- #1
ChessEnthusiast
- 115
- 3
Imagine that we wanted to build a slingshot, using one piece of rubber attached to two hooks - each on a side.
We use a rubber, whose spring constant is k.
My questions are:
1. If we began to string that slingshot and the rubber would begin to fold, what would happen with the string constant? Would we need to consider this one rubber as two, separate rubbers with the string constant k?
[tex]\frac{1}{2}mv^2 = \frac{1}{2}kx^2 + \frac{1}{2}kx^2[/tex]
or consider it as one rubber, with string constant 2k
[tex]\frac{1}{2}mv^2 = \frac{1}{2}(2k)(x^2)[/tex]
2. If we were to cut the rubber in half and build two slings with the two rubbers we have just gotten, what would be the string constant of each of these rubbers?
k or k/2?
Could you attach some reference to your answers?
We use a rubber, whose spring constant is k.
My questions are:
1. If we began to string that slingshot and the rubber would begin to fold, what would happen with the string constant? Would we need to consider this one rubber as two, separate rubbers with the string constant k?
[tex]\frac{1}{2}mv^2 = \frac{1}{2}kx^2 + \frac{1}{2}kx^2[/tex]
or consider it as one rubber, with string constant 2k
[tex]\frac{1}{2}mv^2 = \frac{1}{2}(2k)(x^2)[/tex]
2. If we were to cut the rubber in half and build two slings with the two rubbers we have just gotten, what would be the string constant of each of these rubbers?
k or k/2?
Could you attach some reference to your answers?