Solution K2 Var. 32, reshebnik termehu Targ SM 1982

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Solution K2 Var. 32, reshebnik termehu Targ SM 1982 Solution K2 Var. 32, reshebnik termehu Targ SM 1982

Meeting the challenge of K2 Option 32 Reshebnik on theoretical mechanics to Taskbook Targ SM 1982.
Subject objectives K2 - Research rotational rigid body motion around a fixed axis.
Check the condition of the task K2 (Pages 35-37, Manuals Targ SM 1982):
The mechanism consists of a stepped wheels 1-3 are connected or meshed transmission belt, the toothed rack 4 and the load 5, the end tied yarn wound on one of the wheels (Fig K2.0 -. K2.9, K2 Table.). The radii of the wheels of stages equal to respectively 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 on the rim. wheels arranged points A, B and C.
In the column "Dano" Table Set law of motion, or the law of change of the driving gear unit speed, where φ1 (t) - the law of rotation of the wheel 1, s2 (t) - the law of motion of the rack 4, ε2 (t); - The law of variation of the angular velocity of the wheel 2, v5 (t) -.. The law of variation load speed 5, and so on (all φ is 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 shown in the table in the column "Find" speed (v - linear, ω - angular) and acceleration (a - line, e - angle) corresponding points or bodies (v5 - load speed 5, and so on. d.).

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