The engine shaft S on the lawnmower rotates at a constant angular rate A . Determine

The engine shaft S on the lawnmower rotates at a constant angular rate ω_A. Determine the magnitudes of the velocity and acceleration of point P on the blade and the distance P travels in time t. The shaft S is connected to the driver pulley A, and the motion is transmitted to the belt that passes over the idler pulleys at B and C and to the pulley at D. This pulley is connected to the blade and to another belt that drives the other blade.

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Given: rad S ΤΑ = 75 mm "D = 50 mm @A = 40 rp = 200 mm αA = 0 t = 3 s