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.

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

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

Imagine a tunnel dug along a diameter of the earth. Show that a particle dropped from one end of the tunnel executes simple harmonic motion. What is the time period of this motion? Assume the earth to be a sphere of uniform mass density (equal to its known average density=5520 kg m^(-3) .)G= 6.67xx10^(-11)Nm^(2)kg^(-2) .Neglect all damping forces.

A tunnel has been dug through the centre of the earth and a ball is released in it. It will reach the other end of the tunnel after

A tunnel has been dug through the centre of the earth and a ball is released in it. It will reach the other end of the tunnel after

Assume that as narrow tunnel is dug between two diametrically opposite points of the earth. Treat the earth as a solid sphere of uniform density. Show that if a particle is released in this tunnel, it will execute a simple harmonic motion. Calculate the time period of this motion.

Assume that as narrow tunnel is dug between two diametrically opposite points of the earth. Treat the earth as a solid sphere of uniform density. Show that if a particle is released in this tunnel, it will execute a simple harmonic motion. Calculate the time period of this motion.

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 :