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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stokholm stokholm · Answer 1 · 2018-11-22T06:19:23+01:00

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 = [tex]400*0.422618 = 169.05[/tex] N

Y component will be fy1 = 400 sin 65

Y component will be fy1 = [tex]400*0.90630 = 362.5[/tex]

Similarly, 600 N force is applied on angle 110degrees, so the components will be

X component fx2 = -600 cos 80

X component fx2 = -[tex]600*0.1736481 = -104.19[/tex]

Y component fy2 = 600 sin 80

Y component fy2 = [tex]600 * 0.98480 = 590.88[/tex]

So, combined X component will be = [tex]169.05-104.19 = 64.86[/tex]

Combined Y component will be = [tex]362.5 + 590.88 = 953.38[/tex]

So, magnitude will be = [tex]\sqrt{64.86^2 + 953.38^2} = 955.58 N[/tex]

So the magnitud of combined force will be 955.58 N. : Answer

Hope it will help :)

rachelsnively66 rachelsnively66 · Answer 2 · 2021-05-04T05:00:45+02:00

Answer:

b on edge

Step-by-step explanation:

:)

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