Race car A follows path a-a while race car B follows path b-b on the unbanked track. If each car has a constant speed limited to that corresponding to a lateral (normal) acceleration of 0.8g, determine the times t, and to for both cars to negotiate the turn as delimited by the line C-C. C a b 6- B a A C 88 m, 72 m

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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2/124 Race car A follows path a-a while race car B follows
path b-b on the unbanked track. If each car has a
constant speed limited to that corresponding to a
lateral (normal) acceleration of 0.8g, determine the
times t and to for both cars to negotiate the turn
as delimited by the line C-C.
a
b
88 m
72 m
Problem 2/124
√2
2/129
an = 0.8g = 7² = v= √0.8gf
VA= √√0.8 (9.81)(88)
Car A
;
= 26.3 m/s
Car 8:
V₁ = √(0.8) (4.81) 72
= 23.8 m/s
7 (88) =
t₁ =
10.52 S
26.3
tg =
(72) +2 (16)
H 10.86 s
VA
23.8
Car A will win the race!
b
a
B
SA
VA
Se
Transcribed Image Text:2/124 Race car A follows path a-a while race car B follows path b-b on the unbanked track. If each car has a constant speed limited to that corresponding to a lateral (normal) acceleration of 0.8g, determine the times t and to for both cars to negotiate the turn as delimited by the line C-C. a b 88 m 72 m Problem 2/124 √2 2/129 an = 0.8g = 7² = v= √0.8gf VA= √√0.8 (9.81)(88) Car A ; = 26.3 m/s Car 8: V₁ = √(0.8) (4.81) 72 = 23.8 m/s 7 (88) = t₁ = 10.52 S 26.3 tg = (72) +2 (16) H 10.86 s VA 23.8 Car A will win the race! b a B SA VA Se
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