A solid uniform sphere rotating about its axis (with$$ rotational kinetic energy ω$$0) is placed on a rough horizontal plane without any translational push. Friction coefficient p is not same everywhere on the plane and it may differ even at each point. After sometime the sphere begins pure rolling with total kinetic energy E. Then:

Question

A solid uniform sphere rotating about its axis (with$$ rotational kinetic energy ω$$0) is placed on a rough horizontal plane without any translational push. Friction coefficient p is not same everywhere on the plane and it may differ even at each point. After sometime the sphere begins pure rolling with total kinetic energy E. Then:

Infinity Learn · Accepted Answer

Li $$=$$ Lf⇒ $$25MR2$$ω$$0=MVR+25MR2$$ω$$=$$ ω$$=27$$ω$$0TKEi=1225MR2$$ω$$02$$;$$TKEf=12mv2+12I$$ω$$2=710M$$ω$$2R2=235MR2$$ω$$02$$

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