Physics, 16.11.2019 07:31 awesomegrill
Ahighway curves to the left with radius of curvature of 31 m and is banked at 24 ◦ so that cars can take this curve at higher speeds. consider a car of mass 1029 kg whose tires have a static friction coefficient 0.76 against the pavement. how fast can the car take this curve without skidding to the outside of the curve? the acceleration of gravity is 9.8 m/s 2 . answer in units of m/s.
Answers: 2
. Now analysing the free body diagram for tires car, we can find:
, and 
. Then applying Newton's second law we get:
and 
, and replacing ax and ay we can find F and N as:
and
. But the car has to take the curve without skidding so 
so that replacing F and N in this equation we get:
. Finally replacing the values and solving for vmax we can find the higher speed as:
.
.
.
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Ahighway curves to the left with radius of curvature of 31 m and is banked at 24 ◦ so that cars can...
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