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Chapter 4: Q 77. (page 109)
A long string is wrapped around a diameter cylinder, initially at rest, that is free to rotate on an axle. The string is then pulled with a constant acceleration of until of string has been unwound. If the string unwinds without slipping, what is the cylinder鈥檚 angular speed, in , at this time?
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A javelin thrower standing at rest holds the center of the javelin behind her head, then accelerates it through a distance of 70 cm as she throws. She releases the javelin 2.0 m above the ground traveling at an angle of 30掳 above the horizontal. Top-rated javelin throwers do throw at about a 30掳 angle, not the 45掳 you might have expected, because the biomechanics of the arm allow them to throw the javelin much faster at 30掳 than they would be able to at 45掳. In this throw, the javelin hits the ground 62 m away. What was the acceleration of the javelin during the throw? Assume that it has a constant acceleration.
22. II Susan, driving north at , and Trent, driving east at , are approaching an intersection. What is Trent's speed relative to Susan's reference frame?
13. A supply plane needs to drop a package of food to scientists working on a glacier in Greenland. The plane flies 100 m above the glacier at a speed of 150 m/s. How far short of the target should it drop the package?
You鈥檝e been assigned the task of using a shaft encoder a device that measures the angle of a shaft or axle and provides a signal to a computer to analyze the rotation of an engine crankshaft under certain conditions. The table lists the crankshaft鈥檚 angles over a interval.
Is the crankshaft rotating with uniform circular motion? If so, what is its angular velocity in rpm? If not, is the angular acceleration positive or negative?
A particle moving in the xy--plane has velocity CALC at . It undergoes acceleration , where and are constants. Find an expression for the particle's velocity at a later time .
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