Solution of the K2 Figure 0 5 conv (version 05) Targ SM 89

Solution of K2 Option 05: The mechanism consists of a stepped wheels 1-3 meshed or associated belt drive, the toothed rack 4 and the load 5, anchored to the end of thread wound on one of the wheels (Fig. K2.0, Tab. K2 ). Radii stages wheels are respectively equal to the wheel 1 - r1 = 2 cm, R1 = 4 cm, the wheel 2 - r2 = 6 cm, R2 = 8cm, the wheel 3 - r3 - 12 cm, R3 = 16 cm. Rims wheels are the points A, B and C. In the column "given" law of motion of the table is specified, or the law of change of speed driving link mechanism where φ1 (t) - the law of rotation of the wheel 1, s2 (f) - the motion of the rack 4, ω2 (t ) - the variation of the angular velocity of the wheel 2, v5 (t) - the variation of the speed of the load 5, and so on. d. (φ everywhere expressed in radians, s - in centimeters, t - in seconds). The positive direction for φ and ω counterclockwise for s4, s5, and v4, v5 - down. Determine at time t1 = 2 listed in the table in columns "Find" speed (v - linear, ω - angle) and acceleration (a - linear, ε - angle) of the respective points or bodies (v5 - load velocity and 5 m. d.).