A partcle rests on the top of a hemisphe...

A partcle rests on the top of a hemisphere of radiu R. Find the smallest horizontal velocity that must be imparted to the particle if it is to leave the hemisphere without sliding down it-

`sqrt(gR)`

`sqrt(2gR)`

`sqrt(3gR)`

`sqrt(5gR)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

SHM-WAVE,GRAVITATION,FLUID,HEAT
MOTION|Exercise EXERCISE|109 Videos

Similar Questions

Explore conceptually related problems

A partcle rests on the top of a hemisphere of radius R. Find the smallest horizontal velocity that must be imparted to the particle if it is to leave the hemisphere without sliding down :

A very small particle rests on the top of a hemisphere of radius 20 cm . Calculate the smallest horizontal velocity to be given to it if it is to leave the hemisphere without sliding down its surface, take g = 9.8 m//s^(2) .

A very small particle rests on the top of a hemisphere of radius 20 cm. Calculate the smallest horizontal velocity to be given to it if it is to leave the hemisphere without sliding down its surface. Take g = 9.8 ms^(-2) .

A small particle rest on the top of a hemisphere of radius 20 cm .The smallest horizontal velocity os given to it , if it is to leave the hemisphere without sliding down to its surface ,is

A body rest on the top of a hemisphere of radius R. What will be the least horizontal velocity imparted to it , if it has to leave the hemisphere without sliding down?

A small disc is on the top of a hemisphere of radius R . What is the smallest horizontal velocity v that should fbe given to the disc for it to leave the hemisphere and not slide down it?[There is no friction]

A particle rests on the top of a smooth hemisphere of radius r . It is imparted a horizontal velocity of sqrt(etagr) . Find the angle made by the radius vector joining the particle with the vertical at the instant the particle losses contact with the sphere.

A particle slides down from the top outside smooth surface of a fixed sphere of radius a=10m . The initial horizontal velocity to be imparted to the particle at the top is 5Km/s ,if it leaves the surface at a point whose vertical height above the centre of sphere is 3a/4. Find the value of K

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 slides down from the vertex of semi- hemisphere, without any initial velocity. At what height from horizontal will the particle leave the sphere-

MOTION-MECHANICS-EXERCISE

A racing car is travelling along a track at a constant speed of 40 m/s...
Text Solution
|
A particle of mass m is moving in a circular path of constant radius r...
Text Solution
|
A partcle rests on the top of a hemisphere of radiu R. Find the smalle...
Text Solution
|
A particle P will be in equilibrium inside a hemispherical bowl of rad...
Text Solution
|
Kinetic energy of a particle moving in a straight line varies with tim...
Text Solution
|
In the figure, block A is released from rest when the spring is at its...
Text Solution
|
The force acting on a body moving along x -axis varies with the positi...
Text Solution
|
A block of mass m = 0.1 kg is released from a height of 4 m on a curve...
Text Solution
|
A forceF = (2hat(i)+5hat(j)+hat(k))N is acting on a particle. The part...
Text Solution
|
A chain of mass m and length l is placed on a table with one-sixth of ...
Text Solution
|
The force required to row a boat over the sea is proportional to the s...
Text Solution
|
A 50 kg girl is swinging on a swing from rest. Then the power delivere...
Text Solution
|
A locomotive of mass m starts moving so that its velocity varies accor...
Text Solution
|
block of mass m slips down an inclined plane as shown in the figure. W...
Text Solution
|
Sand particles drop vertically at the rate of 2kgs^-1 on a conveyor be...
Text Solution
|
An engine pumps liquid of density d continuosly through a pipe of cros...
Text Solution
|
A boy is standing at the centre of a boat which is free to move on wat...
Text Solution
|
A bullet of mass m strikes a pendulum bob of mass M with velocity u. I...
Text Solution
|
An open water tight railway wagon of mass 5xx10^(3) kg coasts at initi...
Text Solution
|
Two equal lumps of putty are suspended side by side from two long stri...
Text Solution
|