( Ek D - EK 0.1 For ALL SURFACES O. FOR ALL SURFACES 2% A = + T4 FgE FRD + FFD + Ffc + ma 9.8 +9.8 +1.70 + 1.96 + 5(4.49) 45.7N[] = To FgE + FRD+ FFD + ma = = 9.8 +9.8 +1.70 + 3(4.49) = 34.77N[->] T6 F9A+FRB FRD - FfB - Ffc-FfD - ma = 19.6+84,87-9.8-4.9-1.96-1.70-16(4.49) = 14.27N[] Ikg FSE STEPS INVOLVED: T7 = Fge + ma = 9.8 +1(4.49) = 14.29N[*] 1. Find Fg for all hanging masses. 2. Find FR for all masses on the ramps. 3. Find Fr for all the sliding masses. 4. Find the direction of motion by totaling Fright and Fleft and determining which is larger. (Do not include any frictional forces at this time) 5. Find Fun, choosing the direction of motion as positive. Include all frictions in this calculation. (they will all be subtracted) 6. Find Acceleration of the system by dividing the Unbalanced Force by the total mass. 7. Find tensions - Note: When solving for the tension in a rope, your answer can be verified if you solve for the tension in the opposite direction. In the sample question above, T = T2, T3 = T4, and T6 = -T7 Answers may be off by a couple of hundredths of a Newton due to rounding, so best to carry at least 2 decimal places in all answers. G 12kg THE BIG Tension Problem Determine the acceleration of the system and the tension at each point. Verify 2 of the tensions. 4kg o = 0.2 3kg 301 20 ALL SURFACES M .3 kg S 4kg E 5kg 6kg 8kg 8kg -MK = 0.1 ON ALL SURFACES 4kg C 8kg 50 8kg 7kg - 9 600 - MR = 0.15 ON ALL SURFACES 5kg 140 10 3kg ZK9