Circular Motion
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI05:LAWS OF MOTION

363197 A bead \(A\) can slide freely along a smooth rod bent in the form of a half circle of Radius \(R\). The system is set in rotation with a constant angular velocity \(\omega \) about a vertical axis \(OO\)’. Find the angle \(\theta \) corresponding to steady position of the bead.

1 \({\cos ^{ - 1}}\left( {\frac{{R{\omega ^2}}}{g}} \right)\)
2 \({\cos ^{ - 1}}\left( {\frac{g}{{R{\omega ^2}}}} \right)\)
3 \({\sin ^{ - 1}}\left( {\frac{g}{{R{\omega ^2}}}} \right)\)
4 \({\sin ^{ - 1}}\left( {\frac{{R{\omega ^2}}}{g}} \right)\)
PHXI05:LAWS OF MOTION

363198 A body of mass \(200\;g\) is tied to a spring of spring constant \(12.5\;N{\rm{/}}m\), while the other end of spring is fixed at a point \(O\). If the body moves about \(O\) in a circular path on a smooth horizontal surface with constant angular speed. Then the ratio of extension in the spring to its natural length will be

1 \(1: 2\)
2 \(2: 3\)
3 \(1: 1\)
4 \(2: 5\)
PHXI05:LAWS OF MOTION

363199 A moving train takes a turn. Here, we observe that:

1 The radius of curvature of outer rail will be greater than that of the inner rail
2 The radius of curvature of the inner rail will be greater than that of outer rail
3 The radius of curvature of one of the rails will be greater
4 The radius of curvature of the outer and inner rail will be the same
PHXI05:LAWS OF MOTION

363200 Assertion :
A cyclist always bends inwards while negotiating a curve.
Reason :
By bending, cyclist lowers his centre of gravity

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.
PHXI05:LAWS OF MOTION

363197 A bead \(A\) can slide freely along a smooth rod bent in the form of a half circle of Radius \(R\). The system is set in rotation with a constant angular velocity \(\omega \) about a vertical axis \(OO\)’. Find the angle \(\theta \) corresponding to steady position of the bead.

1 \({\cos ^{ - 1}}\left( {\frac{{R{\omega ^2}}}{g}} \right)\)
2 \({\cos ^{ - 1}}\left( {\frac{g}{{R{\omega ^2}}}} \right)\)
3 \({\sin ^{ - 1}}\left( {\frac{g}{{R{\omega ^2}}}} \right)\)
4 \({\sin ^{ - 1}}\left( {\frac{{R{\omega ^2}}}{g}} \right)\)
PHXI05:LAWS OF MOTION

363198 A body of mass \(200\;g\) is tied to a spring of spring constant \(12.5\;N{\rm{/}}m\), while the other end of spring is fixed at a point \(O\). If the body moves about \(O\) in a circular path on a smooth horizontal surface with constant angular speed. Then the ratio of extension in the spring to its natural length will be

1 \(1: 2\)
2 \(2: 3\)
3 \(1: 1\)
4 \(2: 5\)
PHXI05:LAWS OF MOTION

363199 A moving train takes a turn. Here, we observe that:

1 The radius of curvature of outer rail will be greater than that of the inner rail
2 The radius of curvature of the inner rail will be greater than that of outer rail
3 The radius of curvature of one of the rails will be greater
4 The radius of curvature of the outer and inner rail will be the same
PHXI05:LAWS OF MOTION

363200 Assertion :
A cyclist always bends inwards while negotiating a curve.
Reason :
By bending, cyclist lowers his centre of gravity

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.
PHXI05:LAWS OF MOTION

363197 A bead \(A\) can slide freely along a smooth rod bent in the form of a half circle of Radius \(R\). The system is set in rotation with a constant angular velocity \(\omega \) about a vertical axis \(OO\)’. Find the angle \(\theta \) corresponding to steady position of the bead.

1 \({\cos ^{ - 1}}\left( {\frac{{R{\omega ^2}}}{g}} \right)\)
2 \({\cos ^{ - 1}}\left( {\frac{g}{{R{\omega ^2}}}} \right)\)
3 \({\sin ^{ - 1}}\left( {\frac{g}{{R{\omega ^2}}}} \right)\)
4 \({\sin ^{ - 1}}\left( {\frac{{R{\omega ^2}}}{g}} \right)\)
PHXI05:LAWS OF MOTION

363198 A body of mass \(200\;g\) is tied to a spring of spring constant \(12.5\;N{\rm{/}}m\), while the other end of spring is fixed at a point \(O\). If the body moves about \(O\) in a circular path on a smooth horizontal surface with constant angular speed. Then the ratio of extension in the spring to its natural length will be

1 \(1: 2\)
2 \(2: 3\)
3 \(1: 1\)
4 \(2: 5\)
PHXI05:LAWS OF MOTION

363199 A moving train takes a turn. Here, we observe that:

1 The radius of curvature of outer rail will be greater than that of the inner rail
2 The radius of curvature of the inner rail will be greater than that of outer rail
3 The radius of curvature of one of the rails will be greater
4 The radius of curvature of the outer and inner rail will be the same
PHXI05:LAWS OF MOTION

363200 Assertion :
A cyclist always bends inwards while negotiating a curve.
Reason :
By bending, cyclist lowers his centre of gravity

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.
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI05:LAWS OF MOTION

363197 A bead \(A\) can slide freely along a smooth rod bent in the form of a half circle of Radius \(R\). The system is set in rotation with a constant angular velocity \(\omega \) about a vertical axis \(OO\)’. Find the angle \(\theta \) corresponding to steady position of the bead.

1 \({\cos ^{ - 1}}\left( {\frac{{R{\omega ^2}}}{g}} \right)\)
2 \({\cos ^{ - 1}}\left( {\frac{g}{{R{\omega ^2}}}} \right)\)
3 \({\sin ^{ - 1}}\left( {\frac{g}{{R{\omega ^2}}}} \right)\)
4 \({\sin ^{ - 1}}\left( {\frac{{R{\omega ^2}}}{g}} \right)\)
PHXI05:LAWS OF MOTION

363198 A body of mass \(200\;g\) is tied to a spring of spring constant \(12.5\;N{\rm{/}}m\), while the other end of spring is fixed at a point \(O\). If the body moves about \(O\) in a circular path on a smooth horizontal surface with constant angular speed. Then the ratio of extension in the spring to its natural length will be

1 \(1: 2\)
2 \(2: 3\)
3 \(1: 1\)
4 \(2: 5\)
PHXI05:LAWS OF MOTION

363199 A moving train takes a turn. Here, we observe that:

1 The radius of curvature of outer rail will be greater than that of the inner rail
2 The radius of curvature of the inner rail will be greater than that of outer rail
3 The radius of curvature of one of the rails will be greater
4 The radius of curvature of the outer and inner rail will be the same
PHXI05:LAWS OF MOTION

363200 Assertion :
A cyclist always bends inwards while negotiating a curve.
Reason :
By bending, cyclist lowers his centre of gravity

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.