You are using relative velocities. The only reason I know you're doing it the right way is because any other way I tried it did not work. Therefore it would be extremely helpful if someone could explain it this way. This is the way the professor wants it. And this is the way I should be looking...
Okay. Whoa there. How did you get 0 + 12 + 12 over three? What process gave you these numbers? I know that the centroid of a triangle is 1/3rd the base distance from one of the sides, so it's 2/3rds of the base distance from the bottom left corner of the ramp. But that's how I calculated it...
Have you taken any physics or calculus courses? If you have, then look up basic kinematic equations and start from there. You have two unknowns... one is the time elapsed for each angle theta and each distance traveled, and the second unknown is the initial velocity. That means you need two...
Okay, actually, regarding the F=ma version. I still get the wrong answer. I think I know why this method doesn't work, but then that leaves me with still no right way to solve this problem other than using relative velocities and the center of mass, which I do not know how to do.
Here is why...
Thank you. I don't understand the notation. Well, I do, but honestly it's complicating things for me. Further more, you used the wrong gravitational constant. It's 32.2 for U.S. units, and 9.81 for SI.
And to the previous poster... Thank you for showing me the F=ma version of the problem...
Okay so I went through and solved the problem. However I get the wrong answer. I get 8 feet as the displacement... so here were my steps. I solved for the velocity of the crate at the bottom and got v_crate = -SQRT(18 * g) where g is gravity (g = 32.2 here).
I wrote out the momentum equation...
I thought about using the center of mass, which I have no idea how to even do for a problem like this. No such examples in my textbook exist nor has my instructor hinted at how to do this.
As for the acceleration... This would make sense if the force causing the acceleration of the small...
Okay. So now I have all these velocities, and I have no clue what the next step is. Not even a hint to give myself. My approach would normally be to find a relation between the distance the crate moves from the original position to the distance the ramp moves from the original position. However...
This makes sense. I solved for the velocity of crate A when it reaches the bottom of the ramp, which I obtained using mgh = (1/2) * m * v^2 where h can be found using the hypotenuse and the fact that the triangle is a 3-4-5 triangle.
Is this correct to do?
Also, I have a question...
First you should be asking yourself, "what is going on?". You have an object starting from rest at a certain height, and then it proceeds downward toward a flat surface. Energy is needed to make the object move. Where does this energy come from? Is energy conserved? And finally, What happens to...
Homework Statement
I am doing a practice problem out of the textbook in order to improve my skills. The problem states the following: A free-rolling ramp has a weight of 120 lb. If the 80-lb crate is released from point A (top of the ramp), determine the distance the ramp moves when the crate...