In the overhead view of the figure, five forces pull on a box of mass m = 7.1 kg

Question

In the overhead view of the figure, five forces pull on a box of mass m = 7.1 kg. The force magnitudes are F1 = 12 N, F2 = 16 N, F3 = 2.6 N, F, = 13 N, and FS = 7.2 N, and angle 4 s 26 Find the a x component and b) y component of the box's acceleration, and so g ve the acceleration as a magnitude and (d an angle relative to the positive direction of the x axis. (Note that the angle will be negative if it is below the horizontal.) (a) Number (b) Number c) Number (d) Number Units Units Units Units

Explanation / Answer

Fnet = (2.6 + 13cos26 - 12)i + (13sin26 + 7.2 - 16)j

= 2.28i - 3.1j

a and b)
a = F/m
= (2.28/7.1)i + (-3.1/7.1)j
= 0.32i - 0.44j m/s^2

c)
a = sqrt((2.28)^2+(-3.1)^2)
= 3.85 m/s^2

d)
arctan(-3.1/2.28)
= -54 degree

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