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

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SUMMARY

The discussion centers on analyzing the components of net force for a 2 kg mass swinging on a rope at a 56-degree angle to the horizontal. The tension in the rope is given as 16.25 N, while the gravitational force acting on the mass is calculated to be -19.6 N. The user struggles with vector addition and the correct direction of the forces involved, indicating a need for clarity on vector components and their magnitudes in this context.

PREREQUISITES
  • Understanding of vector components in physics
  • Knowledge of gravitational force calculations
  • Familiarity with trigonometric functions and their application in physics
  • Basic principles of tension in a swinging mass system
NEXT STEPS
  • Study vector addition and decomposition of forces in physics
  • Learn about the role of tension and gravity in circular motion
  • Explore trigonometric functions, specifically sine and cosine, in force calculations
  • Review examples of forces acting on objects in motion, particularly in pendulum scenarios
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of forces acting on objects in motion, particularly in pendulum-like systems.

cfagan6
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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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