Recent content by Bama_Brian
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Approximating Differential Equations with Taylor Series
"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- Bama_Brian
- Post #6
- Forum: Calculus and Beyond Homework Help
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Approximating Differential Equations with Taylor Series
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...- Bama_Brian
- Post #5
- Forum: Calculus and Beyond Homework Help
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Approximating Differential Equations with Taylor Series
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...- Bama_Brian
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- Circular Particle
- Replies: 8
- Forum: Calculus and Beyond Homework Help
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How to Solve a Pulley and Spring Problem using Calculus
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=...- Bama_Brian
- Post #12
- Forum: Introductory Physics Homework Help
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How to Solve a Pulley and Spring Problem using Calculus
My apologies again: the equation in the last message should be: ay = -10y + 9.81- Bama_Brian
- Post #10
- Forum: Introductory Physics Homework Help
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How to Solve a Pulley and Spring Problem using Calculus
Sorry for the confusion guys. Instead of using x let me switch to the variable y because 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...- Bama_Brian
- Post #9
- Forum: Introductory Physics Homework Help
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How to Solve a Pulley and Spring Problem using Calculus
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...- Bama_Brian
- Post #3
- Forum: Introductory Physics Homework Help
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How to Solve a Pulley and Spring Problem using Calculus
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...- Bama_Brian
- Thread
- Pulley Spring
- Replies: 11
- Forum: Introductory Physics Homework Help