Circular Motion
PHXI05:LAWS OF MOTION

363206 A coin is placed on a disc. The coefficient of friction between the coin and the disc is \(\mu\). If the distance of the coin from the center of the disc is \(r,\) the maximum angular velocity which can be given to the disc, so that the coin does not slip away is

1 \(\dfrac{\mu}{\sqrt{r g}}\)
2 \(\sqrt{\dfrac{r}{\mu g}}\)
3 \(\dfrac{\mu g}{r}\)
4 \(\sqrt{\dfrac{\mu g}{r}}\)
PHXI05:LAWS OF MOTION

363207 A stone of mass \(1\;kg\) is tied to end of a massless string of length \(1\;m\). If the breaking tension of the string is \(400\;N\), then maximum linear velocity, the stone can have without breaking the string, while rotating in horizontal plane, is

1 \(10\;m{s^{ - 1}}\)
2 \(20\;m{s^{ - 1}}\)
3 \(400\;m{s^{ - 1}}\)
4 \(40\;m{s^{ - 1}}\)
PHXI05:LAWS OF MOTION

363208 A small ring \(P\) is threaded on a smooth wire bent in the form of a circle of radius \(a\) and center \(O\). The wire is rotating with constant angular speed \(\omega \) about a vertical diameter \(XY\), while the ring remains at rest relative to the wire at a distance \(a\)/2 from \(XY\). Then \({\omega ^2}\) is equal to
supporting img

1 \(\frac{{2\,g}}{a}\)
2 \(\frac{g}{{2\,a}}\)
3 \(\frac{{2\,g}}{{a\sqrt 3 }}\)
4 \(\frac{{g\sqrt 3 }}{{2\,a}}\)
PHXI05:LAWS OF MOTION

363209 A ball of mass \((m)0.5\;kg\) is attached to the end of a string having length \((L)0.5\;m\). The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is \(324\,N\). The maximum possible value of angular velocity of ball (in radian/s) is
supporting img

1 9
2 18
3 27
4 36
PHXI05:LAWS OF MOTION

363206 A coin is placed on a disc. The coefficient of friction between the coin and the disc is \(\mu\). If the distance of the coin from the center of the disc is \(r,\) the maximum angular velocity which can be given to the disc, so that the coin does not slip away is

1 \(\dfrac{\mu}{\sqrt{r g}}\)
2 \(\sqrt{\dfrac{r}{\mu g}}\)
3 \(\dfrac{\mu g}{r}\)
4 \(\sqrt{\dfrac{\mu g}{r}}\)
PHXI05:LAWS OF MOTION

363207 A stone of mass \(1\;kg\) is tied to end of a massless string of length \(1\;m\). If the breaking tension of the string is \(400\;N\), then maximum linear velocity, the stone can have without breaking the string, while rotating in horizontal plane, is

1 \(10\;m{s^{ - 1}}\)
2 \(20\;m{s^{ - 1}}\)
3 \(400\;m{s^{ - 1}}\)
4 \(40\;m{s^{ - 1}}\)
PHXI05:LAWS OF MOTION

363208 A small ring \(P\) is threaded on a smooth wire bent in the form of a circle of radius \(a\) and center \(O\). The wire is rotating with constant angular speed \(\omega \) about a vertical diameter \(XY\), while the ring remains at rest relative to the wire at a distance \(a\)/2 from \(XY\). Then \({\omega ^2}\) is equal to
supporting img

1 \(\frac{{2\,g}}{a}\)
2 \(\frac{g}{{2\,a}}\)
3 \(\frac{{2\,g}}{{a\sqrt 3 }}\)
4 \(\frac{{g\sqrt 3 }}{{2\,a}}\)
PHXI05:LAWS OF MOTION

363209 A ball of mass \((m)0.5\;kg\) is attached to the end of a string having length \((L)0.5\;m\). The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is \(324\,N\). The maximum possible value of angular velocity of ball (in radian/s) is
supporting img

1 9
2 18
3 27
4 36
PHXI05:LAWS OF MOTION

363206 A coin is placed on a disc. The coefficient of friction between the coin and the disc is \(\mu\). If the distance of the coin from the center of the disc is \(r,\) the maximum angular velocity which can be given to the disc, so that the coin does not slip away is

1 \(\dfrac{\mu}{\sqrt{r g}}\)
2 \(\sqrt{\dfrac{r}{\mu g}}\)
3 \(\dfrac{\mu g}{r}\)
4 \(\sqrt{\dfrac{\mu g}{r}}\)
PHXI05:LAWS OF MOTION

363207 A stone of mass \(1\;kg\) is tied to end of a massless string of length \(1\;m\). If the breaking tension of the string is \(400\;N\), then maximum linear velocity, the stone can have without breaking the string, while rotating in horizontal plane, is

1 \(10\;m{s^{ - 1}}\)
2 \(20\;m{s^{ - 1}}\)
3 \(400\;m{s^{ - 1}}\)
4 \(40\;m{s^{ - 1}}\)
PHXI05:LAWS OF MOTION

363208 A small ring \(P\) is threaded on a smooth wire bent in the form of a circle of radius \(a\) and center \(O\). The wire is rotating with constant angular speed \(\omega \) about a vertical diameter \(XY\), while the ring remains at rest relative to the wire at a distance \(a\)/2 from \(XY\). Then \({\omega ^2}\) is equal to
supporting img

1 \(\frac{{2\,g}}{a}\)
2 \(\frac{g}{{2\,a}}\)
3 \(\frac{{2\,g}}{{a\sqrt 3 }}\)
4 \(\frac{{g\sqrt 3 }}{{2\,a}}\)
PHXI05:LAWS OF MOTION

363209 A ball of mass \((m)0.5\;kg\) is attached to the end of a string having length \((L)0.5\;m\). The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is \(324\,N\). The maximum possible value of angular velocity of ball (in radian/s) is
supporting img

1 9
2 18
3 27
4 36
PHXI05:LAWS OF MOTION

363206 A coin is placed on a disc. The coefficient of friction between the coin and the disc is \(\mu\). If the distance of the coin from the center of the disc is \(r,\) the maximum angular velocity which can be given to the disc, so that the coin does not slip away is

1 \(\dfrac{\mu}{\sqrt{r g}}\)
2 \(\sqrt{\dfrac{r}{\mu g}}\)
3 \(\dfrac{\mu g}{r}\)
4 \(\sqrt{\dfrac{\mu g}{r}}\)
PHXI05:LAWS OF MOTION

363207 A stone of mass \(1\;kg\) is tied to end of a massless string of length \(1\;m\). If the breaking tension of the string is \(400\;N\), then maximum linear velocity, the stone can have without breaking the string, while rotating in horizontal plane, is

1 \(10\;m{s^{ - 1}}\)
2 \(20\;m{s^{ - 1}}\)
3 \(400\;m{s^{ - 1}}\)
4 \(40\;m{s^{ - 1}}\)
PHXI05:LAWS OF MOTION

363208 A small ring \(P\) is threaded on a smooth wire bent in the form of a circle of radius \(a\) and center \(O\). The wire is rotating with constant angular speed \(\omega \) about a vertical diameter \(XY\), while the ring remains at rest relative to the wire at a distance \(a\)/2 from \(XY\). Then \({\omega ^2}\) is equal to
supporting img

1 \(\frac{{2\,g}}{a}\)
2 \(\frac{g}{{2\,a}}\)
3 \(\frac{{2\,g}}{{a\sqrt 3 }}\)
4 \(\frac{{g\sqrt 3 }}{{2\,a}}\)
PHXI05:LAWS OF MOTION

363209 A ball of mass \((m)0.5\;kg\) is attached to the end of a string having length \((L)0.5\;m\). The ball is rotated on a horizontal circular path about vertical axis. The maximum tension that the string can bear is \(324\,N\). The maximum possible value of angular velocity of ball (in radian/s) is
supporting img

1 9
2 18
3 27
4 36