You're right, that's a easier way.
So the acceleration in ##y## is:
$$\ddot y=−(R\cos \theta)\dot \theta$$
And ##\dot \theta## is the angular speed ##\omega##, so:
$$\ddot y=−(R\cos \theta)\omega$$
$$=−\frac{R\cos \theta)v^2}{R^2}$$
$$=−\frac{v^2\cos \theta}{R}$$
Knowing the velocity of the...
Thanks for your tip, I tried that method and I don't get any result yet.
Here is my attempt:
Where:
- a_x is acceleration in x.
- a_x is acceleration in y.
- T is tension.
I know that I need to calculate the points where the acceleration is purely horizontal, so I think that I'm searching for...
To solve this problem first I try to use polar coordinates, then I write the forces that I obtain in the free body diagram. That are the gravitational force and the tension force. With this using the second Newton's law I write the forces that are equal to the acceleration in polar coordinates...