Given: crank mechanism is placed in vertical plane and consists of 3 members: (1) crank 1 – homogeneous bar of mass m1=4kg and length l=47cm; (2) connection rod 2 – homogeneous bar of mass m2=10kg and the same length l=47cm; (3) piston 3 of mass m3=10kg. Crank 1 rotates clockwise and its position is specified by angle of rotation θ.
Mechanism starts moving from the state of rest at horizontal position (θ0=0) under the action of only gravity forces.
Find: absolute value (in rad/s) of angular velocity of crank 1 at certain position of mechanism specified by θ1=75degrees — ω1(θ1)=?