The normal force on tires in a banked curve with friction can be calculated using the equation ΣF = m * v²/r, where m is the mass of the car (800 kg), v is the speed (85 km/h), and r is the radius of the curve (150 m). The angle of the bank (10 degrees) affects the distribution of forces, including the gravitational force and the frictional force acting on the tires. The normal force cannot be simplified to Fn = mg/cos(10) due to the presence of horizontal forces from angular motion, which must be accounted for in the calculations.
PREREQUISITESPhysics students, automotive engineers, and anyone interested in understanding the dynamics of vehicles on banked curves with friction.
nns91 said:Homework Statement
Radius 150m, angle is 10 degree, mass of the car 800kg, speed 85 km/h.
Find the normal force on the tires exerted by the pavement. ( There is friction)
Homework Equations
[tex]\Sigma[/tex] F= m* v^2/r
The Attempt at a Solution
The friction makes it's so complicated. I know that Fn= mg/cos10 will not work.
Can anyone help me ?