# capa6 - 1) Two masses connected by a string draw 2 free...

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1) Two masses connected by a string b draw 2 free body diagrams (one for each mass). String is mass-less b tension T is same on both ends of the string: T N m 1 g F x a θ m 2 g T x a Net-force: F net2 = m 2 g + T Magnitude of net-force: F net2 = m 2 g – T Newton 2 nd law: F net = ma b m 2 g – T = m 2 a T = m 2 (g – a) Net-force: F net1 = T + m 1 g + N + F Magnitude of net-force: F net1 = T - m 1 g(sin θ + μ K cos θ ) Newton 2 nd law: F net = ma T - m 1 g(sin θ + μ K cos θ ) = m 1 a Combining the two equations above yields: m 1 = m 2 (g – a) / [a + g(sin θ + μ K cos θ )] 2) The net-force on the ball is F net = T – mg = ma = m v 2 / R (centripetal acceleration) b T = mg+mv 2 /R = m(g + v 2 / R) 3) Normal force is normal to the plane, pointing upwards from the plane. The magnitude ‘N’ of the normal force is N = mg·cos θ 4) Friction is along the slope and in the opposite direction of the motion. The magnitude is F = μ N = μ ·m·g·cos θ 5) Along the incline: mg·sin

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## This note was uploaded on 11/07/2010 for the course PHYS 1120 taught by Professor Rogers during the Spring '08 term at Colorado.

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capa6 - 1) Two masses connected by a string draw 2 free...

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