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for a body rolling without slipping on an inclined plane the velocity does not depend on the angle of inclination while the acceleration does this is seen from the foll. 2 eq n s : v cm = [ 2gh / 1 + ( K 2 / R 2 ) ] and a cm = [ gsin theta / 1 + (K 2 / R 2 ) ] velocity depends on acc. so should it also not indirectly depend on theta ?...... but it depends only on the height from wich it starts to roll.....??? I know it is derived from work - energy theorem..... i want an analytical answer.


for a body rolling without slipping on an inclined plane

 

the velocity does not depend on the angle of inclination while the acceleration does this is seen from the foll. 2 eqns :

 

vcm = [ 2gh / 1 + ( K2 / R2 ) ]                             and                                acm = [ gsin theta / 1 +  (K2 / R2 ) ]

 

velocity depends on acc. so should it also not indirectly depend on theta ?...... but it depends only on the height from wich it starts to roll.....???

 

I know it is derived from work - energy theorem..... i want an analytical answer.

 


Grade:10

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