AP EAMCET2002PhysicsLaws of Motion
A body of mass M ~kg is on the top point of a smooth hemisphere of radius 5 ~m . It is released to slide down the surface of the hemisphere. It leaves the surface when velocity is 5 ~m / s . At this instant the angle made by the radius vector of the body with the vertical is (Acceleration due to gravity =10 ~ms ⁻² )
Options
- A30^
- B45^
- C60^
- D90^
Correct answer
C. 60^
Step-by-step solution
Suppose the body leaves the surface of the hemisphere at point P . Let at point P radius vector of the body makes an angle . m g = m v^2 r When the body leaves the surface then aligned R & =0 m g - & = m v^2 r aligned aligned = v^2 r g = (5)^2 5 10 & = 25 50 = 1 2 & = 60 & =60^ aligned