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A solid sphere and a hollow cylinder roll up without slipping on same inclined plane with same initial speed v. The sphere and the cylinder reach upto maximum heights h1 and h2 respectively, above the initial level. The ratio h1 : h2 is n10. The value of n is .
7
Rolling: total KE = 12mv2 (1+ K2R2 )=mgh
h= v22g (1+ K2R2 )
Solid sphere: K2R2= 25 h1 75
Hollow cylinder: K2R2=1 h2 2
h1h2= 7/52= 710 n=7
Answer: 7
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