(Solved): Work-out problem 2 ( 25 points) In this simplified engine, the piston, centered at point A, is acc ...

Work-out problem 2 ( 25 points) In this simplified engine, the piston, centered at point $$A$$, is accelerating downward with a velocity of $$v_A=2.4\mathrm{m}/\mathrm{s}$$ and an acceleration of $$a_A=8.4\mathrm{m}/{\mathrm{s}}^2$$. As it does so, it moves the connecting rod, $$AB$$, and causes the crankshaft to rotate about point $$\mathrm{C}$$. The length of the connecting rod is $$L=100\mathrm{mm}$$, and the crank radius is $$R=60\mathrm{mm}$$. (a) What is the angular velocity of the crankshaft, centered at C? (b) What is the angular acceleration of the rod $$AB$$ ? (c) What is the angular acceleration of the crankshaft, centered at C?