$(40$ pts $)$ An engine is mounted on a pylon beneath wing as shown on the left below. A simplified pylon with riveted joints is shown on the right below. The engine center of gravity is noted with

$1$

respect to the attachment bolt pattern centroid. The pylon is attached to the rib via $4$ bolts in the pattern shown on the right below. All bolts have the same size and their locations about the bolt pattern centroid are denoted on the right below.

The engine thrust is $T=5000lbs.$ The self$-$weight of the engine is $W=1000lbs.$

Compute the margin of safety for all the four bolts. The ultimate bolt shear allowable force for all bolts is $30000$ lbs$.$ ONLY SOLVE IF YOU KNOW WHAT YOU ARE DOING THANK YOU!