00:01
In this video, i'm going to be looking at the motion of an object oscillating on the end of a spring.
00:07
Okay, so what we have is a spring attached to a wall.
00:14
Okay, that spring is attached to a sphere, and i'll call this object m.
00:21
The sphere is going to be pulled out a distance d from equilibrium.
00:26
Then we're going to let it go, and it's going to oscillate back and forth.
00:29
K between minus d and plus d.
00:36
Okay, this surface is frictionless, so we don't need to worry about that term.
00:41
Okay, and we're just going to be answering a couple of questions about this object's motion.
00:46
Okay, first we have some values.
00:48
Okay, we have the spring constant of our spring k.
00:52
That equals 26 newtons per meter.
00:57
Okay, i have the mass of my sphere m.
01:00
And that is 3 .5 kilograms.
01:07
Okay, and then i have my distance from displacement.
01:11
So my stretched length is 11 centimeters or 0 .11 meters.
01:20
Okay, so that's all the information we have, and we're going to be answering questions based on that.
01:25
My first question a is how much force is needed to stretch that object from its equilibrium position at x.
01:33
Equals 0 to its stretched out position at x equals 11 centimeters.
01:40
Okay, i'm going to use the equation force equals negative k times x.
01:50
Okay, we're just looking for the magnitude of that force, so i can just take the absolute value of that.
01:56
So i have k, i have x, and putting in those numbers, i get a force of 2 .9 newtons.
02:04
Okay, so that's the force i need to pull on this object width to stretch it out to 11 centimeters...