A car of mass (m) is attached to a cable of length (L) to a rotating pole. The car will speed up and travel in a circle. If the maximum speed of the car is vmax, what should the minimum strength of the cable connecting the car to the pole be? Note the surface is not frictionless.
m = 137.7 kg, L = 5.5 m, μK(road-tires) = 1.13, μS(road-tires) = 1.70, vmax = 10.7m/s
** I'm confused because the car is attached by a cable to the pole, but I also have values for static and kinetic friction. If the car is attached to the pole, does friction even matter? Since Ff=Fc and Tension=Fc, doesn't Ff=Tension? And where does kinetic friction factor into this?
Fc=mv2/r, Fc=Ff, Fc=Tension, ac=v2/r
The Attempt at a Solution
My FBD attempt. (Still confused by the friction).