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Equilibrium

Equilibrium. Section 7.6, # 83. To view this presentation: Right click on the screen and select “Full Screen”. Section 7.6, # 83. 60 o. 30 o. 1000 lb. Identify all the forces that are acting on the object. Equilibrium R + S + W = 0. 60 o. 30 o. R. S. 1000 lb. W.

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Equilibrium

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  1. Equilibrium Section 7.6, # 83 To view this presentation: Right click on the screen and select“Full Screen”.

  2. Section 7.6, # 83 60o 30o 1000 lb

  3. Identify all the forces that are acting on the object. Equilibrium R + S + W = 0 60o 30o R S 1000 lb W

  4. Find the direction of R. R = |R|[(cos a)i + (sin a)j ] R = |R|[(cos 150o )i + (sin 150o)j ] 60o R In quadrant II, a 30o reference angle is 150o (180 – 30 = 150) 30o

  5. Find the direction of S. S = |S|[(cos b)i + (sin b)j ] S = |S|[(cos 60o )i + (sin 60o)j ] 30o S In quadrant I, a 60o reference angle is 600. 60o

  6. Find the direction of W. W = |W|[(cos q)i + (sin q)j ] W = |W|[(cos 270o )i + (sin 270o)j ] Remember, |W| = 1000 W = 1000[(cos 270o )i + (sin 270o )j ] and cos 270o = 0 and sin 270o = -1 W = -1000j 270o W

  7. Identify all the forces that are acting on the object. Equilibrium R + S + W = 0 R = |R|[(cos 150o )i + (sin 150o)j ] S = |S|[(cos 60o )i + (sin 60o)j ] 60o 30o R S W = -1000j 12 cos 150o = - , sin 150o = cos 60o = sin 60o = cos 270o = 0 sin 270o = -1 12 1000 lb W

  8. Identify all the forces that are acting on the object. Equilibrium R + S + W = 0 12 - |R| + |S| + 0 = 0 12 |R| + |S| + -1000 = 0 12 cos 150o = - , sin 150o = cos 60o = sin 60o = cos 270o = 0 sin 270o = -1 12

  9. Identify all the forces that are acting on the object. Equilibrium R + S + W = 0 2 12 |R| + |S| = 0 - |R| + |S| = 0 2 12 |R| + |S| = 1000 |R| + |S| = 2000 3|R| - |S| = 0 |R| + |S| = 2000 4|R| = 2000 |R| = 500 lb and |S| = 866 lb

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