Question

A ball of mass 0.25 kg is suspended by two strings as shown in the diagram below. (a) Determine the weight of the ball, in N, (b) Determine the magnitude of the tension T1, in N, (c) Determine the magnitude of the tension T2, in N, Use g=10m/s/s, and round your answers to the riearest tenth. Do not include units in your answers, Use the following trigonometric values as needed: sin 37-0.6; cos 37-0.8 an sin 53-0.8: cos 53=0.6

Answer 1

V530 37° casing "I sin37' To 53 Tacos 37 T, COS 530 mg mg Given mass of ball = 0.25kg mg weight of the ball wa - 0.25810 - 2.5N b ) b -0 If the system system in equilibri E for To cos 37° - T, (0553 0 To cos 37° ET, COS 530 1 (0.5) - T: (0.6) 0.8 0.6 I Ta =133 To = 1.33 TL and {Ty 20 T, sim53° + Tasimat - ng ao 1.33 Tq sims3° + Ty singyº = mg 77.33 fre$$*+ ***) as Ta [ 1.33 (018) + 016] 2 2.5

Ta [ 1.064 +0.6 6] - 2.5 22.5 Ta [10664 2.5 Ta ܕܓ 664 N = 1.5024 T, = 1.33 Ta (1-33) (5024) le 998 N W - 2.5 N weight Tension T T = 10998 Tension T2 = 1:5024