Determine the coefficient of static friction between car and track

In summary, the first conversation discussed a car traveling on a flat circular track with a tangential acceleration of 1.70 m/s2, making it one quarter of the way around before skidding off. The coefficient of static friction between the car and track was determined by equating the work done by the friction and centripetal forces. The second conversation involved three particles connected by rigid rods, with masses and positions given (y=3m, 4kg, y=-2m, 2kg, y=-4m, 3kg). The moment of inertia about the x-axis and the total rotational energy were found to be 92 kg∙m^2 and 184 J, respectively
  • #1
HurricaneH
10
0
Any help will be aprreciated...

1. A car traveling on a flat circular track accelerates uniformly from rest with a tangential acceleration of 1.70 m/s2. The car makes it one quarter of the way around the circle before skidding off the track. Determine the coefficient of static friction between car and track.

2. Three particles are connected by rigid rods of negligible mass lyuing around the y axis. (y=3, y=-2, y=-4). If the system rotates about the x-axis with an angular speed of 2 rad/s, find (a) the moment of inertia about the x-axis and the total rotationaly energy evaluated from 1/2Iw2 and (b) the linear speed of each particle and the total energy evaluated from (sigma)1/2mivi^2.

Just point me in the right direction...
 
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  • #2
1.The friction force is a centripetal force.Equate the work done by the 2 forces & extract µ.
2.This is simple.What ideas do u have for it...?

Daniel.
 
  • #3
forgot the weights...

y=3m, 4kg, y=-2m, 2kg, y=-4m, 3kg

I= (4)(3)^2 + (2)(2)^2 + (3)(4)^2
I= 92kg
 
  • #4
o_O

RE= 1/2Iw^2

1/2(92)(2)^s

(46)(4)

184 J...
 
  • #5
Yes,it's okay.Basically your problem's done. :smile: The last point is as easy as it was the first.

Daniel.
 

1. What is the coefficient of static friction and why is it important in determining the stability of a car on a track?

The coefficient of static friction is a measure of the amount of friction between two surfaces that are not moving relative to each other. It is important in determining the stability of a car on a track because it affects the car's ability to grip the track and maintain control while turning or accelerating.

2. How is the coefficient of static friction between a car and a track determined?

The coefficient of static friction between a car and a track is determined by conducting experiments where different amounts of force are applied to the car and the resulting acceleration is measured. The coefficient is then calculated by dividing the maximum force of static friction by the normal force between the car and the track.

3. What factors can affect the coefficient of static friction between a car and a track?

The coefficient of static friction can be affected by several factors, including the materials of the car and track, the surface texture of the track, and the weight of the car. Other factors such as temperature and the presence of any contaminants on the surface can also impact the coefficient.

4. How does the coefficient of static friction affect a car's performance on a track?

The coefficient of static friction directly affects a car's performance on a track by determining its ability to maintain traction and control while navigating turns and accelerating. A higher coefficient means the car can grip the track better and therefore have better stability and control.

5. Are there any safety concerns related to the coefficient of static friction on a car and track?

Yes, the coefficient of static friction is an important factor in ensuring the safety of drivers and spectators on a track. A low coefficient can result in a car losing control and potentially causing accidents. It is important for track designers and car manufacturers to carefully consider and optimize the coefficient of static friction to ensure the safety of everyone involved.

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