The constant angular velocity of the crankshaft of the two-cylinder engine (Fig. P15.29, next page) is

ω = 250kˆ rad/s. Determine the x and y components of the primary shaking force in terms of the crank angle θ, and determine the magnitudes and orientations of the correction masses. The correction masses are to be added at a radial distance RC =

50 mm from the crankshaft axis. Determine the answers when the reference line (attached to crank 1) is specified at the crank angle θ = 30◦ .