1.

A solid sphere and a disc. Of same diameter and mass roll down from rest on a frictionless inclined plane. The ratio of their acceleration is :

Answer»

`15:14`
`7:8`
`1:1`
`2:1`

Solution :`a=(gsintheta)/(1+(I)/(mr^(2)))` for sphere `I=(2)/(5)mr^(2) THEREFORE a_(s)=(5)/(7)gsintheta`
for disc `I=(1)/(2)mr^(2) therefore a_(d)=(2)/(3)gsintheta`
`therefore (a_(s))/(a_(d))=(5)/(7)xx(3)/(2)=(15)/(14)`


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