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A very small cube of mass m is places on the inside of a funnel rotating about a vertical axis at a constant rate of W revolutions per second. The wall of the funnel makes an angle A with the horizontal. The coefficient of static friction between the cube and funnel is us and the center of the cube is at a distance r from the axis of rotation. Find the largest and smallest values of W for which the cube will not move with respect to the funnel.
I'm not really sure how to even begin this one
The Fnet in the y direction must = 0 for it to not move
and the fnet in the x direction must move with the funnel
we have the force of gravity acting on the mass
Fg = mg
we need force of friction
normal force will be perpindicular to the funnel
so Fn = cosA*Fg = cosA*mg
Ff = usFn = us*cosA*mg
is this correct so far?
Thanks
I'm not really sure how to even begin this one
The Fnet in the y direction must = 0 for it to not move
and the fnet in the x direction must move with the funnel
we have the force of gravity acting on the mass
Fg = mg
we need force of friction
normal force will be perpindicular to the funnel
so Fn = cosA*Fg = cosA*mg
Ff = usFn = us*cosA*mg
is this correct so far?
Thanks