Tension with circular motion on incline

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Homework Help Overview

The problem involves analyzing the forces acting on a child being spun around on a conical hill, focusing on the tension in the rope used to maintain circular motion. The subject area includes concepts from dynamics and circular motion.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the forces acting on the child and the cart, including normal force, weight, and tension. There is an exploration of the relationship between these forces and the components of tension.

Discussion Status

Some participants have offered guidance on resolving the tension into components and relating them to the forces acting on the system. Multiple interpretations of the forces and their roles in the motion are being explored, but there is no explicit consensus yet.

Contextual Notes

Participants are encouraged to use proper units and clarify the assumptions regarding the system, such as the negligible friction and the configuration of the forces involved.

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Homework Statement



An energetic father stands at the summit of a conical hill as he spins his 23 child around on a 5.6 cart with a 2.3--long rope. The sides of the hill are inclined at 23 . He keeps the rope parallel to the ground, and friction is negligible.

What is the tension in the rope?

Homework Equations


The Attempt at a Solution

 
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Use proper units for the quantities.

Now indentify the forces acting on the child and the cart.
 
the child and the cart act as one.
there is a normal force perpendicular with the hill. there is also the force of its own weight. and a tension force.

right?
 
is that right?
 
Resolve the tension into two components.

Ty balances the weight of the cart and child.

Tx provides the centripetal force which keeps the cart and the child in the circular motion.

Now proceed.
 

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