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 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.

if a boby is released into a tunal dug across the diameter of earth, it executes simple harmonic motoin with time period

(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.

Asume that as narrow tunnel is dug between two diametricaly opposite points of the earth. Treat the earth as a solid sphere of uniform density. Show that ilf a particle is relesed in this tunel, ilt wil execute a simple harmonic motion. Calculate the time period of this motion.

A tunnel is dug through the centre of the earth. Shwo that a body of mass m when dropped form rest from one end of the tunnel will execute simple harmonic motion.

Imagine a smooth tunnel along a chord of nonrotating earth at a distance (R)/(2) from the centre. R is the radius of the earth. A projectile is fired along the tunnel from the centre of the tunnel at a speed V_(@)=sqrt(gR) [g is acceleration due to gravity at the surface of the earth]. (a) Is the angular momentum [about the centre of the earth] of the projectile onserved as it moves along the tunnel? (b) Calculate the maximum distance of the projectile from the centre of the earth during its course of motion.