Solution D2-22 (Figure D2.2 condition 2 SM Targ 1988)

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Solution D2-22 (Figure D2.2 condition 2 SM Targ 1988)

The mechanical system consists of a rectangular vertical plate 1 with a mass m1 = 24 kg and a load D with a mass m2 = 8 kg; plate or moves around the horizontal guide (Fig. D2.0-D2.4), or rotates around the vertical axis z, lying in the plane of the plate (Fig. D2.5-D2.9). At time t0 = 0, the load begins to move under the action of internal forces along the trough existing on the plate; the law of its motion s = AD = F (t) is given in Table. D2, where s is expressed in meters, t - in seconds. The shape of the gutter in Fig. D2.0, D2.1, D2.8, D2.9 - rectilinear (trough KE), in Fig. A2.2-D2.7 is a circle of radius R = 0.8 m centered at the center of mass C1 of the slab (s = AD in figure D2.2 - D2.7 is counted along the arc of the circle). The plate (Figures D2.0-D2.4) has a velocity v0 = 0 at the instant t0 = 0. The plate (Fig. D2.5-D2.9) has an angular velocity ω0 = 8 s-1 at time t0 = 0, and at this moment the rotational moment M (the moment relative to the axis) given in the table in newtonometers and directed as ω0 for M> 0 and in the opposite direction for M 0; For x <0, the cargo is on the other side of point A.