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A uniform sphere of weight W lies at rest wedged between two inclined planes of inclination angles θ 1 and θ 2 (Fig). (a) Assume that no friction is involved and determine the forces (directions and magnitudes) that the planes exert on the sphere. (b) What change would it make, in principle, if friction were taken into account?
(a) Adding the effect of friction would change everything. The friction would act like a regular force with components along the horizontal and vertical direction. The forces in part (a) together with the frictional forces would account for the equilibrium of the sphere.
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