Compare the magnitudes of the equilibrant vectors measured from the experiment with those obtained from the graphical and component methods. Example: A: 200 g 60° above +x axis B: 300 g 45° above -x axis C: 400 g 30° below -x-axis A = A cos a = 1.96 N x cos 60° = 0.98 N B,= B cos b = 2.94 N x cos 135º = -2.08 N C, C cos g = 3.92 N x cos 210°= -3.39 N R₂-A₂+ B₂+ C₂ = -4.49 N A, A sin a = 1.96 N x sin 60° = 1.70 N B, B sin b = 2.94 N x sin 135º = 2.08 N C, C sin g = 3.92 N x sin 210° = -1.96 N Ry= A + By + Cy = 1.82 N Questions: I: (a) A: 200 g along +x axis B: 100 g 45° above -x axis A₂ = A cos a = B₂= B cos b = R₂-A₂+ B₂ = A₂ = A sin a = B, =B sin b = R₂ = A + B₂ = R=(R₂ R₂):__ Quadrant R = √ (R₂²+R₂²) = Direction:q = tan¹ [R, /R] (c) A: 100 g along -y axis B: 200 g along -x axis Ax= A cos a = B₂B cos b = R₂-A, + B₂ = A = A sin a = B,= B sin b = R₁ = A + B₂ = R=(R R.): Quadrant R = √(R₂²+R₂²) = Direction:q=tan [R, /R.]

Compare the magnitudes of the equilibrant vectors measured from the experiment with those obtained from the graphical and component methods. Example: A: 200 g 60° above +x axis B: 300 g 45° above -x axis C: 400 g 30° below -x-axis A = A cos a = 1.96 N x cos 60° = 0.98 N B,= B cos b = 2.94 N x cos 135º = -2.08 N C, C cos g = 3.92 N x cos 210°= -3.39 N R₂-A₂+ B₂+ C₂ = -4.49 N A, A sin a = 1.96 N x sin 60° = 1.70 N B, B sin b = 2.94 N x sin 135º = 2.08 N C, C sin g = 3.92 N x sin 210° = -1.96 N Ry= A + By + Cy = 1.82 N Questions: I: (a) A: 200 g along +x axis B: 100 g 45° above -x axis A₂ = A cos a = B₂= B cos b = R₂-A₂+ B₂ = A₂ = A sin a = B, =B sin b = R₂ = A + B₂ = R=(R₂ R₂):__ Quadrant R = √ (R₂²+R₂²) = Direction:q = tan¹ [R, /R] (c) A: 100 g along -y axis B: 200 g along -x axis Ax= A cos a = B₂B cos b = R₂-A, + B₂ = A = A sin a = B,= B sin b = R₁ = A + B₂ = R=(R R.): Quadrant R = √(R₂²+R₂²) = Direction:q=tan [R, /R.]

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter1: Introduction And Vectors

Section: Chapter Questions

Problem 67P

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