- #1
bremenfallturm
- 68
- 11
- Homework Statement
- A mass m is suspended from the ceiling using a light spring with constant k, and two light pulleys. The mass is also attached to the floor using a light dampener, with constant C. Determine: The period time assuming undampened motion. If C>0, motivate how the period will change.
- Relevant Equations
- Newtons 2nd law
Hello!
I have this problem from an old exam I'm trying to solve. The problem is in Swedish so I've translated it:
in the picture below. The correct problem statement is above.
But that part is not what I have problems with. The answer key says "if the block moves a distance x, the upper pulley moves a distance 2x, and the spring moves a distance 4x" (no further elaboration given). I can not find the last thing, aka. how the spring moves a distance 4x, even though I imagine it's very easy to figure out.
I tried solving it like this:
Forgive me in advance if I used some mechanical terms or had some grammar errors in that solution, I'm not a native English speaker.
Thank you for any help!
I have this problem from an old exam I'm trying to solve. The problem is in Swedish so I've translated it:
NOTE that I accidentaly wroteA mass m is suspended from the ceiling using a light spring with constant k, and two light pulleys. The mass is also attached to the floor using a light dampener, with constant C. Determine: The period time assuming undampened motion. If C>0, motivate how the period will change.
But that part is not what I have problems with. The answer key says "if the block moves a distance x, the upper pulley moves a distance 2x, and the spring moves a distance 4x" (no further elaboration given). I can not find the last thing, aka. how the spring moves a distance 4x, even though I imagine it's very easy to figure out.
I tried solving it like this:
Forgive me in advance if I used some mechanical terms or had some grammar errors in that solution, I'm not a native English speaker.
Thank you for any help!