Question

why do we have maximum speed at equilibrium position of a spring?

Answer 1

Thats what happens when a particle is under the influence of a restoring force..

A restoring force as the name suggests is a force that comes into play when something gets distorted.. everything in the nature likes to counter distortion.. if i stretch your skin.. you wouldn't like it.. and so your skin will put a restoring force..

now what is the quality of this is restoring force? .. this force is unique.. u see if you distort little (for ex pull a spring by small displacement) the restoring force is smaller.. cause distortion is small.. now imagine laarrrge displacement.. so large restoring force.

now imagine that you punch a spring. .. what happens?!.. as the spring is being compressed, the restoring force keeps on increasing until it stops.. (full compressed condition).. (velocity zero).. now the spring starts uncompressing.. as it starts uncompressing.. the velocity keeps increasing (the restoring force keeps decreasing).. at equilibrium, the restoring force is zero.. but velocity is highest (cause it was continuosly being accelerated ).. but due to inertia, the spring will go beyond.. and now restoring force flips..

Answer 2

I don't understand everything but I can now somehow see how the velocity is maximum. do we having to forces working on the spring in your example? @Mashy

Answer 3

i didn't get your question ..

Answer 4

you said "imagine you punch the spring".. so we have an applied force and a restoring force, which is described using Hooke's Law right?

Answer 5

nevermind, I'll think about it again later but thank you

Answer 6

i asked you to punch the spring only to set the spring in motion :P... hooke's law is always for the spring force ..

Answer 7

i have shown sequence.. numbered them.. showing force and velocity direction and magnitude = length of the vector