I drew this to make it easier to understand:
E (mass: 400g) can move along the semicircle.
ABCD is a plate rotating around (AD) axis at constant speed (14 rad/s).
Coefficients of friction are 0.35 (static) and 0.25 (dynamic).
I need to find out whether E will move for θ = 80º and for θ = 40º. Also I need to find the module and direction of the friction force for t0.
The Attempt at a Solution
I applied Newton's second law.
Σ Fext = mg + N1 + N2 + f
mg is E's weight
N1 is the normal force in the (ABC) plane
N2 is the normal force perpendicular to the (ABC) plane
f is the friction force
I did this also so that you understand what I mean -just in case... :)
Then I think I must use:
aE = aO + aE/O + ωx(ωxOE) + αxOE + 2ωxvE/O
α = dω/dt = 0
ω = 14 j
OE = (0.65 - sin(θ)*0.25) i
I hope you can help me out here. Thanks a lot!
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