Problem

Bars AB and BC are uniform with masses mAB = 2 kg and mBC = 1 kg, respectively. Their leng...

Bars AB and BC are uniform with masses mAB = 2 kg and mBC = 1 kg, respectively. Their lengths are L = 1.25 m and H = 0.75 m. Bar BC is pin-connected to a fixed support at C that is a distance δ = 0.2 m from the ground. Bar AB is pin-connected at A to a uniform wheel with radius R = 0.60 m and mass mOA = 5 kg. Note that A is at a distance ρ from the center of the wheel. At the instant shown, A is vertically aligned with O; in addition, AB and BC are parallel and perpendicular to the ground, respectively. At this instant, bar BC is rotating clockwise with an angular velocity of 2 rad/s and an angular acceleration of 1.2 rad/s2. Assuming that the wheel rolls without slip, determine the force P that is applied to the wheel at the instant shown. In addition, determine the minimum static coefficient of friction necessary for the wheel not to slip.