## AravindG 3 years ago a small cylinder of radius r is released coaxially from point A inside the fixed large cylindrical bowl of radius r as in fug.if the friction between the small and large cylinder is sufficient enough t o prevent any slipping then find (a) the fractions of total KE vs rotational when the cylinder reaches the bottom .(b) the normal force exerted by small cylinder on the larger one when it is at bottom.

1. AravindG

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2. hosein

do you use conservation law of E? between A& bottom point

3. AravindG

?

4. hosein

in point A it has PE & in bottom has KE (rotational & transitional KE) do you get my goal?

5. hosein

$mgr=(1/2mv ^{2})+(1/2)I \omega ^{2}$

6. AravindG

ys

7. AravindG

then?

8. hosein

for sylender $I=(1/2mr ^{2})$

9. hosein

10. hosein

from 2nd law of newton have $N-mg=mv ^{2}/R$ right?

11. hosein

in part 1 question ask this: $(0.5mv ^{2}+0.5\omega ^{2})/(0.5I \omega ^{2})$ so v=Rw i think ithink answer is:2[(R/r)]^2

12. hosein

sorry one of the i think is lampoon

13. hosein

big cylender is frictionless ok?

14. hosein

i answered part b on top

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