Determine the components of force

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Homework Help Overview

The problem involves a boy sliding down a spiral slide at a constant speed, with specific position components given in terms of time. The task is to determine the components of force exerted by the slide on the boy at a particular moment, while neglecting the boy's size.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the calculated force components, with one participant questioning whether the original poster has considered all relevant forces, such as friction and gravitational effects.

Discussion Status

The discussion includes attempts to verify the correctness of the force calculations, with some participants suggesting that additional components may need to be considered. There is no explicit consensus on the completeness of the analysis.

Contextual Notes

Participants note that the boy is sliding at a constant speed, which may imply specific conditions regarding acceleration and forces acting on him. The problem's setup raises questions about the interpretation of the forces involved.

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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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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?
 
ya lost me, please elaborate
 
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.
 

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