Chapter 11: Problem 5
Why does a diver jump on the diving board before doing a somersault?
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These are the key concepts you need to understand to accurately answer the question.
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Chapter 11: Problem 5
Why does a diver jump on the diving board before doing a somersault?
These are the key concepts you need to understand to accurately answer the question.
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Biomechanical engineers have developed micromechanical de- Bio vices for measuring blood flow as an alternative to dye injection following angioplasty to remove arterial plaque. One experimental device consists of a 290 - \(\mu \mathrm{m}\)-diameter, \(2.3\)-\mum-thick silicon rotor inserted into blood vessels. Moving blood spins the rotor, whose rotation rate provides a measure of blood flow. This device exhibited an \(830-\) rpm rotation rate in tests with water flows at several meters per second. Treating the rotor as a disk, what was its angular momentum at \(830 \mathrm{rpm}\) ? (Hint: You'll need to find the density of silicon.)
The dot product of two vectors is one-third the magnitude of their cross product. What's the angle between the two vectors?
Two identical \(1900-\mathrm{kg}\) cars are traveling in opposite directions at \(75 \mathrm{~km} / \mathrm{h}\). Each car's center of mass is \(2.3 \mathrm{~m}\) from the center of the highway (Fig. 11.14). What are the magnitude and direction of the angular momentum of the system consisting of the two cars about a point on the centerline of the highway?
You stand with your right arm extended horizontally to the right. What's the direction of the gravitational torque about your shoulder?
You slip a wrench over a bolt. Taking the origin at the bolt, the other end of the wrench is at \(x=25 \mathrm{~cm}, y=6.5 \mathrm{~cm}\). You apply a force \(\vec{F}=62 \hat{\imath}-16 \hat{\jmath} \mathrm{N}\) to the end of the wrench. What's the torque on the bolt?
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