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): 96 692.96 100 kg 45° 346.48 a, acceleration 50 kg (a) 692.96 X 692.96 x 0.25 = 173.24 25 kg 417324 x 0.375 = 64.97 1346.48 x 0.375 = 129.93 173.24 173.24 25 x 9.8 = 245 692.96 346.48 T 100 x 9.8 980 50 x 9.8 - 490 (b) Fig. 1.4 100a + T = 519.72 50a-T + R = 216.55 25a R 108.28 Solve for acceleration a and the tensions T and R in the two ropes. Use Gaussian elimination method.

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): 96 692.96 100 kg 45° 346.48 a, acceleration 50 kg (a) 692.96 X 692.96 x 0.25 = 173.24 25 kg 417324 x 0.375 = 64.97 1346.48 x 0.375 = 129.93 173.24 173.24 25 x 9.8 = 245 692.96 346.48 T 100 x 9.8 980 50 x 9.8 - 490 (b) Fig. 1.4 100a + T = 519.72 50a-T + R = 216.55 25a R 108.28 Solve for acceleration a and the tensions T and R in the two ropes. Use Gaussian elimination method.

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter2: Right Triangle Trigonometry

Section2.5: Vectors: A Geometric Approach

Problem 44PS: Force Repeat Problem 43 for a 25.0-pound weight and a bench inclined at 12.5.

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