E1.solns - ID# Exam 1 Top view Rear view (1) A model race...

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Unformatted text preview: ID# Exam 1 Top view Rear view (1) A model race car of weight W = 3.72 lb is moving with constant speed 11 around a (horizontal) circular racetrack of radius p = 29.6ft, as shown. To prevent the car from skidding off the outside of the track, the track is banked at an angle of 6 = 30.00 to the horizontal, and a cord of breaking strength 50.01b is connected between the car and a stake at the center of the track. Given that the coefficient of static friction between the tires and the track is us 2 0.684, use Newton’s Second Law to find the largest value of ’U for which the cord does not break, by performing the following steps (next page). Problem (1) solution (16) writeup (4) (a) Draw the free-body diagram equation of the car (rear View), showing the normal and vertical (2) directions. (b) Write the normal and vertical (2) equations of motion of the car. (c) Use the equations you have written to find the answer. You may assume that the static friction force between the tires and the track is at its maximum when the cord is just about to break. (Note: “Normal” means normal to the circular track, m the horizontal plane.) (7%» 9.0 (Q) We (Leaflets—ma ngfim PM flaw/marl F=AN =9 N2~—-(A—/——~ a) 9 CeASO—A/Im3é w”?- I W my“? l+~ NAZnBO+ANc¢A%2 Mafia 3 F Nu} é? =_!+Ogc¢¢30+m30)N2 -———s (2) W C9530 km (03 .>.. T A5¢430+m30 P ’- (WV—rampmmflwg ID# Exam 1 (2) Blocks A and B, of masses mA : 3.71 kg and mg 2 1.473 kg, are connected by an inextensible cord which passes over a pulley at C, as shown. Block A is initially moving to the right with velocity v0 = 1.672 m/s. Given that the coefficient of kinetic friction between Block A and the horizontal surface is ,uk 2 0.519, and neglecting the mass of the pulley and the friction in the pulley, use the Principle of Work and Energy to find the distance d that Block A will slide before coming to a stop, by performing the following steps. (a) Draw a diagram showing the system at the starting end ending points of the motion. Be sure to identify the distance d on your diagram. (b) Write the equation representing the Principle of Work and Energy for the system. (c) Solve the equation you have written to determine d. Problem (2) solution (16) ll (20) I é FWE (W,an NA, W ' £33120 Ami) «émAngZ+ TVuKMAfiL =2 *ZLMAnVZ: o 959 M We 64+® ” éaflk‘? MED (“052+ (/71/«KNA+' WB7T3 4 ‘2 O , a . =9 a z R m 24“ W33 (e) Mfim NA. ~‘> CW NSL/éL A (my. g. r Tye F591: (A) W [km Mk N k 128:» NA—wfo 2) wakéewg) (2; Z Lag: 1%}(2515 («Baa i 42 at 2% Qima‘me; oéSZM ...
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E1.solns - ID# Exam 1 Top view Rear view (1) A model race...

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