Home
Class 12
PHYSICS
A sphere of mass m and radius r rolls wi...


A sphere of mass m and radius r rolls without slipping over a tunnel of width `d=(8r)/(5)` as shown in the figure. (in the figure the sphere rolls perpendicular to the plane of the page) the velocity of centre of mass of sphere is v directed into the plane of the page. the maximum speed of a point on the sphere is

A

`(4v)/(3)`

B

`(8v)/(3)`

C

`(6v)/(3)`

D

`(3v)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B

`v=omegaxx(3r)/(5)impliesomega=(5v)/(3r)`
`v_(B)=omegaxx(8r)/(5)=(5v)/(3r)xx(8r)/(5)=(8v)/(3)`
Promotional Banner

Similar Questions

Explore conceptually related problems

A spherical shell of mass m and radius R is rolling up without slipping on a rough inclined plane as shown in the figure. The direction of static friction acting on the shell is

A sphere of radius R rolls without slipping between two planks as shown in figure. Find (a) Speed of centre of sphere (b) Angular velocity of the sphere

A solid sphere of mass m and radius R is rolling without slipping as shown in figure. Find angular momentum of the sphere about z-axis.

A disc of mass m and radius R is rolling without slipping as shown in the figure. The magnitude of net velocity of the point P is (OP = R/2)

A solid sphere rolls without slipping and presses a spring of spring constant k as shown in figure. Then, the compression in the spring will be

A solid sphere of mass m rolls without slipping on an inclined plane of inclination theta . The linear acceleration of the sphere is

A uniform sphere of mass m and radius r rolls without sliding over a horizontal plane, rotating ahout a horizontal axle OA . In the process, the centre of the sphere moves with a veocity v along a circle of radius R . Find the kinetic energy of the sphere.

A sphere of mass M rolls without slipping on the inclined plane of inclination theta . What should be the minimum coefficient of friction, so that the sphere rolls down without slipping ?

A 1 Kg solid sphere rolls without slipping on a rough horizontal suface as shown in figure. Select incorrect alternative

Find the moment of inertia of a sphere about a tangent to the sphere, while the mass of the sphere is M and the radius of the sphere is R.