K3 Option 71 on the theoretical mechanics Targ SM 1983

Meeting the challenge of K3 Option 71 Reshebnik on theoretical mechanics manuals SM Targ 1983.
Conditions K3 problem (p. 25-28 collection Targ SM 1983):
A rectangular plate (Fig. K3.0 K3.5-) or a circular plate of radius R = 60 cm (Fig. K3.6 K3.9-) rotates about a fixed axis at a constant angular velocity ω given in Table. K3 (with minus sign ω direction opposite to that shown in the figure). The rotation axis in Fig. K3.0 K3.3 and K3.8,, K3.9 perpendicular to the plane of the plate and passes through the point O (plate rotates in its plane); Fig. K3.4 K3.7 OO1-rotation axis lies in the plane of the plate (plate rotates in space).
In the BD plate along a straight line (Fig. K3.0-K3.5) or circle of radius R, t. E. On the rim of the plate (Fig. K3.6-K3.9), moving point M. Law its relative motion, expressed by equation s = AM = f (t) (s - in cm, t - in seconds) specified in the Table. R ^ separately for rice. K3.0 K3.5, and Fig. K3.6 K3.9, while in Fig. 6-9 s = AM and is measured by the arc of a circle; ibid given dimensions b and l. In all the figures the point M in the position shown, in which s = AM> 0 (if s <0, the point M is on the other side of the point A).
To determine the absolute speed and the absolute acceleration of the point M at time t1 = 1 sec.