The questions on Test 2 will be similar to. but not identical to, the questions

Question

The questions on Test 2 will be similar to. but not identical to, the questions below. There are more questions below than will appear on Test 2. Equations: v1 = vo + at x = vot + 1/2 at2 V12 = Vo2 + 2ax x = 1/2 (Vo + V1) t F = ma ls mu s n fk = mu kn Fg = Gm1m2 fr2 ac = a end = V2/r V = 2 pi/T T = 1/f Constants: G = 6.674 times 10-11 Nm2 / kg2 earths mass = 5.97 times 10 24kg earth's radius = 6.38 times 106 meters A 250. kg mass is suspended as shown in the diagram below. Calculate T1 (magnitude only). Calculate T2 (magnitude only).

Explanation / Answer

Fx = 0 T1 cos 40 - T2 cos 40 = 0 T1 = T2 ...(1) Fy = 0 T1 sin 40 + T2 sin 40 - mg = 0 T1 sin 40 + T1 sin 40 = 250 * 9.8 2 T1 * sin 40 = 250 * 9.8 By simplification, (a) T1 = 1905.8 N (b) T2 = T1 = 1905.8 N

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