A tunnel is dug along a chord of the earth at a perpendicular distance `R//2` from the earth's centre. The wall of the tunnel may be assumed to be frictionless. A particle is released from one end of the tunnel. The pressing force by the particle on the wall, and the acceleration of the particle vary with `x` (distance of the particle from the centre) according to

A tunnel ois dug along a chord of the earth a perpendicular distance R/2 from the earth's centre. The wall of the tunnel may be assumed to be frictionless. Find the force exerted by the eall on a particle of mass m when it is at a distance x from the centre of the tunnel.

Assume that a tunnel is dug along a chord of the earth, at a perpendicular distance (R//2) from the earth's centre, where 'R' is the radius of the Earth. The wall of the tunnel is frictionless. If a particle is released in this tunnel, it will execute a simple harmonic motion with a time period :

Assume that a tunnel is dug along a cord of earth at a perpendicular distance R/2 from earth's centre where R is the radius of earth. The wall of tunnel is frictionless. Find the time period of particle excuting SHM in tunnel

(a) A tunnel is dug along a diameter of the earth. Find the force on the a particle of mass m placed in the tunnel at a distance x from the centre. (b) A tunnel is dug along a chord of the earth at a perpendicular distance R//2 from the earth's centre. the wall of the tunnel may be assumed to be frictionless. Find the force exerted by the wall on a particle of mass m when it is at a distance x from the centre of the tunnel.

A tunnel is dug across the earth of mass 'M' and radius 'R' at a distance R//2 from the centre 'O' of the Earth as shown. A body is released from rest from one end of the smooth tunnel. The velocity acquired by the body when it reaches the centre 'C' of the tunnel is

If a smooth tunnel is dug across a diameter of earth and a particle is released from the surface of earth, the particle oscillate simple harmonically along it Time period of the particle is not equal to

If a smooth tunnel is dug across a diameter of earth and a particle is released from the surface of earth, the particle oscillate simple harmonically along it Maximum speed of the particle is

Suppose a tunnel is dug along a diameter of the earth. A particle is dropped from a point a distance h directly above the tunnel. The motion of the particle as seen from the earth is