Determine the acceleration of the system and the tension in each cable. The incl

Question

Determine the acceleration of the system and the tension in each cable. The inclined plane a smooth, and the coefficient of kinetic friction between the horizontal surface and block C is (muk)c = 0.2. (ans: a = 1.349 m/s2, T1 = 88.9 N, T2 = 33.1 N) Motor M draws in the cable with an acceleration of 4ft/s2, measured relative to the 200-1b mine car. Determine the acceleration of the car and the tension in the cable. Neglect the mass of the pulleys. (ans: ac = 1.33 ft/S2, T = 36.1 lb. ap = 2.667 ft/S2)

Explanation / Answer

Alright if you draw a force diagram for the block on the incline, you will see that the force of the block going down is just mg*sin theta Treating the entire thing as one system: F_net = M*A But in this case there is friction Ff = mk*fs F - ff = ma The only other force acting on it is the 5 block going down in the other direction so we subtract the 'mg' from it 25*sin30*9.8 - 0.2*10*9.8 - 5*9.8 = 40*a Acceleration = 1.3457 If you draw a force diagram fro Tension, you find F_net = T - mg = ma T = mg + ma T = m(g+a) just plug in values PLEASE RATE.

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