If you bother with the angle and different planes, you could, but it is more convenient to solve this with vectors.
First, you need to set up vector equations for the 4 forces involved.
Since you can work out the direction of each Force vectors, the magnitudes are the 3 unknowns.
Then, all...
At ideal speed, there's no need for friction to stop the car from sliding, right?
so if the speed is less than the ideal speed, the car would slide down and the friction would counter the motion which is pointing up.
On the other hand, if the speed is higher than the ideal speed, friction...
If the 3 balls are identical and the collisions occur simultaneously. You can immediately deduce that.
The lines of impacts of both collisions pass through the centres and therefore,
\theta_1=\theta_2=\frac{\pi}{6}\\
and\\
v_1=v_2
Then your answer is therefore e=\frac{2}{3}
Hi Simon, Thanks for the reply and thanks for the advice. I've uploaded the free body diagram.
I have considered the case.Then, from the above result.
v^2=\frac{rg(\sin\theta-\mu\cos\theta)}{\cos\theta+\mu\sin\theta}
By solving,
\theta=\arctan\frac{121}{314}≈21.07^\circ\\...
Hi everyone, I'm new to this forum and I'm having some problem with the question below.
Homework Statement
A circular track is banked so that a motor cyclist who travels at 40 km/h in a
horizontal circle of radius 100 m experiences no tendency to side-slip. If the
coefficient of...