Solution K2-74 (Figure K2.7 condition 4 S.M. Targ 1989)

The solution to problem K2-74 (Image K2.7, condition 4, S.M. Targ, 1989) describes a mechanism consisting of three stepped wheels (1-3), interconnected by a belt drive or gearing, a gear rack (4 ) and a weight (5) tied to the end of a thread wound around one of the wheels (see Image K2.0 - K2.9, table K2). The radii of the wheel steps are: r1 = 2 cm, R1 = 4 cm for wheel 1, r2 = 6 cm, R2 = 8 cm for wheel 2 and r3 = 12 cm, R3 = 16 cm for wheel 3. Points A, B and C located on the wheel rims. The table contains information about the law of motion or the law of changing the speed of the driving link of the mechanism, where φ1(t) is the law of rotation of wheel 1, s2(f) is the law of movement of the rack 4, ω2(t) is the law of changing the angular speed of wheel 2, v5(t ) - law of change in the speed of the load 5, etc. (φ is expressed in radians, s in centimeters, t in seconds). The positive direction for φ and ω is counterclockwise, for s4, s5, v4 and v5 - down. It is necessary to determine the linear (v) and angular (ω) velocities and accelerations (a and ε, respectively) of points or bodies indicated in the “Find” columns of the table at time t1 = 2 s (see table).

The electronic version of the solution to problem K2-74 (Figure K2.7, condition 4, S.M. Targ, 1989) is an excellent digital product that can be purchased in a digital goods store. This product is a description of a mechanism consisting of three gear wheels, a rack and a weight, connected together by a belt drive or mesh. The solution contains information about the radii of the wheel steps, laws of motion, velocities and accelerations of points and bodies of the mechanism at time t1 = 2 s. The product is designed in html style, which makes it attractive and easy to read. Using this product you can easily and quickly solve problem K2-74 and get the necessary results.

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The K2-74 solution is a mechanism consisting of three stepped wheels, a gear rack and a weight tied to a thread wound around one of the wheels. The wheels are engaged or connected by a belt drive, and points A, B and C are located on their rims. The radii of the wheel steps have the following values: for wheel 1 - r1 = 2 cm, R1 = 4 cm, for wheel 2 - r2 = 6 cm , R2 = 8 cm, wheel 3 - r3 - 12 cm, R3 = 16 cm.

The table shows the laws of motion or changes in the speed of the driving link of the mechanism, where φ1(t) is the law of rotation of wheel 1, s2(f) is the law of motion of the rack 4, ω2(t) is the law of changes in the angular velocity of wheel 2, v5(t) - law of change in the speed of the load 5, etc. The positive direction for φ and ω is counterclockwise, for s4, s5 and v4, v5 - down.

It is necessary to determine at the time t1 = 2 s the velocities (v - linear, ω - angular) and accelerations (a - linear, ε - angular) of the corresponding points or bodies indicated in the table in the "Find" columns (v5 - speed of load 5, etc.) .d.).

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