Pre_Test_v1

# Pre_Test_v1 - Please draw a free body diagram of Blaine...

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Name ___________________________ ME 577/BME 595 Pre-Test The goal of this pre-test is to assess your current skill level in the following three areas: vector manipulation, anatomy, and free body diagrams. You will get credit for completing the pre-test. The grade you receive will only be used to help Dr. Nauman determine the amount of time that needs to be devoted to each topic at the beginning of the semester. 1a. The dot product is defined to be, a b = ab cos θ . Let’s apply this definition to our basis vectors, ˆ i ˆ i = ˆ i ˆ j = ˆ i ˆ k = ˆ j ˆ i = ˆ j ˆ j = ˆ j ˆ k = ˆ k ˆ i = ˆ k ˆ j = ˆ k ˆ k = 1b. Given: Let F A = ( i + 5 j – 3 k) N and r AB = (4 i j +7 k) m. Find: Determine the unit vector in the direction of r AB and then calculate the scalar component of F A in the direction of r AB .

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Name ___________________________ 2. Calculate the following cross products. N.B. – here we are denoting vectors by a little squiggle underneath the letter.
Name ___________________________ 3a. An inverted iron cross. This is a shot of Blaine Wilson from a couple of Olympics ago.

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Unformatted text preview: Please draw a free body diagram of Blaine Wilson. Name ___________________________ 3b. Draw a free body diagram of Blaine Wilson’s left arm. Name ___________________________ 4. Please label the following structures (note that you may not use some of the indicator lines and there may not be lines to the structures you need to identify). Lateral collateral ligament Medial collateral ligament Anterior cruciate ligament Posterior cruciate ligament Lateral condyle Medial condyle Meniscus Femur Tibia Fibula Name ___________________________ 5. Label the bones of the upper extremities. Name ___________________________ 6. The kinetic energy, T, is given by, T = 1 2 m v i v . Differentiate the equation for kinetic energy and simplify as much as possible. Name ___________________________ 7. Draw a free body diagram of the lower acrobat’s left leg....
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