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RaphaelFilgueiras
Group Title
A spherical uniform shell rotates in a vertical axis without friction.One string without mass passing through sphere equator and a sheave has a small object at its end.what is the velocity of object,when he down a distance H.
 one year ago
 one year ago
RaphaelFilgueiras Group Title
A spherical uniform shell rotates in a vertical axis without friction.One string without mass passing through sphere equator and a sheave has a small object at its end.what is the velocity of object,when he down a distance H.
 one year ago
 one year ago

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RaphaelFilgueiras Group TitleBest ResponseYou've already chosen the best response.0
Use work energy theorem
 one year ago

celos Group TitleBest ResponseYou've already chosen the best response.0
rotational kinetic energy of spherical shell + rotational K.E. of pulley + K.E. of object = change in P.E. of object
 one year ago

celos Group TitleBest ResponseYou've already chosen the best response.0
since string is not stretchable: velocity of object = angular speed of shell* Radius of shell = angular speed of pulley * radius of pulley. now put the known values and get the answer.
 one year ago

CarlosGP Group TitleBest ResponseYou've already chosen the best response.2
\[1/2mv^2+1/2I_{sphere}\omega_{sphere}^2+1/2I_{pulley}\omega_{pulley}^2=mgH\]
 one year ago

RaphaelFilgueiras Group TitleBest ResponseYou've already chosen the best response.0
@CarlosGP ,but we dont have w,and v yet
 one year ago

celos Group TitleBest ResponseYou've already chosen the best response.0
you will get a equation in one variable and will be able to find solution also
 one year ago

RaphaelFilgueiras Group TitleBest ResponseYou've already chosen the best response.0
@carlos i get it i will try
 one year ago

CarlosGP Group TitleBest ResponseYou've already chosen the best response.2
\[I_{sphere}=2/5MR^2\] then, for the sphere \[1/2(2/5MR^2)w_{sphere}^2=1/5Mv^2\] and for the pulley: \[1/2Iw_{pulley}^2=1/2I(v/r)^2\] with the data given in the drawing: \[mgH=v^2[m/2+M/5+I/(2r^2)]\]
 one year ago

RaphaelFilgueiras Group TitleBest ResponseYou've already chosen the best response.0
Isphere=2/3MR²
 one year ago

RaphaelFilgueiras Group TitleBest ResponseYou've already chosen the best response.0
@CarlosGP thanks
 one year ago

CarlosGP Group TitleBest ResponseYou've already chosen the best response.2
@RaphaelFilgueiras you are welcome. Isphere is 2/5MR^2
 one year ago

RaphaelFilgueiras Group TitleBest ResponseYou've already chosen the best response.0
@CarlosGP it's just a shell
 one year ago

CarlosGP Group TitleBest ResponseYou've already chosen the best response.2
You are right: I=2/3MR^2 for the sphere
 one year ago
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