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Car on rotating platform
A car is driven on a large revolving platform which rotates with constant angular speed ω. At t = 0 a driver leaves the origin and follows a line painted radially outward on the platform with constant speed v0. The total weight of the car is W, and the coefficient of friction between the car and stage is μ.
(a) Find the acceleration of the car as a function of time using polar coordinates. Draw a clear vector diagram showing the components of acceleration at some time t > 0.
(b) Find the time at which the car just starts to skid.
(c) Find the direction of the friction force with respect to the instantaneous position vector r just before the car starts to skid. Show your result on a clear diagram.
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