Determine the magnitude of the vertical force F acting on the handle of the wrench so that this force produces a component of moment along the AB axis (x axis) of the pipe assembly of (M_A)_x=\left\{-5i\right\} N•m. Both the pipe assembly ABC and the wrench lie in the x-y plane. Suggestion: Use a scalar analysis.

#### Solution:

Show me the final answer↓

As with the previous question, we will use scalar analysis. Let us calculate the perpendicular distance from the x-axis to force F as follows:

The distance d can be calculated using geometry.

d=0.15\sin45^0+0.2\sin45^0

d=0.2475 m

d=0.2475 m

Let us now write an equation for the moment along the x-axis.

M_x=\sum M_x

M_x=(F)(d)

M_x=(F)(d)

Substitute the values we know:

-5=(-F)(0.2475)(Force F is negative because it is applied downwards (negative z-axis))

F=20.2 N

#### Final Answer:

F=20.2 N