Ring moving along frictionless arc

AI Thread Summary
The problem involves a 5 kg ring sliding along a frictionless arc with a radius of 1.2 meters, influenced by two forces: a 40N tangential force and a 150N force at a 30-degree angle above the horizon. To calculate the total work done by these forces as the ring moves from points A to B and A to C, one must determine the components of the forces acting parallel to the arc length. The arc length from A to B is given as 1.88 meters. The discussion highlights the need to apply the work formula W = F x D while considering the effective force components along the arc.
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Homework Statement



The ring (m), which weighs 5Kg, is sliding along a frictionless arc (Shown in the draw).
Arc radius - 1.2 meters.
There are 2 forces applied on the ring:
1) F - 40N and always tangent to the circle.
2) F' - 150N, 30 degrees above the horizon.

Calculate the total Work of the two forces when the body is sliding from A to B, and A to C.

Homework Equations





The Attempt at a Solution

 

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What is work defined as? How can you get the component of the force that is working parallel to the arc length? What is the arc length between A and B, B and C? Show some work?
 
The work is defined by W= F x D.

The Arc's length between A to B is 1.88 meters.

I really don't know where to start.
 

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