(Solved): Instructions: Consider the slider-crank mechanism below, which drives an internal combustion engin ...

Instructions: Consider the slider-crank mechanism below, which drives an internal combustion engine. The dimensions are given below: Link1 - Crank L? = 0.0635 m, C? = 0 m (crankshaft statically balanced), Mass m? = 0.07 kg 1 2 Moment of inertia I? = —— * m? * L?² 12 Link2 - Coupler L? = 0.2794 m, C? = 0.1397 m, Mass m? = 0.052 kg Moment of inertia l? = * M? * L?² Link3 - Piston Mass m3 = 0.054 kg. The piston diameter is 0.127m and the angular speed of the crank is constant at 500 rpm. Assume that the gas pressure during the power stroke varies as shown. 0 360 B 12 Gas Pressure (psig) 300 180 Crank Angle (deg.) 2. Construct the Dynamics Matrix Modeling the two links and the piston as free bodies, find the matrix representation of each body's dynamics. There is a horizontal piston force (given) at B and an output torque T? at O. Find the matrix representation of the system dynamics by combining the three smaller matrix equations into one big matrix equation.