Dynamics 17-24| The door has a weight of 200lb and a center of gravity at G. Determine how far...

Question: The door has a weight of 200lb and a center of gravity at G. Determine how far the door moves in 2 s, starting from rest, if a man pushes on it at C with a horizontal force F = 30lb. Also, find the vertical reactions at the rollers A and B.
Problem 17-24 from:
Engineering Mechanics: Dynamics, 14th edition
Russell C. Hibbeler
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These are the questions:
1. Three particles m₁, m₂ & m3 of masses 1.5Kg, 2Kg & 1Kg respectively are placed on a rough surface with, as shown. If a force F is applied to accelerate the blocks at 3m/s², what will be the force that 1.5Kg block exerts on 2Kg block? (Coefficient of friction µ = 0.20)
2. Two blocks 'A' and 'B' are held stationary 10m apart on a 20 deg incline as shown. The cofft. of dynamic friction between the plane and 'A' is 0.3 and for 'B' is 0.1.If the blocks are released simultaneously, find the time taken and the distance traveled by each block before they are on the verge of colliding.
Ans. t = 3.3 * 0.51 sec, x =3 246 m from A
3. In the system of pulleys, masses and connecting inextensible cables shown in the figure, the pulleys and the cables are considered massless and frictionless. Mass of A = 2kg, mass of B = 4kg and mass of C = 6kg. If the system is released from rest find: [a] tension in each of three cables.[b] acceleration of each of the three masses.
Ans. : aA = 4.04m/s21, Т₁ = 27.7KN, ав = 2.89m/s²↓, T₂ = 55.39KN, ac = 0.577m/s², T₃ 55.39KN