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# Quiz 4 - A B C E d h α β Problem 3 Consider the Particle...

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QUIZ # 4 Class 6, September 18, 2007 Name _______________________________________ Team__________ Problem 1. (10 points) Trig practice. To calculate the height h of a mountain, angles α , β , and distance d are measured, as shown in the figure below. Find h in terms of α , β , and d . Completely simplify your answer. Hint: Consider triangles ABC and ACE – they share side AC. Find an expression for AC using triangle ABC. Then find an expression for AC using triangle ACE (use Law of Sines). Etc… Problem 2. (5 points) Consider the following particle located at point O. The particle is acted upon by three forces: F1, F2, and F3. Solve graphically and determine whether the particle is in equilibrium. Explain your answer.

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Unformatted text preview: A B C E d h α β Problem 3. Consider the Particle under the action of the three forces F1 F2 and F3 as shown. Using the grid provided where the grid spacing represents 1 N, a) (3 points) write each force vector in a vector component form b) (3 points) write each vector in terms of unit vectors i and j c) (2 points) algebraically determine the net force along the x and y axes. d) (2 points) Is the particle in static equilibrium? Explain your answer. e) (5 points) Evaluate ( F 1 + 3F 2 )·(F 2 – 2F 3 ). f) (5 points) Find cosine of the angel between forces F 2 and F 3 .(hint: use dot product F 2 F 3 )...
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Quiz 4 - A B C E d h α β Problem 3 Consider the Particle...

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