Rotation of bar OA is controlled by the lead screw which imparts a horizontal velocity v to collar C and causes pin P to travel along the smooth slot. Determine the values of r and ô, where r = OP, if h = 160 mm, x = 120 mm, and v = 25 mm/s at the instant represented. P C A

The outer radius of the spool is R = 0.65 m and the radius of the inner hub is r = 0.35 m. Determine the magnitude of the acceleration of point A if ao = {(0.4)i} m/s?, vo = {(1)i} m/s and the spool rolls without slipping. The answers are given in m/s?. Note that O and A are at the same height. A R

At the instant θ = 40 ∘, the bottom A of the L = 13 ft ladder is slipping with velocity vA = -11 ft/s and acceleration aA = -6.5 ft/s2 .  (Negative sign for: clockwise rotation, left, and down motion). Determine the velocity of end B of the ladder?   Determine the ladder's angular velocity at the given instant?   Determine the ladder's angular acceleration?   Determine the acceleration of end B?

Please give detailed the solution, Don't just write the equations. (Complete free body diagram must be drawn , Including components)

The hydraulic cylinder gives pin A a constant velocity v = 2.0 m/s along its axis for an interval of motion and, in turn, causes the slotted arm to rotate about O. Determine the values of r, r, and 0 for the instant when 0 = 32°. (Hint: Recognize that all acceleration components are zero when the velocity is constant.) Answers: r = 7 = 0 = A i i i 0 34 260 mm- m/s m/s² rad/s²

only HANDWRITTEN answer needed ( NOT TYPED)