What Are the Components of Net Force for a Mass Swinging on a Rope?

AI Thread Summary
The discussion focuses on calculating the net force acting on a 2 kg mass swinging on a rope at a 56-degree angle. The tension in the rope is given as 16.25 N, while the gravitational force is calculated to be -19.6 N. The user is uncertain about the correct approach to vector addition and suspects that the issue lies in the direction of the forces. They attempted to combine the vectors but received incorrect results, indicating a misunderstanding of force direction. Clarifying the vector components and their respective directions is essential for solving the problem accurately.
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Homework Statement


2 kg mass swings on the end of a rope as shown in the figure below. At the highest point in the trajectory the string makes a 56 degree angle with respect to the horizontal and the tension on the string is 16.25 N.

= (No Response) N

Homework Equations


So I know I need to the direction of Ft and Fg.
Ft^hat=<cos(56),sin(56),0>
Fgrav^hat=<cos(56),sin(56),0>
Ft=16.25
Fgrav=-19.6

The Attempt at a Solution


So I'm not quite sure what to do now. The way I tried doing it was adding the two vectors times their magnitudes and finding the magnitude of that vector but I get the wrong answer. I feel that the problem is in directions of my forces but I don't understand why.
 

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