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Homework Statement
Homework Equations
E=T+U
T=1/2 mv^2
U=∫F⋅dr
The Attempt at a Solution
Part 1 Work
x=x-dot
y=y-dot
z= z-dot
r=r-dot
θ=θ-dot
[/B]
T= 0.5m(x^2 +y^2) 0.5M(z)^2
Changing to polar coordinates
T=0.5m(r^2 +rθ^2) 0.5M(z)^2
U=-Mgz
E=T+U
=0.5m(r^2 +rθ^2) 0.5M(z)^2-Mgz
z=L-r
= 0.5m(r^2 +rθ^2) 0.5M(z)^2-Mg(l-r)
I drew the FBD for both:
for mass on table
Fx
Fc-T=ma
Fc= mrw^2
T=Mg
mrw^2-Mg=ma
a=rw^2-(Mg)/m
v=rw^2-(Mg)r/m
for hanging mass
Fc-Fg=0
Fc=Fg
Fc=Mg
No accleration or velocity
Is this the right track
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