A pushes with force of 300 N at 25 degrees. B pushes with force of 275 N at 160 degrees. C pushes with force of 325 N at 300 degrees. Find resultant force.

Here is a general solution:

Resultant= 300Cos25i + 300Sin25j+275Cos160i+275Sin160j+ 325Cos300i + 325Sin300j

where i is the axis angles are measured from.

Do the math above, then resultant force is the remainder.

F1 = 300 N @ 25 deg., F2 = 275 N @ 160

deg, F3 = 325 N @ 300 deg.

X = hor.=300cos25+275cos160+325cos300,
X = hor.= 271.9 + (- 258.4) + 162.5,
X = hor.= 176 N.

Y=ver.=300sin25 + 275sin160+ 325sin300
Y = ver. = 126.8 + 94.1 + (-281.5),
Y = ver. = -60.6 N.

tanA = Y/X = -60.6 / 176 = -0.3443,
A = -19.0 deg. = 341 deg. CCW.

R = X / cos341 = 176 / cos341 = 186.1 N @ 341 deg. = Resultant.

To find the resultant force, we need to add up the individual forces taking into account their direction. The resultant force is the vector sum of the individual forces.

First, let's find the horizontal and vertical components of each force.

Force A:
- Magnitude = 300 N
- Angle = 25 degrees

Horizontal component of force A = 300 * cos(25)
Vertical component of force A = 300 * sin(25)

Force B:
- Magnitude = 275 N
- Angle = 160 degrees

Horizontal component of force B = 275 * cos(160)
Vertical component of force B = 275 * sin(160)

Force C:
- Magnitude = 325 N
- Angle = 300 degrees

Horizontal component of force C = 325 * cos(300)
Vertical component of force C = 325 * sin(300)

Now, let's add up the horizontal and vertical components separately:

Horizontal component of resultant force = Sum of horizontal components of all forces
Vertical component of resultant force = Sum of vertical components of all forces

Horizontal component of resultant force = (300 * cos(25)) + (275 * cos(160)) + (325 * cos(300))
Vertical component of resultant force = (300 * sin(25)) + (275 * sin(160)) + (325 * sin(300))

Finally, we can find the magnitude and angle of the resultant force using the horizontal and vertical components:

Magnitude of resultant force = sqrt((Horizontal component of resultant force)^2 + (Vertical component of resultant force)^2)
Angle of resultant force = atan(Vertical component of resultant force / Horizontal component of resultant force)

Plug in the values and calculate to find the resultant force.