MOTION IN A VERTICAL CIRCLE
Work, Energy and Power

268609 A motor car of mass \(m\) travels with a uniform speed \(v\) on a convex bridge of radius \(r\). When the car is at the middle point of the bridge, then the force exterted by the car on the bridge is

1 \(\mathrm{mg}\)
2 \(m g+\frac{m v^{2}}{r}\)
3 \(m g-\frac{m v^{2}}{r}\)
4 \(m g \pm \frac{m v^{2}}{r}\)
Work, Energy and Power

268610 A gramphone record is revolving with an angular velocity \(\omega\). A coin is placed at a distance \(R\) from the centre of the record. The static coefficient of friction is \(\mu\). The coin will revolve with the record if

1 \(R\lt \frac{\mu g}{\omega^{2}}\)
2 \(R=\frac{\mu g}{\omega^{2}}\) only
3 \(R<\frac{\mu g}{\omega^{2}}\)
4 \(R \leq \frac{\mu g}{\omega^{2}}\)
Work, Energy and Power

268611 A small sphere of mass ' \(m\) ' is attached to a cord and rotates in a vertical plane about a point \(O\). If the average speed of the sphere is increased, the cord is most likely to break at the orientation when the mass is at :

1 bottom point \(B\)
2 the point \(C\)
3 the point \(D\)
4 top point A
Work, Energy and Power

268612 A car is moving up with uniform speed along a fly over bridge which is part of a vertical circle. The true statement from the following is

1 Normal reaction on the car gradually decreases and becomes minimum at highest position of bridge
2 Normal reaction on the car gradually increases and becomes maximum at highest position
3 Normal reaction on car does not change
4 Normal reaction on the car gradually decreases and becomes zero at highest position
Work, Energy and Power

268613 A bottle of soda water is rotated in a vertical circle with the neck held in hand. The air bubbles are collected

1 near the neck
2 near the bottom
3 at the middle
4 uniformly in the bottle
Work, Energy and Power

268609 A motor car of mass \(m\) travels with a uniform speed \(v\) on a convex bridge of radius \(r\). When the car is at the middle point of the bridge, then the force exterted by the car on the bridge is

1 \(\mathrm{mg}\)
2 \(m g+\frac{m v^{2}}{r}\)
3 \(m g-\frac{m v^{2}}{r}\)
4 \(m g \pm \frac{m v^{2}}{r}\)
Work, Energy and Power

268610 A gramphone record is revolving with an angular velocity \(\omega\). A coin is placed at a distance \(R\) from the centre of the record. The static coefficient of friction is \(\mu\). The coin will revolve with the record if

1 \(R\lt \frac{\mu g}{\omega^{2}}\)
2 \(R=\frac{\mu g}{\omega^{2}}\) only
3 \(R<\frac{\mu g}{\omega^{2}}\)
4 \(R \leq \frac{\mu g}{\omega^{2}}\)
Work, Energy and Power

268611 A small sphere of mass ' \(m\) ' is attached to a cord and rotates in a vertical plane about a point \(O\). If the average speed of the sphere is increased, the cord is most likely to break at the orientation when the mass is at :

1 bottom point \(B\)
2 the point \(C\)
3 the point \(D\)
4 top point A
Work, Energy and Power

268612 A car is moving up with uniform speed along a fly over bridge which is part of a vertical circle. The true statement from the following is

1 Normal reaction on the car gradually decreases and becomes minimum at highest position of bridge
2 Normal reaction on the car gradually increases and becomes maximum at highest position
3 Normal reaction on car does not change
4 Normal reaction on the car gradually decreases and becomes zero at highest position
Work, Energy and Power

268613 A bottle of soda water is rotated in a vertical circle with the neck held in hand. The air bubbles are collected

1 near the neck
2 near the bottom
3 at the middle
4 uniformly in the bottle
Work, Energy and Power

268609 A motor car of mass \(m\) travels with a uniform speed \(v\) on a convex bridge of radius \(r\). When the car is at the middle point of the bridge, then the force exterted by the car on the bridge is

1 \(\mathrm{mg}\)
2 \(m g+\frac{m v^{2}}{r}\)
3 \(m g-\frac{m v^{2}}{r}\)
4 \(m g \pm \frac{m v^{2}}{r}\)
Work, Energy and Power

268610 A gramphone record is revolving with an angular velocity \(\omega\). A coin is placed at a distance \(R\) from the centre of the record. The static coefficient of friction is \(\mu\). The coin will revolve with the record if

1 \(R\lt \frac{\mu g}{\omega^{2}}\)
2 \(R=\frac{\mu g}{\omega^{2}}\) only
3 \(R<\frac{\mu g}{\omega^{2}}\)
4 \(R \leq \frac{\mu g}{\omega^{2}}\)
Work, Energy and Power

268611 A small sphere of mass ' \(m\) ' is attached to a cord and rotates in a vertical plane about a point \(O\). If the average speed of the sphere is increased, the cord is most likely to break at the orientation when the mass is at :

1 bottom point \(B\)
2 the point \(C\)
3 the point \(D\)
4 top point A
Work, Energy and Power

268612 A car is moving up with uniform speed along a fly over bridge which is part of a vertical circle. The true statement from the following is

1 Normal reaction on the car gradually decreases and becomes minimum at highest position of bridge
2 Normal reaction on the car gradually increases and becomes maximum at highest position
3 Normal reaction on car does not change
4 Normal reaction on the car gradually decreases and becomes zero at highest position
Work, Energy and Power

268613 A bottle of soda water is rotated in a vertical circle with the neck held in hand. The air bubbles are collected

1 near the neck
2 near the bottom
3 at the middle
4 uniformly in the bottle
Work, Energy and Power

268609 A motor car of mass \(m\) travels with a uniform speed \(v\) on a convex bridge of radius \(r\). When the car is at the middle point of the bridge, then the force exterted by the car on the bridge is

1 \(\mathrm{mg}\)
2 \(m g+\frac{m v^{2}}{r}\)
3 \(m g-\frac{m v^{2}}{r}\)
4 \(m g \pm \frac{m v^{2}}{r}\)
Work, Energy and Power

268610 A gramphone record is revolving with an angular velocity \(\omega\). A coin is placed at a distance \(R\) from the centre of the record. The static coefficient of friction is \(\mu\). The coin will revolve with the record if

1 \(R\lt \frac{\mu g}{\omega^{2}}\)
2 \(R=\frac{\mu g}{\omega^{2}}\) only
3 \(R<\frac{\mu g}{\omega^{2}}\)
4 \(R \leq \frac{\mu g}{\omega^{2}}\)
Work, Energy and Power

268611 A small sphere of mass ' \(m\) ' is attached to a cord and rotates in a vertical plane about a point \(O\). If the average speed of the sphere is increased, the cord is most likely to break at the orientation when the mass is at :

1 bottom point \(B\)
2 the point \(C\)
3 the point \(D\)
4 top point A
Work, Energy and Power

268612 A car is moving up with uniform speed along a fly over bridge which is part of a vertical circle. The true statement from the following is

1 Normal reaction on the car gradually decreases and becomes minimum at highest position of bridge
2 Normal reaction on the car gradually increases and becomes maximum at highest position
3 Normal reaction on car does not change
4 Normal reaction on the car gradually decreases and becomes zero at highest position
Work, Energy and Power

268613 A bottle of soda water is rotated in a vertical circle with the neck held in hand. The air bubbles are collected

1 near the neck
2 near the bottom
3 at the middle
4 uniformly in the bottle
Work, Energy and Power

268609 A motor car of mass \(m\) travels with a uniform speed \(v\) on a convex bridge of radius \(r\). When the car is at the middle point of the bridge, then the force exterted by the car on the bridge is

1 \(\mathrm{mg}\)
2 \(m g+\frac{m v^{2}}{r}\)
3 \(m g-\frac{m v^{2}}{r}\)
4 \(m g \pm \frac{m v^{2}}{r}\)
Work, Energy and Power

268610 A gramphone record is revolving with an angular velocity \(\omega\). A coin is placed at a distance \(R\) from the centre of the record. The static coefficient of friction is \(\mu\). The coin will revolve with the record if

1 \(R\lt \frac{\mu g}{\omega^{2}}\)
2 \(R=\frac{\mu g}{\omega^{2}}\) only
3 \(R<\frac{\mu g}{\omega^{2}}\)
4 \(R \leq \frac{\mu g}{\omega^{2}}\)
Work, Energy and Power

268611 A small sphere of mass ' \(m\) ' is attached to a cord and rotates in a vertical plane about a point \(O\). If the average speed of the sphere is increased, the cord is most likely to break at the orientation when the mass is at :

1 bottom point \(B\)
2 the point \(C\)
3 the point \(D\)
4 top point A
Work, Energy and Power

268612 A car is moving up with uniform speed along a fly over bridge which is part of a vertical circle. The true statement from the following is

1 Normal reaction on the car gradually decreases and becomes minimum at highest position of bridge
2 Normal reaction on the car gradually increases and becomes maximum at highest position
3 Normal reaction on car does not change
4 Normal reaction on the car gradually decreases and becomes zero at highest position
Work, Energy and Power

268613 A bottle of soda water is rotated in a vertical circle with the neck held in hand. The air bubbles are collected

1 near the neck
2 near the bottom
3 at the middle
4 uniformly in the bottle