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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 freebody 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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This document was uploaded on 02/05/2011.
 Spring '11

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