Static friction on banked curve

AI Thread Summary
To determine the minimum coefficient of static friction for a car traveling at 91.8 km/hr on a banked curve with a radius of 89.0 m, the angle of banking (theta) was calculated to be 24.03 degrees. The equations involving normal force and gravitational force were used, but the initial attempt to find the coefficient of static friction was incorrect. The static friction's role was clarified, emphasizing its horizontal and vertical components in relation to centripetal force and vertical force balance. A detailed drawing was requested to illustrate the calculations, leading to further clarification of the problem. Ultimately, the correct approach was confirmed by a participant in the discussion.
runner2392
Messages
9
Reaction score
0
If a curve with a radius of 89.0m is perfectly banked for a car traveling 71.0km/hr, what is the minimum coefficient of static friction for a car not to skid when traveling at 91.8km/hr?

I figured out theta = 24. 03degs from the equations F(normal)*cos(theta) = mg and F(normal)*sin(theta) = m(v^2/r).

Then to find mus, I tried: m(v^2/r) = F(normal)sin(theta) -F(static f). For F(normal) I substituted mg/cos(theta) but ultimately I got the incorrect answer. Can someone please help?
Thanks
 
Physics news on Phys.org
Make a drawing and show your work in detail, please. The static friction acts along the load: It contributes with its horizontal component to the centripetal force, and its vertical component has to be taken into account in the equation for the vertical force components.

ehild
 
How did you calculate with the friction?

ehild
 
figured it out
 
Last edited:
Thread 'Collision of a bullet on a rod-string system: query'

Thread 'Collision of a bullet on a rod-string system: query'

In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
View full post »
Thread 'A cylinder connected to a hanged mass'

Thread 'A cylinder connected to a hanged mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

What is the Needed Coefficient of Static Friction for a Car on a Banked Curve?
Replies
16
Views
2K
A rod that falls while rotating from the end of a table
Replies
11
Views
2K
Spherical ball rolling back and forth in a bowl
Replies
24
Views
1K
Friction direction change in a inclined circular bend (car on a road)
Replies
11
Views
996
Cars rounding a slippery banked corner in the rain
Replies
20
Views
3K
Car on a hill - reasoning for static friction
Replies
5
Views
7K
Centripetal Force: Find banking angle on a roadway
Replies
15
Views
4K
Block sliding on vertical track with friction (Solved problem)
Replies
4
Views
2K
How can we model a rolling truck on an incline using rotational motion analysis?
Replies
24
Views
2K
Magnitude of the force of static friction
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top