Home
Class 12
PHYSICS
A particle is given an initial speed u i...

A particle is given an initial speed `u` inside a smooth spherical shell of radius `R=1` m such that it is just able to complete the circle. Acceleration of the particle when its velocity is vertical is

A

`gsqrt(10)`

B

`g`

C

`gsqrt(2)`

D

`gsqrt(6)`

Text Solution

Verified by Experts

The correct Answer is:
A
Loss in KE = gains in GPE
`implies 1/2 m (sqrt5 gR)^(2) - 1/2 mv^2 = mgR " " implies " " v = sqrt(3 gR)`
`N = (mv^2)/R = 3 mg implies a_r = 3g and a_t = g implies a_("net") = sqrt(10)g`
Promotional Banner

Similar Questions

Explore conceptually related problems

A particle is given an intial soeed u inside a smooth spherical shell of radius R so that it is justable to compelte the circle. Acceleration of the particle, when its velocity is vertical, is

A particle is given an initial speed inside a fixed smooth spherical shell of radius 1 m such that just able to complete the vertical circle acceleration of particle at instant when velocity becomes perpendicular to initial (initially particle at the bottom)

A ball of mass m inside a smooth spherical shell of radius R with velocity sqrt(2qR) at A What is the direction of force acting on the ball, when it reaches B ?

A particle of mass m oscillates inside a smooth spherical shell of radius R and starts its motion from point B . At given instant the kinetic energy of the particle is K . Then the force applied by particle on the shell at this instant is :-

A ball of mass 1 kg moves inside a smooth fixed spherical shell of radius 1 m with an initial velocity v=5 m//s from the bottom. What is the total force acting on the particle at point B

A particle of mass m oscillates along the horizontal diameter AB inside a smooth spherical shell of radius R . At any instant K.E. of the partical is K . Then force applied by particle on the shell at this instant is:

A particle of mass m is located inside a spherical shell of mass M and radius R. The gravitational force of attraction between them is

A body is moving in a vertical circle of radius r such that the string is just taut at its highest point. The speed of the particle when the string is horizontal is

A particle moves with constant speed v along a circular path of radius r and completes the circle in time T. The acceleration of the particle is

A particle is moving in a circle of radius R in such a way that at any instant the tangential retardation of the particle and the normal acceleration of the particle are equal. If its speed at t=0 is v_(0) , the time taken to complete the first revolution is