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0 answers
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Issue with work vs force for calculating spring constant [duplicate]

Lets say I have a spring with spring constant k. I put a 10kg weight on the spring and it compresses the spring one meter before stopping. We know that at this point the downwards force is equal to ...
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2 answers
223 views

Differentiating displacement with respect to speed in order to obtain time

I have this problem where I am trying to calculate $d(t)$ and $v(t)$ of a mass m on a spring, dropped from a displacement $A$, without using anything else than Hooke's law and energy calculations. ...
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1 answer
2k views

calculating the length of a hanging spring

If we assume the slinky to have a uniform mass (mass per unit length around the circumference of slinky to be constant, or simply slinky is made of same material and has uniform thickness) and that ...
1 vote
2 answers
144 views

Why can I assume the force to be constant in this particular interval?

If I have force, or any function $f(z)$, I was told that I can assume it to be constant only in the interval $dz$. However, in this case, I had to calculate the work done by the spring force as a ...
1 vote
2 answers
1k views

Proof that SHM is sinusodial?

If we have an object attached to a spring, and the net force on that object is $-kx,$ how do we prove that its motion (if you move the object to $x\ne 0$) is sinusoidal? I know that you must ...