The two blocks in ?Fig. P4.48? are connected by a heavy uniform rope with a mass of 4.00 kg. An upward force of 200 N is applied as shown. (a) Draw three free-body diagrams: one for the 6.00-kg block, one for the 4.00-kg rope, and another one for the 5.00-kg block. For each force, indicate what body exerts that force. (b) What is the acceleration of the system? (c) What is the tension at the top of the heavy rope? (d) What is the tension at the midpoint of the rope?
Solution to 54P Step 1 Drawing the free body diagrams for 6kg, 4kg rope, and 5kg box. Step2 (b) m=(6+4+5)kg 200-(6+4+5)x9.8=(6+4+5)a t at53/15=3.55m/s 2 Step 3 (c)Tension at mid point of the rope T b At top block. Fnet = 200N - 6x9.8 - T a 200 -58.8 - T = a)(3.55) -Ta 21.3 - 200 +58.8 T =119.9N~120N a