EF 151 Exam #4, Fall, 2010 Page 1 of 5
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1 EF 5 Exam #4, Fall, 00 Page of 5 Name: Sectio: Guidelies: Assume 3 sigificat figures for all give umbers uless otherwise stated Show all of your work o work, o credit Write your fial aswer i the box provided Iclude uits for all aswers Iclude directios for all vectors Please remai seated if there are less tha 5 miutes to go i the exam so as ot to disturb those still tryig to fiish Costat Acceleratio t t t t Ceter of Mass mr mr mr R m m m Work, Eergy, Power KE I W d P Uiform Circular Motio a cetripetal acceleratio ρ radius of curvature ω rotatioal speed T period f frequecy agle a v a v T f s f (ay curve) T Parallel Axis Theorem I I Md Torque ad Acceleratio I et Torque Fr si Impulse / Mometum I r F I I I t cm I L r p I o L I p liear mometum dt L agular mometum
2 EF 5 Exam #4, Fall, 00 Page of 5. (4 pts) Dr. Arel s husbad tries to tighte a ut by pullig dow as show. What is the geeral directio of the momet vector? A. i, -j B. +i, +j C. +k D. k F y x. (4 pts) Prof Schleter stads at the ceter of a rotatig circular platform ad the starts walkig towards the outside. What happes? A. The rotatio speed is uchaged B. The rotatio speed decreases C. The rotatio speed icreases 3. (4 pts) A object is rollig dow a hill. For a give startig height, the speed at the bottom of the hill is a fuctio of: A. Oly the mass of the object B. Oly the shape of the object C. Oly the radius of the object D. All of the above. 4. (4 pts) Which situatio causes the greatest torque about the door hige? A. Situatio A B. Situatio B C. Both cause a equal amout of torque
3 EF 5 Exam #4, Fall, 00 Page 3 of 5 5. (4 pts) A log time ago Dr. Beett flew o a DC-3 to Spuky Puddle, Ohio to atted a masory coferece. Oe egie o the atique airplae delivered 850 hp to the propeller while it spu at a steady 00 rpm. What was the torque exerted by air resistace o the propeller? ( hp = 550 ft-lb/sec) 6. (4 pts) Dea wats to show off his pizza eatig ad balacig skills by cuttig a 8 ich diameter hole i a ich diameter pizza so that the ceter of mass of the result is at x=.5, y=0. At what x,y locatio should the ceter of the hole be located?
4 EF 5 Exam #4, Fall, 00 Page 4 of 5 7. (4 pts) Patrick attaches a block (m=4kg) to a sprig (k=3 N/m) by a rope that hags over a pulley (m=8kg, r=5cm). Treat the pulley as a solid cylider ad eglect ay frictio at the axle. The system starts from rest with the sprig at its udeformed positio. Recall that the potetial eergy stored i a sprig is ½ k x. The rope rotates the pulley without slippig. What is the speed of the block after it falls.5 meters? 8. (4 poits) Isaac ad Housto remove oe of the wheels from the Dodge chassis i the basemet of Estabrook ad attach it to the wall so that it ca spi freely. They apply forces as show to start it spiig. The mass momet of iertia of the wheel is slug-ft. What is the agular acceleratio of the wheel at the istat show? (Use CCW as positive) 36 F I =0 lb r=. ft F H = 50 lb
5 EF 5 Exam #4, Fall, 00 Page 5 of 5 9. (4 pts) Paul s PhD research is o the dyamics of motorcycles ad merry-go-rouds. He lays a motorcycle o its side ad places the back wheel of the bike i cotact with the base of the ride i order to start it spiig. If the ride starts with a speed of 3.0 rad/sec ad accelerates at a costat rate of.6 rad/sec, what is the agular speed of the ride after it has completed 5 revolutios? 0. (4 pts) Abby (5kg) is helpig with Paul s research by ruig with a speed of 6. m/s toward the outer edge of a merry-go-roud (.5m radius) ad the jumpig o. The ride is iitially at rest ad it has a rotatioal speed of.3 rad/s immediately after she jumps o. Treat Abby like a poit mass ad assume the ride is a solid disk with a low-frictio bearig. What is the mass of the merry-go-roud?
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