Normal Force and Rotating Earth

a) Draw the free-body diagram for the box on the surface of the Earth. Hint: The direction of the normal force (i.e the force due to the ground) should make an angle with respect to the normal to the surface.

b) Write down the equations of motion for the box.

c) Find an expression for the magnitude of the normal force in terms of the quantities given in the problem.

d) Find an expression for the direction of the normal force with respect to the direction of the normal to the surface of the Earth.

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