HW9 - MasteringPhysics 10/21/09 11:04 AM Eml’riiit...

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Unformatted text preview: MasteringPhysics 10/21/09 11:04 AM Eml’riiit warmest l Prim l HW9 Chapt 9/10 (UnderConstruction Remember M & W HW sessions ) Due: 11:59pm on Wednesday, November 4, 2009 Note: You will receive no credit for late submissions. To learn more. read your instructor's mug Problem 9.5 P Problem 9.22 - Description: (a) A cylinder ## m in diameter rotates in a lathe at ## rpm. What is the tangential speed of the surface of the cylinder? (1)) The proper tangential speed for machining cast iron is about ## m/s. At how many revolutions per minute should ; a piece of 4 PM A I. A cylinder 0.150 m in diameter rotates in a lathe at 620 rpm. What is the tangential speed of the surface of the CV .52, -_—. 7% “Wm: acme ’ of stock 8.00><10'2 m in diameter be rotated in a lathe to produce this tangential speed? E; A i L f \ . A m 1: 6 0g /m 6" Problem 9.23 from the axis, using the relation a_rad =omegaA2r. (b) Find the tangential speed of the point, and compute its radial acceleration from A wheel rotates with a constant angular velocity of 2.00 rad/s. Part A :6.35’DM :1: [‘4‘okis7’ Compute the radial acceleration of a point 0.350 m from the axis, using the relation and 2 “fr. --- f :2 rM/g E l , ANSWER: ; 2 E l l ‘ Description: A wheel rotates with a constant angular velocity of ## rad/s. (a) Compute the radial acceleration of a point ## m E i l http://session.masteringphysics.com/myct Page 1 of 7 MasteringPhysics 10/21/09 11:04 AM ANSWER: ' t 1;: WT Description: Three small blocks, each with mass m, are clamped at the ends and at the center of a light rod of length L. Compute the moment of inertia of the system about an axis perpendicular to the rod and passing through a point one»fourth of the length from... i E Threc small bIOCkS, eaCh With mass m . are clamped at the ends and at the center of a light rod of length L. Compute the . x a . moment of inertia of the system about an axis perpendicular to the rod and passing through a point one-fourth of the length from m ‘ m; M; one end. E i my; """""""""""""""""""""""""""""""""""""" “mm l You can ignore the moment of inertia of the light rod. ANSWERL , _ “mi; 1:““156” \/ E l i i E i Problem 9.36 .. ’— 2, Description: A wagon wheel is constructed as shown in the figure. The radius of the wheel is #4! m, and the rim has a mass of / ?’2. "L {HI kg. Each of the wheel's eight spokes, which come out from the center and are ## m long, has a mass of ## kg. (a) What is the moment of... A wagon wheel is constructed as shown in the figure. The radius of the wheel is 0,300 m. and the rim has a mass of 1.70 kg. Each of the wheel‘s eight spokes, which come out from the center and are 0.300 m long, has a mass of 0.250 kg. % E l i ET Problem 939 I ....... _W _______ WW __________ mm s .. -A _. WWWWWW ____¢ 3‘ 5 Description: The flywheel of a gasoline engine is required to give up ## J of kinetic energy while its angular velocity [A T ; decreases from ## (rev)/(min) to ## (rev)/(min). (a) What moment of inertia is required? Kt: ‘ g; ___‘ w i . i The flywheel of a gasoline engine is required to give up 500 J of kinetic energy while its angular velocity decreases from 680 i '” K htt’p://session.masteringphysics.com/myct W‘ ME} kPage 2 of 7 W tfiW MasteringPhysics 10/2 1/09 1 1:04 AM Description: Calculate the torque (magnitude and direction) about point 0 due to the force overrightarrow F in each of the situations sketched in the figure below . (a) ln case a, the force overrightarrow F and the rod both lie in the plane of the page, the rod... Calculate the torque (magnitude and direction) about point 0 due to the force 7? in each of the situations sketched in the figure N‘ T = mafia?) / i ANSWER: r >. "MW,_;rw.-v-w... g -2~ x 3mm afim’oo —-= @E / t LMW, r ,_t__m 3 Part [) g In case d , the force ? and the rod both lie in the plane of the page, the rod has length 6.00 m, and me force has magnitude iiio E 'mtpzl/session.masteringphysics.com/myct Page 3 of 7 MasteringPhysics 10/2 1/09 1 1:04 AM 2;: pa H O . i In case f, the force and the rod both lie in the plane of the page, the rod has length 6.00 m, and the force has magnitude vll.ON. > 2 {1‘ 3 '1" z a n a Z S. — —— — - ~ mm—i Description: (a) Calculate the angular momentum of a solid uniform sphere with a radius of ## m and a mass of ## kg if it is rotating at ## (rad)/s about an axis through its center. (b) Calculate kinetic energy of a solid uniform sphere with a radius of ## it Problem 1022 t . ,KNSWER: , 2. 1 L=0.4mr.u kg‘mz/s 2 Pan B Calculate kinetic energy of a solid uniform sphere with a radius of 0.120 m and a mass of 14.0 kg if it is rotating at 6.00 a” i rad/’3 about an axis through its center. 0. mriwfi l ANSWER: ; l } ‘Probiem 10.23 Description: Find the magnitude of the angular momentum of the second hand on a clock about an axis through the center of // 5 0 the clock face. The clock hand has a length of ## cm and a mass of ## g. (a) Take the second hand to be a slender rod rotating 5 with constant... "3* I W Find the magnitude of the angular momentum of the second hand on a clock about an axis through the center of the clock face. The clock hand has a length of 15.0 cm and a mass of 7.00 g. l l my ,, W. %m (7' 7'1 W 7. L > 1 l i l l l l Take the second hand to be a slender nod rotating with constant angular velocity about one end. i l ; ANSWERzé , I . 3.4;- “Egg” " ' m/S”_._;;_;m;-;..-;;_; __________ __;;.;.__;_;. http:/[session.masteringphysics.com/myct age 4 of 7 MasteringPhysics 10/21/09 11:04 AM Problem 10.28 Description: On an old-fashioned rotating piano stool. a woman sits holding a pair of dumbbells at a distance of ## m from i the axis of rotation of the stool. She is given an angular velocity of ## (rad)/s, after which she pulls the dumbbells in until they i ' are only ' g On an old-fashioned rotating piano stool, a woman sits holding a pair of dumbbells at a distance of 0.600 m from the axis of [— 1: "L rotation of the stool. She is given an angular velocity of 3.00 midi/gs. after which she pulls the dumbbells in until they are only I 0.200 in distant from the axis. The woman's moment of inertia about the axis of rotation is 5.00 kg v m2 and may be considered E Part A ' L n T 1 .. E What is the initial angular momentum of the system? ' ‘ANSWER: L C c " I“ § L = (5'00 + '5 0‘36 2-) 3 kg ' mng in the direction of the motion t l ,, ._f,.;25:£ % ANSWER= (5.00 + 5.0.362) .3 T W = 5.00 + 50.042 rad/s ’ 5 What is the angular velocity of the system after the dumbbells are pulled in toward the axis? 5M I [ Compute the kinetic energy of the system before the dumbbells are pulled in. I ‘ANSWER: W“ i v (5.00 4» 5036-2) '9 I W g y K _ W J KELéLLJ. - i t ? ANSWER: ' (ammnwzya : ammonia it K = 2 .1 ii ' E? g: gr Problem 10.36 Description: (a) In object A indicated in the figure, what magnitude of force F is needed to put the object into rotational equilibrium about the axis A shown? (b) In object B indicated in the figure, what magnitude of force F is needed to put the object into... httpzl/session.masteringphysics.com/myct MasteringPhysics 10/21/09 11:04 AM g132m B l E E In object 13 indicated in the figure, what magnitude of force F is needed to put the object into rotational equilibrium about the E l , : MM .. .5?U-.3M+49A)“ “1" F1: §F=0N : After you have found the F required to put the object into rotational equilibrium, find out which (if any) of these objects is also in translational equilibrium. Enter your answer separated with commas or enter none, if there are no object in translational equilibrium. i gt gt E ANSWER: none v 10 . .3 Description: Two people are carrying a uniform wooden board that is ## m long and weighs ## N. (a) If one person applies an ' F upward force equal to ## N at one end‘ at what point does the other person lift? (b) What force does the other person lift? ' 2 Two people are carrying a uniform wooden board that is 3.40 m long and weighs 160 N. r ............................................... _ MM...“ _ _s w. “W .MM. M. ,,,,, -__._ _______ M. . . 41 W “‘— > F *0 J/ 1 d = 2 m from the end where the first person lifts 4, X ,1 What force does the other person lift? a I 7’ http://session.masteringphysics.com/myct Page 6 of 7 ' MasteringPhysics 10/21/09 11:04 AM m WW I Score Summary: Your score on this assignment is 0%. You received 0 out of a possible total of 12 points‘ http://session.masteringphysics.com/myct Page 7 of 7 ...
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HW9 - MasteringPhysics 10/21/09 11:04 AM Eml’riiit...

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