Solution D6 in 49 reshebnik termehu Targ SM 1982

Solution of the D6 version 49 of Reshebnik on theoretical mechanics manuals SM Targ 1982.
CONDITION TO THE PROBLEM C3 (p. 73-78 in the training manual Targ SM 1982.):
Homogeneous horizontal platform (circular radius R or rectangular with sides and R 2R, where R = 1.2 m) m1 = weight of 24 kg is rotated with an angular velocity ω0 = 10 s-1 around the vertical z axis spaced from the center of mass of the platform on C distance OC = b (Figure D6.0 -D6.9, Table D6..); sizes for all of rectangular platforms are shown in Fig. D6.0a (top view).
At time t0 = 0 the chute platform begins to move (under the influence of internal forces) load D m2 = weight 8 kg law s = AD = F (t) where s is expressed in meters, t - in seconds. At the same time the PA platform, shown in PHC. 0-4, starts to operate a pair of forces with the moment M (given in nyoton-meters, with M <0, its direction is opposite to that shown in the figures); platforms, shown in Fig. 5-9, M = 0.
Define: platforms, shown in Fig. .. 0-4, the relationship ω = f (t), ie, angular velocity platform as a function of time; platforms, shown in Fig. 5-9, - angular speed ω1 platform at time t1 = 1 sec.
The form of the trough in Fig. 0-4 straight (KE trough) in Fig. 5, 6, 7 - a circle of radius R (rim platform) in Fig. 8, 9 - a circle of radius r = 0,5 R, In all the figures shown in the load position D, wherein s> 0 (when s <0, the weight is on the other side of the point A); Fig. 9.5 s = AD distance measured along a circular arc. Playing the drawing of the problem, to hold the z-axis at a predetermined distance OS = L from the center of S.