- #1

bremenfallturm

- 42

- 10

- 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

$$\sum \vec F = m \vec a$$

Hello!

I have this problem from an old exam I'm trying to solve. The problem is in Swedish so I've translated it:

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 wrote $$C\neq 1$$ in the picture below. The correct problem statement is above.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.

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!