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Newton's Laws of Motions and Dynamics of Uniform Circular Motion

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A crate is resting on a ramp that is inclined at an angle above the horizontal. As it increased, the crate remains in place until it reaches a value of 29.2°. Then the crate begins to slide down the slope.

(a) Determine the coefficient of static friction between the crate and the ramp surface.
(b) The coefficient of kinetic friction between the crate and the ramp is 0.340. Find the acceleration of the moving crate.

A car can negotiate an unbanked curve safely at a certain maximum speed when the coefficient of static friction between the tires and the ground is 0.920. At what angle should the same curve be banked for the car to negotiate the curve safely at the same maximum speed without relying on friction?

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