1. Three blocks are connected by a weightless cord and rest on an inclined plane. Using Newton's second law of motion, this yields the following set of simultaneous equations (free-body diagrams are shown in Fig. 1.4b): (a) Keada 692.96 346.48 173.24 T R 100 x 9.8 = 980 50 x 9.8 490 25 x 9.8 = 245 (b) Fig. 1.4 100a + T 519.72 50a-T + R = 216.55 25a R 108.28 69296 100 kg a. acceleration 346.48 50 kg 45° 25 kg 692.96 x 0.25 173.24 173.24 346.48 x 0.375 129.93 173.24 x 0.375 - 64.97

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Chapter1: Units, Trigonometry. And Vectors
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Explain details by details how did they come up with the three equations.

1. Three blocks are connected by a weightless cord and rest on an inclined plane. Using
Newton's second law of motion, this yields the following set of simultaneous equations
(free-body diagrams are shown in Fig. 1.4b):
(a)
Keada
692.96
346.48
173.24
T
R
100 x 9.8 = 980
50 x 9.8 490
25 x 9.8 = 245
(b)
Fig. 1.4
100a + T
519.72
50a-T + R = 216.55
25a R
108.28
69296
100 kg
a. acceleration
346.48
50 kg
45°
25 kg
692.96 x 0.25 173.24
173.24
346.48 x 0.375 129.93
173.24 x 0.375 - 64.97
Transcribed Image Text:1. Three blocks are connected by a weightless cord and rest on an inclined plane. Using Newton's second law of motion, this yields the following set of simultaneous equations (free-body diagrams are shown in Fig. 1.4b): (a) Keada 692.96 346.48 173.24 T R 100 x 9.8 = 980 50 x 9.8 490 25 x 9.8 = 245 (b) Fig. 1.4 100a + T 519.72 50a-T + R = 216.55 25a R 108.28 69296 100 kg a. acceleration 346.48 50 kg 45° 25 kg 692.96 x 0.25 173.24 173.24 346.48 x 0.375 129.93 173.24 x 0.375 - 64.97
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