Grade 12th passMechanics

A solid sphere is in pure translation with speed “u” when it enters a rough horizontal surface. after some time it starts pure rolling. what is the speed of centre of mass ? plz explain .

Chinu

9 Years agoGrade 12th pass

1 Answer

Neet Student

4 Years ago

Given,

u= initial velocity of the solid sphere.

By the conservation of angular momentum,

muR=Icω. . . . . . .(1)

Where, R= radius of solid sphere

ω= angular velocity when sphere starts pure rolling motion.

The moment of inertia about the contact point will be given by

Ic=57mR2 . . . . . (2)

When a solid sphere starts rolling motion then the speed is,

v=ωR

w=Rv. . . . . . . . . . .(3)

Now, equation (1) becomes,

muR=57mR2×Rv

u=7/5
v

u=5/7m/s

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A solid sphere is in pure translation with speed “u” when it enters a rough horizontal surface. after some time it starts pure rolling. what is the speed of centre of mass ? plz explain .

Chinu

1 Answer

Neet Student

Given,

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