Recent content by Sam Jelly

I thought the initial elastic potential energy would be converted to the arrow's kinetic energy but it also appears that the bow has some velocity.

Oh yes I forgot the -sin theta. I was also confused, at first I thought they ignored the -L/2 w^2 sin theta because it’s like in the radial direction.

It’s the acceleration at any point in time.

Yes, the question is to find the linear acceleration in term of the angular acceleration. But my answer seems to be different.

This is the answer to this question why? My attempt :

I am familiar with calculus. The actual problem is to find the d(v relative)/dt and the center of mass acceleration. Right now I am trying to solve this problem using the 2 body system.

I see, is there any way to calculate the normal force?

It’s zero. So does that mean my Normal force here is incorrect?

It’s a problem from my high school class. We are studying about 2 body systems like reduced mass and center of mass etc. I am confused why all external forces in the vertical axis all cancel out.

How can I calculate Acm in the y axis? I know that the center of mass is accelerating down in the vertical axis but I don’t know how to calculate the external forces acting on it.

All the external forces are in the vertical direction but it all cancels out.

Why is the center of mass acceleration zero? Did I do anything wrong?

I am trying to solve this problem without using energy conservation. How can I solve this using the 2 body system and center of mass. I know that in order for mass m at the bottom to be slightly off the ground the reaction force must be equal to zero. I don’t know if the reaction force before...

I assumed that mass dM was in the center of each plate because the mass is distributed uniformly therefore it will be at the center of mass.

This is my attempt at the solution. x from the equation dF = GmdM/x^2 represents the distance between the circular plate’s center of mass and mass m.