A plank P is placed on a solid cylinder S, which rolls on a horizontal surface. The two are of equal mass. There is no slipping at any of the surfaces in contact. The ratio of the kinetic energy of P to the kinetic energy of S is:
Text Solution
Verified by ExpertsThe correct answer is:
C
Let velocity of c.m. of sphere be v. The velocity of the plank = 2v.
Kinetic energy of plank = 
× m × (2v) 2 = 2mv 2
Kinetic energy of cylinder = 
mv 2 + 
+ 
= 
= 
∴ 
= 
= 
.
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