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