A tunnel is dug along a chord of non rotating earth at a distance `d=(R)/(2)` [R = radius of the earth] from its centre. A small block is released in the tunnel from the surface of the arth. The block comes to rest at the centre (C) of the tunnel. Assume that the friction coefficient between the block and the tunnel wall remains constant at `mu.`
Calculate work done by the friction on the block. Calculate `mu.`

A tunnel is dug along a chord of Earth having length sqrt(3)R is radius of Earth. A small block is released in the tunnel from the surfasce of Earth. The particle comes to rest at the centre of tunnel. Find coefficient of friction between the block and the surface of tunnel. Ignore the effect of rotation of Earth.

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

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

A tunnel is 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 wall on a particle of mass m when it is at a distance x from the centre of the tunnel.

A tunnel is 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 wall on a particle of mass m when it is at a distance x from the centre of the tunnel.

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.

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.