2012_hw2

2012_hw2 - ME 577/BME 595D Human Motion Kinetics 1. In the...

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Unformatted text preview: ME 577/BME 595D Human Motion Kinetics 1. In the Iron Man movie, Tony Stark wearing his boot jets (not the full suit) can hover in the air using only 1% of Tmax (the maximum thrust in each boot jet) in each boot. In this instance he weighs approximately 200 lbs. Determine the value of Tmax. If Iron Man (person + armor) has a weight of 425 lbs. and he applies the maximum boot thrust so that he travels straight up, determine his initial acceleration. If Iron Man starts at rest (at 0 height) and accelerates at the maximum rate found in above, at what height will he achieve a speed of 300 ft/s? 2. A player pitches a baseball horizontally toward a speed-sensing radar gun. The baseball weighs 5-1/8 ounces and has a circumference of 9-1/8 inches. If the speed at x = 0 is v0 = 90 mph, estimate the speed as a function of x. Assume that aerodynamic drag is given according to the equation we developed in class (the wind speed can be assumed to be negligible). Use a value of 0.3 for the drag coefficient. You may neglect the vertical component of the motion. Evaluate your answer for a distance of 60 ft (the approximate distance between the pitcher's hand and home plate). 3. The first appearance of Superman was in Action Comics #1 in 1938. Created by writer Jerry Siegel and artist Joe Shuster, his powers granted him the ability to "leap tall buildings in a single bound," made him "faster than a speeding bullet," and he was "more powerful than a locomotive." Let's say that this early version of Superman cannot fly and wants to leap to the top of a tall building (400 ft.) in a single bound. If we model him as a particle and he takes off at an angle of 80o, what is the minimum initial speed required to get him to the top of the building? Plot the required initial speed vs. building height for buildings 100 ft. tall to 400 ft. tall. 4. Find the world record for the male and female high jump. If the high jumper is modeled as a particle, determine the take off velocity required to just clear the bar in each case. N.B. you should be careful estimating the initial or takeoff position of the particle. ...
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