The cake company truck is on it's way deliver a cake for a party when it rounds a curve of radius 20 m at a speed of 12 m/s. What coefficient of friction is needed between the cake pan and the truck in order to keep the pan from slipping?

please show work!

1 answer

To avoid slipping, the maximum static friction force,
M g Us,
must exceed the centripetal force
M V^2/R

Set them equal and solve for the static friction coefficient, Us.

Us = V^2/(R*g)

That will be the minimum value required.