Question

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?

Answer 1

b on edge

Explanation:

:)

Answer 2

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 =
`400*0.422618 = 169.05` N

Y component will be fy1 = 400 sin 65

Y component will be fy1 =
`400*0.90630 = 362.5`

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`

Y component fy2 = 600 sin 80

Y component fy2 =
`600 * 0.98480 = 590.88`

So, combined X component will be =
`169.05-104.19 = 64.86`

Combined Y component will be =
`362.5 + 590.88 = 953.38`

So, magnitude will be =
`√(64.86^2 + 953.38^2) = 955.58 N`

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

Hope it will help :)