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A solid sphere and a hollow sphere both ...


A solid sphere and a hollow sphere both of same mass and same radius are hit by a cue at a height `h` above the centre `C`. In which case,
(a). Linear velocity will be more?
(b). Angular velocity will be more?
(c). rotational kinetic energy will be more?

Text Solution

Verified by Experts

(a). `v=(J)/(m),J` and `m` are same for both
(b). `omega=(Jh)/(I)`
or `omegaprop(1)/(I)`
J and `h` are same but `I_(solid)ltI_(hollow)`
`thereforeomega_(solid)ltomega_(hollow)`
(c). `K_(R)=(1)/(2)Iomega^(2)`
`omegaprop(1)/(I)`
`thereforeK_(R)prop(1)/(I)`
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