Question

Learning Goal: To apply the equations of motion to a system that involves rotation about a fixed axis and to use this information to determine key characteristics. The slender rod AB shown has a mass of m = 51.0 kg and is being supported by a rope and pulley system stationed at C. Starting from rest (in the position shown), the rope and pulley system tug on the rod causing it to rotate about A. The torque applied to the pulley is T = 2.85 kN.m and has an effective moment arm of r= 0.150 m. The dimensions shown in the figure are l = 2.40 m and h = 1.90 m. Assume the pulley is frictionless and massless. (Figure 1) Figure 1 of 1 h B

Answer 1

SOLUTION 100 ma =510kg T = 2.85kn.m h 8-0.150m h = 1.90m l=2.40m 90+2.50 -2 sime sule By applysing 90-2.50 12.5691 h W Sin(e) Sin(90+250-P) to 2.40 Sin (A-3) = fma.cos(p) -CS(1).st013 1190 sin (p) Sin[22:50-P) Fergx sin(39.353) her 2:40 1:90 0 HA 39.35 Sin(92.50).60(8) -cos (12.50). sm). - sinfo) Wom2-50) A Flo cos 61:357 راما wocos (250) Avu AT 1 x cot (B) + 0.04362 = 1.263 - 39.35° e 3 FEB X0.1570 N6x03 - Dy - "UN Q1X58.75L Fee = 19.000 N 0= "Z Sin(e) x6 -wcos() ef 2. I and x 2160 2.40 2 19000*81n (39.35) X2:40 – 5144-81X60 (2.50*)*

= 28412:45 – 600 IAK = 28312.95 IA = me? me 2 51X2.4 3 IA 297.92 ugom? 97.92*= 28812.95 = 289114 sade 17=0 Ay 7 wsincoj +Fcos ®) 251*9.81% sn 2:50) +19000xc0s (59:339) Ap= 14.71 KN | Ag = 147h N الم ( 26 (9 wcocco) 1 Ant Fxsain (3) AN 719000X 8tn(39.35) = sixq.81x6) (2:50) AN = -11.54kn AN 11.54 kN]