Vectors (magnitude and direction) for forces in this diagram

Once you have calculated these values, you can use them to construct a model of the forces acting on the system. In summary, to show the forces in the diagram, you will need to use the equations for the radial and transverse components, as well as the gravitational component, and the given values for x, y, θ, ω, and α.
  • #1
Mardoxx
17
0

Homework Statement


Rn25b.png

I have x, y, theta, omega and alpha at any given t so that's not a problem if they're needed.
I need magnitude and direction for the forces in the diagram to show them in my model.


Homework Equations


Transverse component: [tex]mr\dot{\omega} = mr\ddot{\theta}[/tex]
Radial component: [tex]mv^2 = mr\omega^2[/tex]


The Attempt at a Solution


Code:
radial.axis = v.vector(-x,5-y)/(v.mag(v.vector(cos(2.1*5*s[1]**2),sin(2.1*5*s[1]**2))))
	transverse.axis = -v.vector(x,y)/(v.mag(v.vector(cos(2.1*5*alpha),sin(2.1*5*alpha))))
but that doesn't work properly, also I'm missing the mg component down...
help? :P

Thanks in advance!
 
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  • #2
The forces acting on the system can be broken down into three components: a radial component, a transverse component, and a gravitational component. The radial component is given by the equation mv^2 = mrω^2, where m is the mass of the particle, v is the speed of the particle, r is the radius of the circular path, and ω is the angular velocity. The transverse component is given by the equation mrω = mrα, where m is the mass of the particle, r is the radius of the circular path, and α is the angular acceleration. Lastly, the gravitational component is simply mg, where m is the mass of the particle and g is the acceleration due to gravity. To determine the magnitude and direction of these forces, you will need to use the values given for x, y, θ, ω, and α at any given time t.
 

What is a vector?

A vector is a mathematical quantity that has both magnitude (size) and direction. It is represented by an arrow in a diagram, with the length of the arrow representing the magnitude and the direction of the arrow representing the direction.

What is the magnitude of a vector?

The magnitude of a vector is its size or length. It is represented by the length of the arrow in a diagram. It is usually measured in units such as meters or newtons depending on the context.

What is the direction of a vector?

The direction of a vector is the angle at which it is pointing in relation to a reference point. It is usually measured in degrees or radians.

How are vectors represented in diagrams?

Vectors are typically represented by an arrow in a diagram, with the length of the arrow representing the magnitude and the direction of the arrow representing the direction. The arrow is usually labeled with the vector's name or symbol.

How are vectors used in science?

Vectors are used in science to represent physical quantities such as force, velocity, and acceleration. They are also used in mathematical calculations and equations to describe the relationship between different quantities and their direction.

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