- #1
toesockshoe
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Homework Statement
A mass m on a frictionless table is attached to a hanging mass M by a cord through a hole in the table; the hole has no frictional effect on the string. Find the condition (the speed of the mass and the radius of its circular motion) with which it must spin for M to remain at rest
Homework Equations
f=ma
a_c=v^2/r
The Attempt at a Solution
is the answer v=sqrt(Mgr/m)? i feel like you need to separate r and v but I can't find a way to express both variable individually with the givens... i think speed and radius depend on each other so there can be multiple answers. is this correct?
how I solved it:
system m
x components:
Ftension = ma
Ftension = mv^2/r
system M
Fgravity - F tension (cordinate system with y-axis going downard) = ma
a is 0
so Fgravity = FtensionTENSION FORCES NEED TO BE SAME FOR BOTH SYSTEMS
so Fgravity can be rewritted as Mg
so Mg = mv^2/r
and thus v = sqrt(Mgr/m) right?[/B]