Two blocks are connected by a (massless) string that passes over a (massless, frictionless) pulley as shown. Assume the interface between block A and the horizontal tabletop to be frictionless. pulley 476 If mA = 6.3 kg and mp = 8.8 kg, what is the tension in the string? Express your answer in N, to at least one digit after the decimal point.

2. Three blocks are connected by a weightless cord and rest on an inclined plane (Fig. 2(a)). The following set of simultaneous equations is derived from the free- body diagrams shown in Fig. 2(b): 100a +T + (0)R = 519.72 50a -T +R=216.55 25a + (0)T – R =108.27 Without interchanging the rows and columns, solve for the acceleration a and the tensions T and R, in the two ropes by using Gauss-Seidel iteration method. Stop all calculations after three iterations. 25 kg 50 kg 100 kg 45 1346 48 × 0,375 - 129.93 346.48 173 24 x 0.375 - 64.97 173,24 346,48 692.96 100 x 9.8 = 980 50 9,8 490 25 x 98- 245 a, acceleration 96769 T692.96 x 0.25 = 173.24 173.24

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A former student of mechanics wishes to weigh himself t has access only to a scale A with capacity limited to 110 lbs and a small 20- lb spring dynamometer B. With the rig shown he discovers that when he exerts a pull on the rope so that Bregisters 18 lb, the scale A reads 84 lb. What is his correct weight? Answer: Weight= lb

Blocks mị and m2 are connected by a rope as shown in the figure. There is friction between mi and the wall, where the coefficient of static friction is ls. There is no friction between m2 and the ramp. An unknown force P is applied to mį so that mị is about to slip down the wall and m2 is about to move down the ramp. If the magnitude of the normal force on m2 is n2, find m2, the magnitude of P, the magnitude of the friction force on m1, and the magnitude of the tension force in the rope. The knowns are ls, n2, m1, g, and 0. P = ? Hs rope wall no friction m2 = ? ramp

Solve it quickly please