- #1
Curious_Student
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- Homework Statement
- A pendulum made of an iron bob which is hanged at the bottom tip of a rod (rods' mass can be neglected) where connected to an angular ratio sensor, mesuring with a MultiLab program (just the period of time according to its' harmonic motion, taking avg. of 10 swings-cycles pick-to-pick, devided by 10). Underneath the pendulums' bob there is a small magnet which applies a force in addition to the gravity downwards and impacts the period of time when swinging.
I placed the small magnet underneath on an hydraulic stand for adjusting the distance between the magnet and bob (intervals of 1 mm because the magnet is weak), so that the length of the pendulum is constant, unchanged.
The Quest: is to find pendulums' Period Time dependence on distance between bob and the magnet, then find magnets' force as function of the distance, from measured periiod times.
- Relevant Equations
- Considering it as a simple mathematical pendulum:
T= 2pi*root(l/g)
linear: T^2 = 4pi^2/g*l
This is all the info. I got, no such magnetic formulas.
I think the way they direct is to treat the Magnetic Force as a Variable (x) and adding it and the distance, somehow.. to the formula above,
Because as we did before (finding period time as function of length T^2(l)), I was told to do in a similar way, building a linear graph and finding the value from the relation.
But im stuck..
How can I add the magnets' force and its' distance into this formula?
Anything else conastant (length,pi,g..)
If anybody can to just throw me a clue.. I am really confused.
I have measurements of period time and distances that's all:
I thought about adding the magnetic force like: T=2π*√l/(g+x) but have no clue how to integrate the distance there,
I don't know even how to start..
Appreciate any kind of help,
Thanks in advance!
T (sec) | D (m) |
0.9 | 0.008 |
0.91 | 0.009 |
0.97 | 0.01 |
0.98 | 0.011 |
1.06 | 0.012 |
I thought about adding the magnetic force like: T=2π*√l/(g+x) but have no clue how to integrate the distance there,
I don't know even how to start..
Appreciate any kind of help,
Thanks in advance!