Tension with circular motion on incline

[racer98jc]

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

 

[rl.bhat]

Use proper units for the quantities.

Now indentify the forces acting on the child and the cart.

 

[racer98jc]

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?

 

[racer98jc]

is that right?

 

[rl.bhat]

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.