Chapter 05, Problem 082 In the overhead view of the figure, five forces pull on

Question

Chapter 05, Problem 082 In the overhead view of the figure, five forces pull on a box of mass m - 7.4 kg. The force magnitudes are F1 - 12 N, F2 19 N, F3 -3.4 N, F4-16 N, and Fs -6.0 N, and angle 64 is 29°. Find the (a) x-component and (b) y-component of the box's acceleration, and also give the acceleration as (c) 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.) Fo (a) Number Units Units| Units Units b)Number (c) Number (d) Number

Explanation / Answer

Net forces along x axis

Fx= 16 cos 29 - 12 + 3.4= 5.4 N

Net vertical forces

Fy= 6+ 16 sin 29 - 19= -5.243 N

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a)

ax= Fx/m= 5.4/7.4= 0.73 m/s^2

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b)

ay= Fy/m= -5.243/7.4= 0.709 m/s^2

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c) magnitude

a= sqrt(ax^2+ ay^2)= 1.048 m/s^2

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Angle= - arctan (0.709/0.73)= - 44.16

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Comment in case any doubt.. good luck

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