Rotational MotionHard

Question

Portion AB of the wedge shown in figure is rough and BC is smooth. A solid cylinder rolls without slipping from A to B. The ratio of translational kinetic energy to rotational kinetic energy, when the cylinder reaches point C is
                                                    

Options

A.3/4
B.5
C.7/5
D.8/3

Solution

For motion from A to B from energy considerations
or v2 =
Now, for motion from B to C


thus remaining translational KE
KEt = mgh -
hence required ratio

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