KCET 2016 Physics Solved Paper

Question : 7 of 60

Marks: +1, -0

Three bodies a ring (R), a solid cylinder (C) and a solid sphere (S) having same mass and same radius roll down the inclined plane without slipping. They start from rest, if vR,vc‌and‌vs are velocities of respective bodies on reaching the bottom of the plane, then

vR=vC=vS
vR>vC>vS
vR<vC<vS
vR=vC>vS

Validate

Solution:

The velocity of a body rolling without slipping down oninclined plane is given as
v=√‌

2gh

1+K2/R2

Here, K is the radius of gyration.
For ring, K = R
⇒vR=√gh
For solid sphere,K=√

R
⇒vs=√‌

10gh

For solid cylinder,K=

√2

⇒vc=√‌

4gh

$∴v_{ {R}}

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