclined plane, because force of friction is zero for smooth surface and in case of sphere friction provides the torque for rolling.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
366000
When a body rolls without sliding up an inclined plane, the frictional force is:
1 Zero
2 Dependent on its velocity
3 Directed up the plane
4 Direct down the plane
Explanation:
When a body is in pure rolling on an inclined plane then the friction always act upward.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
366001
Assertion : A wheel moving down a perfectly frictionless inclined plane will undergo slipping (not rolling motion). Reason : In above situation, torque by friction is absent.
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.
Explanation:
A wheel moving down a perfectly frictionless inclined plane will undergo slipping (not rolling motion) because there is no friction to provide the necessary torque for rolling. So correct option is (1).
NEET Test Series from KOTA - 10 Papers In MS WORD
WhatsApp Here
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
365998
Two solid discs of radii \(r\) and \(2r\) roll from the top of an inclined plane without slipping. Then
1 The time difference of reaching of the discs at the horizontal level will depend on the inclination of the plane.
2 Both the discs will reach at the same time
3 The bigger disc will reach the horizontal level first
4 The smaller disc will reach the horizontal level first
Explanation:
\(a = \frac{{g\sin \theta }}{{1 + \frac{{{I_{CM}}}}{{m{R^2}}}}} = \frac{{g\sin \theta }}{{1 + \frac{{{K^2}}}{{{R^2}}}}}\) For a given \(K\) is same for both the rings. So \(a\) is same and hence both will reach at the same time.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
365999
Statement A : A sphere cannot roll on a smooth inclined surface. Statement B : In pure translational motion at any instant of time, all particles of the body have the same velocity
1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
Explanation:
A sphere cannot roll on a smooth inclined plane, because force of friction is zero for smooth surface and in case of sphere friction provides the torque for rolling.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
366000
When a body rolls without sliding up an inclined plane, the frictional force is:
1 Zero
2 Dependent on its velocity
3 Directed up the plane
4 Direct down the plane
Explanation:
When a body is in pure rolling on an inclined plane then the friction always act upward.
PHXI07:SYSTEMS OF PARTICLES AND ROTATIONAL MOTION
366001
Assertion : A wheel moving down a perfectly frictionless inclined plane will undergo slipping (not rolling motion). Reason : In above situation, torque by friction is absent.
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.
Explanation:
A wheel moving down a perfectly frictionless inclined plane will undergo slipping (not rolling motion) because there is no friction to provide the necessary torque for rolling. So correct option is (1).
