The 8.8 n weight is in equilibrium under the influence of the three forces acting on it. the f force acts from above on the left at an angle of α with the horizontal. the 6.7 n force acts from above on the right at an angle of 56◦ with the horizontal. the force 8.8 n acts straight down. f 6.7 n 8.8 n 56 ◦ α what is the magnitude of the force f? answer in units of n.

F = 14.83N

Explanation:

According to the given data:

F1 = [0, -8.8]N

F = [Fx,Fy]

F3 = [-6.7*cos(56°),-6.7*sin(56°)]N

The sum of forces on the x-axis, will be:

   =>     Fx = 6.7*cos(56°)

Fx = 3.75N

The sum of forces on the y-axis, will be:

   =>     Fy = 6.7*sin(56°)+8.8

Fy = 14.35N

The magnitude of F is: F = 14.83N   at an angle of 14.65° above the horizontal

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