A displacement is the shortest distance from the initial to the final position of a point P. Thus, it is the length of an imaginary straight path, typically distinct from the path actually traveled by P. A displacement vector represents the length and direction of this imaginary straight path.
I see your point. I guess I put in the Work aspect instead of velocity aspect. But I don't think I was far off about the distance problem. It is going back and forth and every time traveling less and less distance for lesser time. So the whole calculation would require individual calculation of...
The trouble isn't finding the average velocity. It will be zero considering in directional aspect, it goes no where. So its direction vector will be zero. But how many times the bee goes back and forth is the real trouble. Because every second the distance between them decreases so bee travels...
Alright I did the entire math on my notebook. Figured out your equation. its not k/(m.x) is (k/m).x
The use of brackets would've been nice but I got it. And I see now that you directly differentiated twice the value A.sin(w.t) for the last step. Thank you very much for your help!
But what I didn't get is how,
k ⋅ x = - m ⋅ ∂2x / ∂t2
becomes
∂2x / ∂t2 + k/m⋅x = 0
I see no way that displacement and mass can get into a multiplication format with each other. If we cross multiply it then we get, k.x/m + d2x/dt2 = 0
And I thought displacement of a particle in Periodic motion...
I understand the relation between angular velocity and Time period. What I don't understand is the relation between angular velocity and Spring Constant/Force constant (K) which is given as k/m= w2
I was going through Periodic Motion chapter of my book and came across an equation while defining the relation between Time Period of on oscillating particle and force constant.
k/m=w2
which was applied in, T = 2xpie/angular velocity
can anyone please help me define this equation. I can't seem...
Hello guys
I just found out about this forum and really loving the topics discussed here. I hope I can learn from all of you and maybe help others as well. I had an unfortunate fail in physics in my senior year and I have to redo the physics exam with my junior batch (which sucks). So I'm...