A disc of mass $M$ and radius $R$ rolls on a horizontal surface and then rolls up an inclined plane as shown in the figure. If the velocity of the disc is $v,$ the height to which the disc will rise will be
A disc of mass $M$ and radius $R$ rolls on a horizontal surface and then rolls up an inclined plane as shown in the figure. If the velocity of the disc is $v,$ the height to which the disc will rise will be
- A
$\frac{{3{v^2}}}{{2g}}$
- B
$\frac{{3{v^2}}}{{4g}}$
- C
$\frac{{{v^2}}}{{4g}}$
- D
$\frac{{{v^2}}}{{2g}}$
Similar Questions
In a rectangle $ABCD (BC = 2AB)$. The moment of inertia will be minimum along the axis :-
In a rectangle $ABCD (BC = 2AB)$. The moment of inertia will be minimum along the axis :-
Two particles of equal masses have velocities$\overrightarrow {{v_1}} = 2\hat i\,m/s$ and $\overrightarrow {{v_2}} = 2\hat j\,m/s$. The first particle has an acceleration $\overrightarrow {{a_1}} = \left( {3i + 3\hat j} \right)\,m/{s^2}$,while the acceleration of the other particle is zero. The centre of mass of the two particles moves in a
Two particles of equal masses have velocities$\overrightarrow {{v_1}} = 2\hat i\,m/s$ and $\overrightarrow {{v_2}} = 2\hat j\,m/s$. The first particle has an acceleration $\overrightarrow {{a_1}} = \left( {3i + 3\hat j} \right)\,m/{s^2}$,while the acceleration of the other particle is zero. The centre of mass of the two particles moves in a
A tube of length $L$ is filled completely with an incompressible liquid of mass $M$ and closed at both the ends. The tube is then rotated in a horizontal plane about one of its end with a uniform angular velocity $\omega $. The force exerted by the liquid at the other end is
A tube of length $L$ is filled completely with an incompressible liquid of mass $M$ and closed at both the ends. The tube is then rotated in a horizontal plane about one of its end with a uniform angular velocity $\omega $. The force exerted by the liquid at the other end is
Find the torque of a force $\vec F = -3\hat i + \hat j + 5\hat k$ acting at the point $\vec r = 7\hat i + 3\hat j + \hat k$ with respect to origin
Find the torque of a force $\vec F = -3\hat i + \hat j + 5\hat k$ acting at the point $\vec r = 7\hat i + 3\hat j + \hat k$ with respect to origin
Solid spherical ball is rolling on a frictionless horizontal plane surface about its axis of symmetry. The ratio of rotational kinetic energy of the ball to its total kinetic energy is ................
Solid spherical ball is rolling on a frictionless horizontal plane surface about its axis of symmetry. The ratio of rotational kinetic energy of the ball to its total kinetic energy is ................