A small body of mass $m$ slides down from the top of a hemisphere of radius $r$. The surface of block and hemisphere are frictionless. The height at which the body lose contact with the surface of the sphere is

814-733

  • A

    $\frac{3}{2}r$

  • B

    $\frac{2}{3}r$

  • C

    $\frac{1}{2}g{t^2}$

  • D

    $\frac{{{v^2}}}{{2g}}$

Similar Questions

A stone is tied to a string of length $L$ is whirled in a vertical circle with the other end of the string at the centre. At a certain instant of time, the stone is at its lowest position and has a speed $u.$ The magnitude of the change in its velocity as it reaches a position where the string is horizontal is

A projectile is given an initial velocity of $(\hat i+2\hat j)\,m/ s$ where $\hat i$ is along the ground and $\hat j$ is along the vertical. If $g = 10\,m/s^2,$ the equation of its trajectory is

The $x-t$ graph of a particle moving along a straight line is shown in figure The distance-time graph of the particle is correctly shown by

Two stones are thrown with same speed $u$ at different angles from ground in air. If both stones have same range and height attained by them are $h_1$ and $h_2$, then $h_1+h_2$ is equal to .......

A ball is rolled off the edge of a horizontal table at a speed of $4\, m/s$. It hits the ground  after $0.4\, sec$. Which statement given below is true?