A thin spherical shell of total mass `M` and radius `R` is held fixed. There is a small hole in the shell. A mass `m` is released from rest a distance `R` from the hole along a line that passes through the hole and also through the centre of the shell. This mass subsequently moves under the gravitational force of the shell. How long does the mass take to travel from the hole to the point diametrically opposite.

A thin uniform spherical shell of mass M and radius R is held fixed . There is a small hole punched in the shell. A particle of mass m is released from rest at a distance R from the hole along a line that passes through the hole and also through the centre of the shell. The particle starts moving towards the centre of shell only due to gravitational attraction. Find the time taken by the particle to reach the diagonally opposite end of the shell.

A thin spherical shell of mass M and radius R has a small hole. A particle of mass m released at its mouth. Then

A thin spherical shell of mass M and radius R has a small hole. A particle of mass m released at its mouth. Then

A ball of mass m and radius r rolls inside a fixed hemispherical shell of radius R . It is released from rest from point A as shown in figure. The angular velocity of centre of the ball in position B about the centre of the shell is. .

A ball of mass m and radius r rolls inside a hemispherical shell of radius R . It is released from rest from point A as shown in figure. The angular velocity of centre of the ball in position B about the centre of the shell is. .

A body of mass m is placed at the centre of the spherical shell of radius R and mass M. The gravitation potential on the surface of the shell is