04. Equilibrium of Rigid Body
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Rotational Motion

150285 A rod \(A B\) of length \(1 \mathrm{~m}\) is placed at the edge of a smooth table as shown. It is hit horizontally at point ' \(B\) '. If the displacement of centre of mass in \(1 \mathrm{~s}\) is \(5 \sqrt{2} \mathrm{~m}\), the angular velocity of \(\operatorname{rod}\) is
original image

1 ) \(30 \mathrm{rad} . \mathrm{s}^{-1}\)
2 ) 20 rad.s \({ }^{-1}\)
3 ) 10 rad.s \({ }^{-1}\)
4 ) 5 rad.s \({ }^{-1}\)
AP EAMCET-23.08.2021
Rotational Motion

150286 A body of mass \(2.5 \mathrm{~kg}\) is thrown vertically upwards with a kinetic energy of \(500 \mathrm{~J}\). The height at which the kinetic energy of the body reduces to \(50 \%\) of its original value is (g \(=10 \mathrm{~m} . \mathrm{s}^{-2}\)

1 ) \(10 \mathrm{~m}\)
2 ) \(12.5 \mathrm{~m}\)
3 ) \(25 \mathrm{~m}\)
4 ) \(50 \mathrm{~m}\)
AP EAMCET-05.10.2021
Rotational Motion

150287 A uniform cylinder of radius \(1 \mathrm{~m}\), mass \(1 \mathrm{~kg}\) spins about its axis with an angular velocity \(20 \mathrm{rad} / \mathrm{s}\). At certain moment, the cylinder is placed into a corner as shown in the figure. The coefficient of friction between the horizontal wall and the cylinder is \(\mu\) whereas the vertical wall is frictionless. If the number of rounds made by the cylinder is 5 before it stops, then the value \(\mu\) is
(acceleration due to gravity, \(\mathrm{g}=\mathbf{1 0} \mathrm{m} / \mathrm{s}^{\mathbf{2}}\)

1 ) \(\frac{3}{\pi}\)
2 ) \(\frac{2}{\pi}\)
3 ) \(\frac{1}{\pi}\)
4 ) \(\frac{0.4}{\pi}\)
TS- EAMCET-05.05.2018
Rotational Motion

150288 A uniform cube of side a and mass \(m\) rests on a rough horizontal table. A horizontal force \(F\) is applied normal to one of the faces at a point that is directly above the centre of the face, at a height \(3 a / 4\) above the base. The minimum value of \(F\) for which the cube begins to topple an edge is (assume that cube does not slide)

1 ) \(\frac{\mathrm{mg}}{3}\)
2 ) \(\frac{\mathrm{mg}}{2}\)
3 ) \(\frac{2 \mathrm{mg}}{3}\)
4 ) \(\frac{3 \mathrm{mg}}{4}\)
BITSAT-2009
Rotational Motion

150289 An equilateral prism of mass \(m\) rests on a rough horizontal surface with coefficient of friction \(\mu\). A horizontal force \(F\) is applied on the prism as shown in the figure. If the coefficient of friction is sufficiently high so that the prism does not slide before toppling, then the minimum force required to topple the prism is-
original image

1 ) \(\frac{\mathrm{mg}}{\sqrt{3}}\)
2 ) \(\frac{\mathrm{mg}}{4}\)
3 ) \(\frac{\mu \mathrm{mg}}{\sqrt{3}}\)
4 ) \(\frac{\mu \mathrm{mg}}{4}\)
BITSAT-2014
NEET DIGITAL LIBRARY
Rotational Motion

150285 A rod \(A B\) of length \(1 \mathrm{~m}\) is placed at the edge of a smooth table as shown. It is hit horizontally at point ' \(B\) '. If the displacement of centre of mass in \(1 \mathrm{~s}\) is \(5 \sqrt{2} \mathrm{~m}\), the angular velocity of \(\operatorname{rod}\) is
original image

1 ) \(30 \mathrm{rad} . \mathrm{s}^{-1}\)
2 ) 20 rad.s \({ }^{-1}\)
3 ) 10 rad.s \({ }^{-1}\)
4 ) 5 rad.s \({ }^{-1}\)
AP EAMCET-23.08.2021
Rotational Motion

150286 A body of mass \(2.5 \mathrm{~kg}\) is thrown vertically upwards with a kinetic energy of \(500 \mathrm{~J}\). The height at which the kinetic energy of the body reduces to \(50 \%\) of its original value is (g \(=10 \mathrm{~m} . \mathrm{s}^{-2}\)

1 ) \(10 \mathrm{~m}\)
2 ) \(12.5 \mathrm{~m}\)
3 ) \(25 \mathrm{~m}\)
4 ) \(50 \mathrm{~m}\)
AP EAMCET-05.10.2021
Rotational Motion

150287 A uniform cylinder of radius \(1 \mathrm{~m}\), mass \(1 \mathrm{~kg}\) spins about its axis with an angular velocity \(20 \mathrm{rad} / \mathrm{s}\). At certain moment, the cylinder is placed into a corner as shown in the figure. The coefficient of friction between the horizontal wall and the cylinder is \(\mu\) whereas the vertical wall is frictionless. If the number of rounds made by the cylinder is 5 before it stops, then the value \(\mu\) is
(acceleration due to gravity, \(\mathrm{g}=\mathbf{1 0} \mathrm{m} / \mathrm{s}^{\mathbf{2}}\)

1 ) \(\frac{3}{\pi}\)
2 ) \(\frac{2}{\pi}\)
3 ) \(\frac{1}{\pi}\)
4 ) \(\frac{0.4}{\pi}\)
TS- EAMCET-05.05.2018
Rotational Motion

150288 A uniform cube of side a and mass \(m\) rests on a rough horizontal table. A horizontal force \(F\) is applied normal to one of the faces at a point that is directly above the centre of the face, at a height \(3 a / 4\) above the base. The minimum value of \(F\) for which the cube begins to topple an edge is (assume that cube does not slide)

1 ) \(\frac{\mathrm{mg}}{3}\)
2 ) \(\frac{\mathrm{mg}}{2}\)
3 ) \(\frac{2 \mathrm{mg}}{3}\)
4 ) \(\frac{3 \mathrm{mg}}{4}\)
BITSAT-2009
Rotational Motion

150289 An equilateral prism of mass \(m\) rests on a rough horizontal surface with coefficient of friction \(\mu\). A horizontal force \(F\) is applied on the prism as shown in the figure. If the coefficient of friction is sufficiently high so that the prism does not slide before toppling, then the minimum force required to topple the prism is-
original image

1 ) \(\frac{\mathrm{mg}}{\sqrt{3}}\)
2 ) \(\frac{\mathrm{mg}}{4}\)
3 ) \(\frac{\mu \mathrm{mg}}{\sqrt{3}}\)
4 ) \(\frac{\mu \mathrm{mg}}{4}\)
BITSAT-2014
Join With Us for More Updates
Rotational Motion

150285 A rod \(A B\) of length \(1 \mathrm{~m}\) is placed at the edge of a smooth table as shown. It is hit horizontally at point ' \(B\) '. If the displacement of centre of mass in \(1 \mathrm{~s}\) is \(5 \sqrt{2} \mathrm{~m}\), the angular velocity of \(\operatorname{rod}\) is
original image

1 ) \(30 \mathrm{rad} . \mathrm{s}^{-1}\)
2 ) 20 rad.s \({ }^{-1}\)
3 ) 10 rad.s \({ }^{-1}\)
4 ) 5 rad.s \({ }^{-1}\)
AP EAMCET-23.08.2021
Rotational Motion

150286 A body of mass \(2.5 \mathrm{~kg}\) is thrown vertically upwards with a kinetic energy of \(500 \mathrm{~J}\). The height at which the kinetic energy of the body reduces to \(50 \%\) of its original value is (g \(=10 \mathrm{~m} . \mathrm{s}^{-2}\)

1 ) \(10 \mathrm{~m}\)
2 ) \(12.5 \mathrm{~m}\)
3 ) \(25 \mathrm{~m}\)
4 ) \(50 \mathrm{~m}\)
AP EAMCET-05.10.2021
Rotational Motion

150287 A uniform cylinder of radius \(1 \mathrm{~m}\), mass \(1 \mathrm{~kg}\) spins about its axis with an angular velocity \(20 \mathrm{rad} / \mathrm{s}\). At certain moment, the cylinder is placed into a corner as shown in the figure. The coefficient of friction between the horizontal wall and the cylinder is \(\mu\) whereas the vertical wall is frictionless. If the number of rounds made by the cylinder is 5 before it stops, then the value \(\mu\) is
(acceleration due to gravity, \(\mathrm{g}=\mathbf{1 0} \mathrm{m} / \mathrm{s}^{\mathbf{2}}\)

1 ) \(\frac{3}{\pi}\)
2 ) \(\frac{2}{\pi}\)
3 ) \(\frac{1}{\pi}\)
4 ) \(\frac{0.4}{\pi}\)
TS- EAMCET-05.05.2018
Rotational Motion

150288 A uniform cube of side a and mass \(m\) rests on a rough horizontal table. A horizontal force \(F\) is applied normal to one of the faces at a point that is directly above the centre of the face, at a height \(3 a / 4\) above the base. The minimum value of \(F\) for which the cube begins to topple an edge is (assume that cube does not slide)

1 ) \(\frac{\mathrm{mg}}{3}\)
2 ) \(\frac{\mathrm{mg}}{2}\)
3 ) \(\frac{2 \mathrm{mg}}{3}\)
4 ) \(\frac{3 \mathrm{mg}}{4}\)
BITSAT-2009
Rotational Motion

150289 An equilateral prism of mass \(m\) rests on a rough horizontal surface with coefficient of friction \(\mu\). A horizontal force \(F\) is applied on the prism as shown in the figure. If the coefficient of friction is sufficiently high so that the prism does not slide before toppling, then the minimum force required to topple the prism is-
original image

1 ) \(\frac{\mathrm{mg}}{\sqrt{3}}\)
2 ) \(\frac{\mathrm{mg}}{4}\)
3 ) \(\frac{\mu \mathrm{mg}}{\sqrt{3}}\)
4 ) \(\frac{\mu \mathrm{mg}}{4}\)
BITSAT-2014
For More Updates join with Us
Rotational Motion

150285 A rod \(A B\) of length \(1 \mathrm{~m}\) is placed at the edge of a smooth table as shown. It is hit horizontally at point ' \(B\) '. If the displacement of centre of mass in \(1 \mathrm{~s}\) is \(5 \sqrt{2} \mathrm{~m}\), the angular velocity of \(\operatorname{rod}\) is
original image

1 ) \(30 \mathrm{rad} . \mathrm{s}^{-1}\)
2 ) 20 rad.s \({ }^{-1}\)
3 ) 10 rad.s \({ }^{-1}\)
4 ) 5 rad.s \({ }^{-1}\)
AP EAMCET-23.08.2021
Rotational Motion

150286 A body of mass \(2.5 \mathrm{~kg}\) is thrown vertically upwards with a kinetic energy of \(500 \mathrm{~J}\). The height at which the kinetic energy of the body reduces to \(50 \%\) of its original value is (g \(=10 \mathrm{~m} . \mathrm{s}^{-2}\)

1 ) \(10 \mathrm{~m}\)
2 ) \(12.5 \mathrm{~m}\)
3 ) \(25 \mathrm{~m}\)
4 ) \(50 \mathrm{~m}\)
AP EAMCET-05.10.2021
Rotational Motion

150287 A uniform cylinder of radius \(1 \mathrm{~m}\), mass \(1 \mathrm{~kg}\) spins about its axis with an angular velocity \(20 \mathrm{rad} / \mathrm{s}\). At certain moment, the cylinder is placed into a corner as shown in the figure. The coefficient of friction between the horizontal wall and the cylinder is \(\mu\) whereas the vertical wall is frictionless. If the number of rounds made by the cylinder is 5 before it stops, then the value \(\mu\) is
(acceleration due to gravity, \(\mathrm{g}=\mathbf{1 0} \mathrm{m} / \mathrm{s}^{\mathbf{2}}\)

1 ) \(\frac{3}{\pi}\)
2 ) \(\frac{2}{\pi}\)
3 ) \(\frac{1}{\pi}\)
4 ) \(\frac{0.4}{\pi}\)
TS- EAMCET-05.05.2018
Rotational Motion

150288 A uniform cube of side a and mass \(m\) rests on a rough horizontal table. A horizontal force \(F\) is applied normal to one of the faces at a point that is directly above the centre of the face, at a height \(3 a / 4\) above the base. The minimum value of \(F\) for which the cube begins to topple an edge is (assume that cube does not slide)

1 ) \(\frac{\mathrm{mg}}{3}\)
2 ) \(\frac{\mathrm{mg}}{2}\)
3 ) \(\frac{2 \mathrm{mg}}{3}\)
4 ) \(\frac{3 \mathrm{mg}}{4}\)
BITSAT-2009
Rotational Motion

150289 An equilateral prism of mass \(m\) rests on a rough horizontal surface with coefficient of friction \(\mu\). A horizontal force \(F\) is applied on the prism as shown in the figure. If the coefficient of friction is sufficiently high so that the prism does not slide before toppling, then the minimum force required to topple the prism is-
original image

1 ) \(\frac{\mathrm{mg}}{\sqrt{3}}\)
2 ) \(\frac{\mathrm{mg}}{4}\)
3 ) \(\frac{\mu \mathrm{mg}}{\sqrt{3}}\)
4 ) \(\frac{\mu \mathrm{mg}}{4}\)
BITSAT-2014
NEET DIGITAL LIBRARY
Rotational Motion

150285 A rod \(A B\) of length \(1 \mathrm{~m}\) is placed at the edge of a smooth table as shown. It is hit horizontally at point ' \(B\) '. If the displacement of centre of mass in \(1 \mathrm{~s}\) is \(5 \sqrt{2} \mathrm{~m}\), the angular velocity of \(\operatorname{rod}\) is
original image

1 ) \(30 \mathrm{rad} . \mathrm{s}^{-1}\)
2 ) 20 rad.s \({ }^{-1}\)
3 ) 10 rad.s \({ }^{-1}\)
4 ) 5 rad.s \({ }^{-1}\)
AP EAMCET-23.08.2021
Rotational Motion

150286 A body of mass \(2.5 \mathrm{~kg}\) is thrown vertically upwards with a kinetic energy of \(500 \mathrm{~J}\). The height at which the kinetic energy of the body reduces to \(50 \%\) of its original value is (g \(=10 \mathrm{~m} . \mathrm{s}^{-2}\)

1 ) \(10 \mathrm{~m}\)
2 ) \(12.5 \mathrm{~m}\)
3 ) \(25 \mathrm{~m}\)
4 ) \(50 \mathrm{~m}\)
AP EAMCET-05.10.2021
Rotational Motion

150287 A uniform cylinder of radius \(1 \mathrm{~m}\), mass \(1 \mathrm{~kg}\) spins about its axis with an angular velocity \(20 \mathrm{rad} / \mathrm{s}\). At certain moment, the cylinder is placed into a corner as shown in the figure. The coefficient of friction between the horizontal wall and the cylinder is \(\mu\) whereas the vertical wall is frictionless. If the number of rounds made by the cylinder is 5 before it stops, then the value \(\mu\) is
(acceleration due to gravity, \(\mathrm{g}=\mathbf{1 0} \mathrm{m} / \mathrm{s}^{\mathbf{2}}\)

1 ) \(\frac{3}{\pi}\)
2 ) \(\frac{2}{\pi}\)
3 ) \(\frac{1}{\pi}\)
4 ) \(\frac{0.4}{\pi}\)
TS- EAMCET-05.05.2018
Rotational Motion

150288 A uniform cube of side a and mass \(m\) rests on a rough horizontal table. A horizontal force \(F\) is applied normal to one of the faces at a point that is directly above the centre of the face, at a height \(3 a / 4\) above the base. The minimum value of \(F\) for which the cube begins to topple an edge is (assume that cube does not slide)

1 ) \(\frac{\mathrm{mg}}{3}\)
2 ) \(\frac{\mathrm{mg}}{2}\)
3 ) \(\frac{2 \mathrm{mg}}{3}\)
4 ) \(\frac{3 \mathrm{mg}}{4}\)
BITSAT-2009
Rotational Motion

150289 An equilateral prism of mass \(m\) rests on a rough horizontal surface with coefficient of friction \(\mu\). A horizontal force \(F\) is applied on the prism as shown in the figure. If the coefficient of friction is sufficiently high so that the prism does not slide before toppling, then the minimum force required to topple the prism is-
original image

1 ) \(\frac{\mathrm{mg}}{\sqrt{3}}\)
2 ) \(\frac{\mathrm{mg}}{4}\)
3 ) \(\frac{\mu \mathrm{mg}}{\sqrt{3}}\)
4 ) \(\frac{\mu \mathrm{mg}}{4}\)
BITSAT-2014