Question Number 102241 by ajfour last updated on 07/Jul/20

Commented byajfour last updated on 07/Jul/20

If the solid cylinder and sphere have the same density , find maximum R such that cylinder doesn′t topple. center of sphere is at a level of half the cylinder height h. radius of cylinder is r.

Commented bymr W last updated on 07/Jul/20

i think it doesn′t matter at which level the center of the sphere is.

Commented byajfour last updated on 07/Jul/20

true, i understand.

Answered by mr W last updated on 07/Jul/20

W_C =πr^2 hρg W_S =((4πR^3 )/3)ρg W_C r≥W_S R πr^2 hρgr≥((4πR^3 )/3)ρgR R≤r(((3h)/(4r)))^(1/4)

Commented byajfour last updated on 07/Jul/20

Great Sir, well presented, give me a hint sir, what questions would you like from me? I am not in good health, its been months but these days progress is good, and it feels great discussing with you, but in some questions i lack the patience that you put in, say the minimum velocity question, i dint review it..

Commented bymr W last updated on 07/Jul/20

sorry to know that you are not in good health sir! i hope sincerely that you will get well as soon as possible. in fact i find all questions from you creative and interesting. it′s a big pleasure to discuss with you and to see how you solve the problems. but at the moment i don′t wish that you give or solve any questions, but that you take more care of your health!

Commented byajfour last updated on 07/Jul/20

thanks for all your concern Sir, but i am comfortable now with posting and answering few questions at the forum.

Commented byPRITHWISH SEN 2 last updated on 07/Jul/20

get well soon sir.

Commented by$@y@m last updated on 08/Jul/20

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Answered by 1549442205 last updated on 08/Jul/20