1)What are the x and y components of the force F 1 ? 2) What are the x and y com

Question

1)What are the x and y components of the force F1?

2)What are the x and y components of the force F2?

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

4)What is the magnitude of the resultant force?
5)What are the x and y components of the resulting acceleration of the mass?

6)What is the magnitude of the acceleration? Forces F1 and F2 act on a mass m = 0.19 kg, as shown in the diagram below. The magnitudes of the forces and angles are as follows: F1 = 2.8 N, ?1 = 42 degrees F2 = 3 N, ?2 = 57 degrees What are the x and y components of the force F1? What are the x and y components of the force F2? What are the x and y components of the sum of these two forces (the resultant force)? What is the magnitude of the resultant force? What are the x and y components of the resulting acceleration of the mass? What is the magnitude of the acceleration?

Explanation / Answer

1) F1x = 3cos(79) = 0.57N, F1y = 3sin(79) = 2.94N
2) F2x = 3.6cos(15) = 3.48N, F2y = 3.6sin(15) = 0.93N
3) Fx = 0.57-3.48 = -2.91N, Fy = 0.93-2.94 = -2.01N
4) (2.91^2+2.01^2)^1/2 = 3.54N
5) -2.91 = 0.79a so ax = -3.68m/s^2, -2.01 = 0.79a so ay = -2.54m/s^2
6) -3.54 = 0.79a so a = -4.48m/s^2

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