Determine the components of force

In summary, the boy, with a mass of 40kg, is sliding down a spiral slide at a constant speed. His position, measured from the top of the chute, has components r=1.5m, theta=0.7t radians, and z=-0.5t m, where t is in seconds. The components of force for F(r), F(theta), and F(z) exerted on him by the slide at t=2 seconds are -29.4 N for F(r) and 0 for F(theta) and F(z). However, it is possible that the question also requires the components of other forces, such as friction and gravity, to be taken into account.
  • #1
joemama69
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Homework Statement


the boy of mass 40kg is sliding down the spiral slide at a constant speed such that his position, measured from the top of the chute, has components r=1.5m, theta=.7t radians, and z = -.5t m, where t is in seconds. Determine the components of force for F(r), F(theta), and F(z) which the slides exerts on him at the instant t=2. Neglect the size of the boy



Homework Equations



a(r)=r''-r(theta)'^2 F(r)=ma(r)
a(theta)=r(theta)''+2r'(theta)' F(theta)=ma(theta)
a(z)=z'' F(z)=ma(z)


The Attempt at a Solution



I got F(r)=-29.4 N and I got 0 for the other 2 Forces. Is this corect
 
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  • #2
In the way you have answered it, I'd say it looks correct.

But the question seems to ask for the components "for" these forces, and I am not sure that they don't want the components ... you know like the friction force offsetting the acceleration effects from gravity?
 
  • #3
ya lost me, please elaborate
 
  • #4
The boy is sliding down the spiral slide at a constant speed, and r is constant.

Don't forget the boy has weight acting downward.
 

FAQ: Determine the components of force

What is a force?

A force is a physical interaction that causes an object to accelerate or deform. It can be a push or pull, and is measured in units of Newtons (N).

What are the components of force?

The components of force are magnitude and direction. Magnitude refers to the strength of the force, while direction refers to the path or angle of the force.

How do you determine the components of a force?

To determine the components of a force, you can use trigonometry and vector decomposition. This involves breaking down the force into its horizontal and vertical components using the angle of the force and the given magnitude.

Why is it important to determine the components of force?

Determining the components of force can help us understand and analyze the effects of different forces on an object. It also allows us to calculate the net force acting on an object and predict its motion.

Can forces have more than two components?

Yes, forces can have more than two components. For example, a force acting on an object at an angle can have three components: horizontal, vertical, and diagonal. It is important to consider all components when analyzing the overall effect of a force.

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