Calculating Components and Magnitude of Forces and Acceleration

AI Thread Summary
The discussion focuses on calculating the components and magnitude of forces acting on a mass of 0.52 kg due to two forces, F1 and F2, with specified magnitudes and angles. Participants are tasked with determining the x and y components of each force, the resultant force, and the resulting acceleration. There is confusion regarding the completion of these calculations, particularly for the resultant force. The thread highlights the need for clarity in understanding vector addition and the application of trigonometric functions to resolve forces. Accurate calculations are essential for determining the overall effect of the forces on the mass's motion.
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Homework Statement


Forces F1 and F2 act on a mass m = 0.52 kg, as shown in the diagram below.
The magnitudes of the forces and angles are as follows:
F1 = 2.2 N, θ1 = 59 degrees
F2 = 1.7 N, θ2 = 68 degrees

http://loncapa.vcu.edu/res/vcu/delewis/physics/images/Two%20Forces%20(2).jpg


Homework Equations



What are the x and y components of the force F1?
( , ) N


What are the x and y components of the force F2?
( , ) N


What are the x and y components of the sum of these two forces (the resultant force)?
( , ) N


What is the magnitude of the resultant force?
N

What are the x and y components of the resulting acceleration of the mass?
( , m/s2


What is the magnitude of the acceleration?
m/s2


The Attempt at a Solution

 
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