The board is used to hold the end of a four-way lug wrench in position. A torque of 40 N.m about the x-axis is required to tighten the nut. You decided to step at the end of the wrench in order to turn it. Assume that the force provided by your foot can be modeled as a concentrated force at point A with magnitude F. We also assume that the force vector F lies in the vertical plane y-z and makes an angle with the y-axis.
a) Determine the moment Mo of the force F about a point located at the nut. Write your answer as a function of F (force magnitude) and?
b) Does all of Mo act to turn the nut? Explain
c) Determine the magnitude of the force required to tighten the nut if ? = 50o
d) Which angle would require the least amount of force? What would eb the corresponding magnitude of the force?
e) What is/are the benefit(s) from using a board to hold the end of a four-way lug wrench?