## ParthKohli 3 years ago Classical Mechanics: circular motion

1. ParthKohli

|dw:1370882795176:dw|Find the time when the particles collide.

2. anonymous

What is the thing written on the left side of the diagram?

3. ParthKohli

@kutabs 2 rad/s So this time I tried to do with the fact that $$\theta_1 + \theta_2 = \dfrac{3\pi}{2}$$ and using the equations of motion.

4. ParthKohli

That isn't a problem at all. The problem is that there are more questions. I am not able to figure out $$a_R$$ of each particle at the time of collision.

5. amistre64

is teh acceleration given for the 2rad/sec speed?

6. ParthKohli

Yes.

7. ParthKohli

Ah, no worries, I get it. It's easy to find $$v$$ for each particle after I get the $$t$$. Thank you for the time guys.

8. amistre64

this is then the same as the last question really$-\frac12a_1t^2-v_1t+d_1=\frac12a_2t^2+v_2t+d_2$

9. ParthKohli

$\theta_1 = 2t$$\theta_2 = t + t^2$Thank you, I can manage after that.

10. ParthKohli

I was just having this little confusion that I cleared myself. :-|

11. anonymous

Let them meet at the angle theta as shown |dw:1370883098101:dw| For 1: Covering pi/2+(pi/2-theta)= omega*t For 2: Covering pi/2+theta= omega*t+1/2*alpha*(t^2)

12. anonymous

Now from these two equations 1&2there are 2 variables theta and time (t). Solve them, and you'll get the result.