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17.11.2019 •
Mathematics
The walker family is building a cabin for vacationing. mr. walker and his son terrell have erected a scaffold to stand on while they build the walls of the cabin. as they stand on the scaffold terrell pulls on a rope attached to a support beam with a force of 400 newtons (n) at an angle of 65 with the horizontal. mr. walker pulls with a force of 600 newtons at an angle of 110 with the horizontal. what is the magnitude of the combined force they exert on the log?
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Ответ:
Alright, lets get started.
Please refer the attached diagram.
400N is applied with angle 65 degrees.
So, there will be two components of the force.
X component will be = fx1 = 400 cos 65
X component will be fx1 =
N
Y component will be fy1 = 400 sin 65
Y component will be fy1 =![400*0.90630 = 362.5](/tpl/images/0378/3846/94d06.png)
Similarly, 600 N force is applied on angle 110degrees, so the components will be
X component fx2 = -600 cos 80
X component fx2 = -![600*0.1736481 = -104.19](/tpl/images/0378/3846/ae708.png)
Y component fy2 = 600 sin 80
Y component fy2 =![600 * 0.98480 = 590.88](/tpl/images/0378/3846/909b2.png)
So, combined X component will be =![169.05-104.19 = 64.86](/tpl/images/0378/3846/ae7f9.png)
Combined Y component will be =![362.5 + 590.88 = 953.38](/tpl/images/0378/3846/e2f57.png)
So, magnitude will be =![\sqrt{64.86^2 + 953.38^2} = 955.58 N](/tpl/images/0378/3846/30870.png)
So the magnitud of combined force will be 955.58 N. : Answer
Hope it will help :)
Ответ: