Home
Class 11
PHYSICS
A particle is released from the top of t...

A particle is released from the top of the smooth hemisphere `R` as shown.
the normal contact between the particle and the hemisphere in position `theta` is

A

`mg(3-2costheta)`

B

`mg(3cos theta-2)`

C

`mg(4costheta-3)`

D

`mg(4-3costheta)`

Text Solution

Verified by Experts

The correct Answer is:
B

`v^(2)=2gh=2gR(1-cos theta)`
`mg costheta-N=(mv^(2))/(R )=2mg(1-costheta)`
`N=mg(3 cos theta-2)`

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A particle is released from the top of a smooth hemisphere.find the angle rotated by the radius through the particle, when it loses contract with the hemisphere. Also sketch variation of normal contact force with cos theta , where theta is an angle rotated by the radius through the particle.

A particle of mass m is released from the top of a smooth hemisphere of radius R with the horizontal speed mu . Calculate the angle with verticle where it loses contact with the hemisphere.

A particle of mass m is placed in equlibrium at the top of a fixed rough hemisphere of radius R. Now the particle leaves the contact with the surface of the hemisphere at angular position theta with the vertical wheere cos theta""(3)/(5). if the work done against frictiion is (2mgR)/(10x), find x.

A smooth sphere of radius R is moving in a straight line with an acceleration a. A particle is released from top of the sphere from rest. Find the speed of the particle when it is at an angular position theta from the initial position relative to the sphere.

A hemisphere of radius R and mass 4 m is free to slide with its base on a smooth horizontal table . A particle of mass m is placed on the top of the hemisphere . The angular velocity of the particle relative to centre of hemisphere at an angular displacement theta when velocity of hemisphere has become v is

Consider the situation as shown in the figure. A solid sphere of mass m is released from rest from the rim of a hemispherical cup so that it rolls along the surface. Find the normal contact force between the solid sphere and the cup at the bottom most point.

CP SINGH-CIRCULAR MOTION-Exercise
  1. A nail is located at a certain distance vertically below the point of ...

    Text Solution

    |

  2. A simple pendulum is oscillating without damiping, When the displaceme...

    Text Solution

    |

  3. A simple pendulum is oscillating with an angular amplitude of 90^(@) a...

    Text Solution

    |

  4. A simple pendulum having bob of maas m is suspended from the ceiling o...

    Text Solution

    |

  5. A particle of mass m is fixed to one end of a light rigid rod of lengt...

    Text Solution

    |

  6. Figure shows a light rod of length l rigidly attached to a small heavy...

    Text Solution

    |

  7. A car moves along an uneven horizontal surface with a constant speed a...

    Text Solution

    |

  8. A block is released from rest at the top of an inclined plane which la...

    Text Solution

    |

  9. In the previous problem, if h=5R//2, the speed of block at the highest...

    Text Solution

    |

  10. A particle is released from the top of the smooth hemisphere R as show...

    Text Solution

    |

  11. In the previous problem (i) At theta=cos^(-1)((2)/(3)), the particl...

    Text Solution

    |

  12. A Particle is kept at rest at the top of a sphere of diameter 42m.when...

    Text Solution

    |

  13. A small disc is on the top of a hemisphere of radius R. What is the sm...

    Text Solution

    |

  14. A bridge is in the form of a semicircle of radius 40m. The greatest sp...

    Text Solution

    |

  15. A motorcycle is going on an overbridge of radius R. The driver maintai...

    Text Solution

    |

  16. Consider a car moving on a horizontal road, convex bridge and concave ...

    Text Solution

    |

  17. A bucket tied at the end of a 1.6m long string is whirled in a verticl...

    Text Solution

    |

  18. An insect craws up a hemispherical surface very slowly (see fig.). The...

    Text Solution

    |

  19. A piece of wire is bent in the shape of a parabola y = Kx^(2) (y - axi...

    Text Solution

    |

  20. A particle P is sliding down a frictionless hemispherical bowl. It pas...

    Text Solution

    |