"Small oscillations means you need to linearize the trig function. For example, if you have sinx, for small x this is just sinx=x." <-- I have no idea what that means
I wish I knew what assume small oscillations meant. Our teacher has a tendency of giving us random problems from other books he has, so I'm not used to that terminology. From what I can see Θ is just an angle that increases as the particle slides down the curve. At Θ= 90° the particle is at the...
Having trouble with the following problem:
A small particle slides along the bottom of a 10 inch radius circular bowl. Neglect friction and assume small oscillations. If the particle has a speed of 15 in/s when it is at the bottom of the bowl, determine
a. The differential equation governing...
Ok just want to wrap up this post. Wound up getting close with the differential equation path to this problem, but the teacher finally gave us the calculus way to solve the problem. Here's the solution for anyone else that might be struggling with this type problem:
Length equations:
First:
L=...
Sorry for the confusion guys. Instead of using x let me switch to the variable y becuase it makes more sense because the motion is up and down. I wish there was a way to write y double dot in this text editor but I guess not. What I mean by (dd) is y double dot or the second derivative of y with...
Asked the professor again and not much help. Did get one piece of info that was helpful. He said T=kx
My length equation and derivatives: L= 2sa + sk
0= 2va + vk
0= 2aa + ak...
Homework Statement
The mass of block A is 10kg. The block is at rest and the spring has a K = 25N/m is unstretched when the block is in the position as shown. One second after the block is released, find the acceleration and velocity of the block and the tension in the cable. My teacher gave us...