In the previous problem, if tunnel is dug along a chord, find time period.

Problems On Tunnel

Assume that a tunnel ils 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. a. Find the gravitational force exerted by the earth on a particle of mass m placed in the tunnel at a distance x from the centre of the tunnel. b. Find the component of this fore along the tunnel and perpendicular to the tunnel. c. Find the normal force exerted by the wall on the particle. d. Find the resultant force on the particle. e.Show that the motion of the particle in the tunnel is simple harmonic and find the 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.

In the previous problem, the distance travelled by boat along the flow is

Time Period Problems