Calculating Sin/Cos/Tan of Theta - Pendulums & Properties

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Discussion Overview

The discussion revolves around the properties of pendulums, specifically focusing on the calculation of trigonometric functions (sine, cosine, tangent) related to the angle theta and its application in determining forces exerted by a pendulum on an object. Participants explore the meaning of theta and phi in the context of pendulum motion and seek clarification on force calculations.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant seeks clarification on the meaning of theta in pendulum problems, suggesting it typically represents the angle between the pendulum's string and the vertical.
  • Another participant points out that the angle may actually be phi, as indicated in a referenced diagram, which is measured anticlockwise from a specific point on the circle.
  • A participant inquires about calculating the force exerted by a pendulum on an object and questions how to control this force, proposing an equation involving mass, angular velocity, and gravitational force.
  • Responses indicate that the calculation of force depends on the specific situation, suggesting variability in approaches.
  • One participant recommends reading about elastic collisions to gain further insight into the dynamics involved.

Areas of Agreement / Disagreement

Participants express differing views on the correct angle to use (theta vs. phi) and the methods for calculating force exerted by the pendulum. The discussion remains unresolved regarding the specifics of force calculation and the appropriate angle to consider.

Contextual Notes

There are limitations in the discussion regarding the assumptions made about the pendulum's motion and the conditions under which the force calculations apply. The references to external resources may not fully address the participants' questions.

BluE
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Hello, I'm studying pendulums and their proporties, and I really need to know the sin/tan/cos of theta. If anyone can help, please help. (And also, I need to know what theta is)

And if you don't understand what I'm asking, please ask and I'll try to explain to the best of my ability.

--Thank you
 
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[itex]\theta[/itex] is a symbol commonly used to denote an angle. What angle? I don't know, you'd have to tell me, since you're the one looking at the problem. Most likely, for a pendulum problem, [itex]\theta[/itex] means the angle between the pendulum's string and a vertical line. This angle is constantly changing as the pendulum swings back and forth.

The sine, cosine, and tangent are functions. They're like little machines: you give them an angle, and they give you back a number. For example, the cosine of zero degrees is one: if you insert "zero degrees" into the "cosine machine," it spits out the number "one."

Maybe you should post the entire problem for us here so we can better help you.

- Warren
 
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Actually, there is no problem, I just don't know what is being talked about. (I really don't know if I even explained it right to you)

http://www.gyogyitokezek.hu/fe/pendtutor1.htm

This is a sight, and the one I'm looking at is the "plane pendulum."

Thanks for your help!
 
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Then you're not talking about theta, you're talking about phi ([itex]\phi[/itex]). The meaning of this symbol is shown in Fig. 2 on the site. It is the angle of the pendulum, measured anticlockwise with respect to some point on the circle (shown there on the bottom of the circle).

- Warren
 
Okay, thanks. But I have another question. If I were to make a pendulum to exert force on an object, how do I calculate how much force the pendulum has and how could I control it?

Do I use this equation?:

[tex]F_{cp}=m\omega^2+mg\cos\phi[/tex]
 
Originally posted by BluE
Okay, thanks. But I have another question. If I were to make a pendulum to exert force on an object, how do I calculate how much force the pendulum has and how could I control it?

Do I use this equation?:

[tex]F_{cp}=m\omega^2+mg\cos\phi[/tex]


Depends on the situation buddy.
 
Okay, say I have a plane pendulum and I want to use it to make contact with a stationary object, thereby causing motion to the object. How do I calculate how much force the pendulum exerts and how can I control it? Say, I know "x" amount of force is needed to move an object from point A to point B. How can I use the pendulum to control and calculate "x" amount of force to give motion to the object?
 
Okay, thank you for your time and help.
 

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