K2 Variant 13 (Fig. 1, condition. 3) solution Termeh Ta

Solution to the problem K2 Option 13 on the thermo from the task book Targ S.М. 1988. Condition for the task from the section Kinematics 2 (p. 22 in the training manual Targ S.M.): The flat mechanism consists of rods 1 - 4 and slide B connected to each other and to the fixed supports O1 and O2 by hinges (Fig. K2.0-K2.9). Rod lengths: l1 = 0.4 m, l2 = 1.2 m, l3 = 1.4 m, l4 = 0.8 m. The position of the mechanism is determined by the angles a, b, γ, phi, tetta, which, together with other quantities are given in table. K2. Point D in all figures and point K in fig. K2.7-K2.9 in the middle of the corresponding rod. Determine the values ​​indicated in the table in the “Find” column. Find also the acceleration aA of the point A of the rod 1, if the rod 1 has an angular acceleration ε1 = 10 s-2 at a given time. The arrows in the figures show how the corresponding angles should be laid off when constructing the drawing, i.e. clockwise or counterclockwise (for example, the angle γ in Fig. 1 should be deferred from the DE rod counterclockwise, and in Fig. 2, from the AE rod clockwise). The construction of the drawing begins with a rod, the direction of which is determined by the angle α; Slider B and its guides for greater clarity depict, as in the example of K2 (see. Fig. K2). Consider a given angular velocity directed counterclockwise, and a given velocity vB from point B to b.