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Frictional Force

A sphere of r...

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A sphere of radius R/2 is taken out from a solid sphere of radius R leaving a spherical cavity.A gentle push is given to this sphere.Show that the motion of the sphere is ShM

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Q. A spherical cavity of radius

\frac{R}{2}

is removed from a solid sphere of radius

R

and the sphere is placed on a rough horizontal surface as shown in the figure. The sphere is given a gentle push and the friction is large enough to prevent slipping. Find the time period of oscillation of the sphere.

Q. A spherical cavity of radius

\frac{R}{2}

is removed from a solid sphere of radius

R

and the sphere is placed on a rough horizontal surface as shown in the figure. The sphere is given a gentle push and the friction is large enough to prevent slipping. Find the time period of oscillation of the sphere.

Q. A solid sphere of mass

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R

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\frac{R}{2}

from the centre of the sphere. The force of attraction that this sphere would exert on a particle of mass

m

which lies at a distance

d (> R)

from the centre of the solid sphere on the straight line joining the centre of the sphere and the center of cavity is

Q. The figure represents a solid uniform sphere of mass M and radius R. A spherical cavity of radius

r

is at a distance

a

from the centre of the sphere. The gravitational field inside the cavity is

Q. A solid sphere of uniform density and radius

4

units is located with its centre at the origin of coordinates,

O

. Two spheres of equal radii of

1

unit, with their centres at

A (- 2, 0, 0)

B (2, 0, 0)

respectively, are taken out of the solid sphere, leaving behind spherical cavities as shown in the figure.

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