Calculate how much force the jaws of a gripper must apply to hold a part in a vertical plane under the following conditions:

a$.$ The part weighs $40$ pounds and a nonuniform shape.

b$.$ The gripper's jaws are parallel to each other and grasp in a vertical plane.

c$.$ The part is grasped $20$ inches from the center of gravity.

d$.$ The jaws gripping the surface are $15$ inches wide.

e$.$ The part is $1\mathrm{.}5$ inches thick at the point where it is being grasped.

f$.$ The part is being lifted with a maximum acceleration of $96\mathrm{.}6f\frac{t}{s\frac{ec}{sec}}.$

g$.$ The coefficient of friction between the part and the gripper is $0\mathrm{.}65.$

h$.$ A safety factor of $2$ must be included.

Figure $1$ depicts the situation.