Physics - 16.5 Simple Harmonic Motion - 2 Springs (1 of 5) 2 Equal Springs, 1 Mass

In this video I will find v(x)=?, a(x)=?, x(t)=?, w0=? of a block attached to 2 springs which are attached to walls.

Next video can be seen at:

[qasimbhaloo]

Why does x(t) use sin instead of cos? say the object was stretched to A and released at t=0. Then using your equation x(0)=A and x(0)=A*sin(w0) = A*0=0; however A does not equal 0. Using cos we'd get x(0) = A = Acos(w0) = Acos(0) = A*1 = A

[Raquel_Incorporated]

Hi there, great video as usual. Think it is worth noting for anyone else wondering this that the force required to compress a spring by distance x is the same as the force required to stretch the spring by distance x. (i.e. both forces are F=-kx). Hence we can say the force on the mass is F(total)=-2kx. Took me a little while to understand why the energy of the system was kA^2 but if you integrate F (dot) dx and use these forces then you get the answer he gets in the video. Hope that helps :)

[misterentername]

Is there a video on oscillation of the 2 equal springs but going up and down on a table int the y direction instead of x (no friction and mg influence)

[omishasingal]

What is both the springs are connected in series???

[daisyhooper]

Do the same concepts apply for strings or I it different say if it is pulled to one side the other string goes slack?

[sicodrone]

Why wasn't the kinetic energy multiplied by 2? From the basic principles of math: if one side is multiplied by sth the other side has to be multiplied as well. Then
2(Et)= 2[PE+KE] => 2Et= 2PE +2KE

[chrishewitt]

how do you show b^2 > a(2h+a) when the spring hits the celiing

[kotzzz]

nice coincidence, i just started this chapter at school...
great vid !

[Narblo]

How would a system of m1 <-> m2 <-> wall be called? I mean a two body coupled with an ocilator and one of them coupled to a static object?

[gaganmalik]

What if the second spring was not attached, only one of them was attached?

[nhs.]

What if one of the spring is damper? Is it still the same???

[JohnnyYenn]

Would this be a good one to try using the LaGrangian?