Thanks, Andrew. With your help, I've figured out that my problem was in the integration, forgetting to factor in the cosine of zero being 1.
The e(r) and e(theta) are the unit vectors, as my professor uses them in this class. I don't know how to do the fancy equation editor stuff that you...
1. The stone of mass m=100 kg is placed inside the cup at the end of a rotating arm of length l=3 m. If arm is released from rest at theta=0 and its angular acceleration is given as theta (double dot) = 5 rad/s2 cos t (a) find the acceleration of the stone with theta=pi/4 rad; (b) what is the...
Excellent point! How could I have overlooked that?
I'm still not sure how to derive the expression for this right off, but I'll work on it. Thanks again, Doc Al!
I guess I was of the impression that the tension in the first string was negligible and could be ignored, but I obviously shouldn't make that assumption. Its force of tension is toward the spot in the ceiling it's hung from.
Thanks again!
So it's the tension from the second string, and the force of gravity. Right? The tension from the second string is acting toward the wall, and the force of gravity is of course toward the floor.
By the way, thanks very much for your help!
I believe the only forces acting on the string are the tension from the wall and the force of gravity. The diagram shows the string coming from the ceiling and the lamp, with the other string coming from the wall to the right, and an angle (theta) going between the first string and the x axis. I...
Homework Statement
The owner of a small restaurant needs to move a table in order to have space for a new display. Ordinarily, a lamp of mass m is hanging over the table, suspended from a string attached to the ceiling. With the table in a new position, the lamp needs to be moved. To this end...