Vertical Circular Motion
PHXI06:WORK ENERGY AND POWER

355736 A ball weighting 1.0 \(kg\) is tied to a string 15 \(cm\) long. Initially the ball is held in position such that the string is horizontal. The ball is now released. A nail \(N\) is situated vertically below the support at a distance \(L\). The minimum value of \(L\) such that the string will be wound round the nail is
supporting img

1 9 \(cm\)
2 15 \(cm\)
3 4 \(cm\)
4 None of these.
PHXI06:WORK ENERGY AND POWER

355737 A particle of mass \(m\) is projected is rotated in a vertical circle by connecting with a light thread of length \(l\). Find the minimum velocity tension in the string at the lowest position if it is projected with initial speed \(\sqrt{5 g l}\) at the lowest position

1 \(m g\)
2 \(5 m g\)
3 \(2 m g\)
4 \(6 m g\)
PHXI06:WORK ENERGY AND POWER

355738 A ball is released from rest at point \(A\). Find the minimum height \(h\) so that the ball just completes the circular motion. (All surfaces are smooth).
supporting img

1 \(h=\dfrac{5}{2} R\)
2 \(h=2 R\)
3 \(h=\dfrac{2}{5} R\)
4 \(h=3 R\)
PHXI06:WORK ENERGY AND POWER

355739 The bob of a pendulum was released from a horizontal position. The length of the pendulum is \(10\,m\) . If it dissipates \(10 \%\) of its initial energy against air resistance, the speed with which the bob arrives at the lowest point is
[Use, \(g = 10\;m{s^{ - 2}}\) ]

1 \(5\sqrt 5 \;m{s^{ - 1}}\)
2 \(2\sqrt 5 \;m{s^{ - 1}}\)
3 \(5\sqrt 6 \;m{s^{ - 1}}\)
4 \(6\sqrt 5 \;m{s^{ - 1}}\)
PHXI06:WORK ENERGY AND POWER

355736 A ball weighting 1.0 \(kg\) is tied to a string 15 \(cm\) long. Initially the ball is held in position such that the string is horizontal. The ball is now released. A nail \(N\) is situated vertically below the support at a distance \(L\). The minimum value of \(L\) such that the string will be wound round the nail is
supporting img

1 9 \(cm\)
2 15 \(cm\)
3 4 \(cm\)
4 None of these.
PHXI06:WORK ENERGY AND POWER

355737 A particle of mass \(m\) is projected is rotated in a vertical circle by connecting with a light thread of length \(l\). Find the minimum velocity tension in the string at the lowest position if it is projected with initial speed \(\sqrt{5 g l}\) at the lowest position

1 \(m g\)
2 \(5 m g\)
3 \(2 m g\)
4 \(6 m g\)
PHXI06:WORK ENERGY AND POWER

355738 A ball is released from rest at point \(A\). Find the minimum height \(h\) so that the ball just completes the circular motion. (All surfaces are smooth).
supporting img

1 \(h=\dfrac{5}{2} R\)
2 \(h=2 R\)
3 \(h=\dfrac{2}{5} R\)
4 \(h=3 R\)
PHXI06:WORK ENERGY AND POWER

355739 The bob of a pendulum was released from a horizontal position. The length of the pendulum is \(10\,m\) . If it dissipates \(10 \%\) of its initial energy against air resistance, the speed with which the bob arrives at the lowest point is
[Use, \(g = 10\;m{s^{ - 2}}\) ]

1 \(5\sqrt 5 \;m{s^{ - 1}}\)
2 \(2\sqrt 5 \;m{s^{ - 1}}\)
3 \(5\sqrt 6 \;m{s^{ - 1}}\)
4 \(6\sqrt 5 \;m{s^{ - 1}}\)
PHXI06:WORK ENERGY AND POWER

355736 A ball weighting 1.0 \(kg\) is tied to a string 15 \(cm\) long. Initially the ball is held in position such that the string is horizontal. The ball is now released. A nail \(N\) is situated vertically below the support at a distance \(L\). The minimum value of \(L\) such that the string will be wound round the nail is
supporting img

1 9 \(cm\)
2 15 \(cm\)
3 4 \(cm\)
4 None of these.
PHXI06:WORK ENERGY AND POWER

355737 A particle of mass \(m\) is projected is rotated in a vertical circle by connecting with a light thread of length \(l\). Find the minimum velocity tension in the string at the lowest position if it is projected with initial speed \(\sqrt{5 g l}\) at the lowest position

1 \(m g\)
2 \(5 m g\)
3 \(2 m g\)
4 \(6 m g\)
PHXI06:WORK ENERGY AND POWER

355738 A ball is released from rest at point \(A\). Find the minimum height \(h\) so that the ball just completes the circular motion. (All surfaces are smooth).
supporting img

1 \(h=\dfrac{5}{2} R\)
2 \(h=2 R\)
3 \(h=\dfrac{2}{5} R\)
4 \(h=3 R\)
PHXI06:WORK ENERGY AND POWER

355739 The bob of a pendulum was released from a horizontal position. The length of the pendulum is \(10\,m\) . If it dissipates \(10 \%\) of its initial energy against air resistance, the speed with which the bob arrives at the lowest point is
[Use, \(g = 10\;m{s^{ - 2}}\) ]

1 \(5\sqrt 5 \;m{s^{ - 1}}\)
2 \(2\sqrt 5 \;m{s^{ - 1}}\)
3 \(5\sqrt 6 \;m{s^{ - 1}}\)
4 \(6\sqrt 5 \;m{s^{ - 1}}\)
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PHXI06:WORK ENERGY AND POWER

355736 A ball weighting 1.0 \(kg\) is tied to a string 15 \(cm\) long. Initially the ball is held in position such that the string is horizontal. The ball is now released. A nail \(N\) is situated vertically below the support at a distance \(L\). The minimum value of \(L\) such that the string will be wound round the nail is
supporting img

1 9 \(cm\)
2 15 \(cm\)
3 4 \(cm\)
4 None of these.
PHXI06:WORK ENERGY AND POWER

355737 A particle of mass \(m\) is projected is rotated in a vertical circle by connecting with a light thread of length \(l\). Find the minimum velocity tension in the string at the lowest position if it is projected with initial speed \(\sqrt{5 g l}\) at the lowest position

1 \(m g\)
2 \(5 m g\)
3 \(2 m g\)
4 \(6 m g\)
PHXI06:WORK ENERGY AND POWER

355738 A ball is released from rest at point \(A\). Find the minimum height \(h\) so that the ball just completes the circular motion. (All surfaces are smooth).
supporting img

1 \(h=\dfrac{5}{2} R\)
2 \(h=2 R\)
3 \(h=\dfrac{2}{5} R\)
4 \(h=3 R\)
PHXI06:WORK ENERGY AND POWER

355739 The bob of a pendulum was released from a horizontal position. The length of the pendulum is \(10\,m\) . If it dissipates \(10 \%\) of its initial energy against air resistance, the speed with which the bob arrives at the lowest point is
[Use, \(g = 10\;m{s^{ - 2}}\) ]

1 \(5\sqrt 5 \;m{s^{ - 1}}\)
2 \(2\sqrt 5 \;m{s^{ - 1}}\)
3 \(5\sqrt 6 \;m{s^{ - 1}}\)
4 \(6\sqrt 5 \;m{s^{ - 1}}\)