Solution K2-70 (Figure K2.7 condition 0 S.M. Targ 1989)

Solution of problem K2-70, described in condition 0 S.M. Targa (1989), presents a mechanism consisting of stepped wheels (1-3) connected by a belt drive or meshed with a rack (4) and a weight (5) attached to the end of a thread wound around one of the wheels ( see figures K2.0-K2.9 and table K2). The radii of the wheels are respectively equal: for wheel 1 - r1 = 2 cm, R1 = 4 cm, for wheel 2 - r2 = 6 cm, R2 = 8 cm, for wheel 3 - r3 - 12 cm, R3 = 16 cm. On the wheel rims points A, B and C are located. The table shows the laws of motion or changes in 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 change in angular velocity wheels 2, v5(t) - law of change in speed of load 5, etc. (everywhere φ is expressed in radians, s - in centimeters, t - in seconds). The positive direction for φ and ω is counterclockwise, for s4, s5 and v4, v5 - down. It is necessary to determine the velocities (v - linear, ω - angular) and accelerations (a - linear, ε - angular) of the corresponding points or bodies (v5 - speed of load 5, etc.), indicated in the "Find" columns of the table, at the moment time t1 = 2 seconds.

Decision K2-70

This is a digital product that contains the solution to problem K2-70 in mechanics, described in condition 0 S.M. Targa (1989). The solution presents a mechanism consisting of stepped wheels connected by a belt drive or meshed with a rack and a weight attached to the end of a thread wound around one of the wheels. Together with the solution, the kit includes figures K2.0 - K2.9 and table K2 indicating the radii of the wheels and the laws of motion or changes in speed of the driving link of the mechanism. The positive direction for angles φ and ω is counterclockwise, for distances s and velocities v - downward. The solution is illustrated by examples of calculations of velocities and accelerations of corresponding points or bodies at time t1 = 2 seconds.

Price: 150 rubles

Solution K2-70 (Figure K2.7 condition 0 S.M. Targ 1989) is a digital product containing a solution to problem K2-70 in mechanics, described in condition 0 S.M. Targa (1989). The solution presents a mechanism consisting of stepped wheels connected by a belt drive or meshed with a rack and a weight attached to the end of a thread wound around one of the wheels. Together with the solution, the kit includes figures K2.0 - K2.9 and table K2 indicating the radii of the wheels and the laws of motion or changes in speed of the driving link of the mechanism. The positive direction for angles φ and ω is counterclockwise, for distances s and velocities v - downward. The solution is illustrated by examples of calculations of velocities and accelerations of corresponding points or bodies at time t1 = 2 seconds. The price for the solution is 150 rubles.

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Solution K2-70 (Figure K2.7 condition 0 S.M. Targ 1989) is a mechanism consisting of three stepped wheels, a gear rack and a weight tied to the end of the thread. The wheels are meshed or connected by a belt drive, and kinetic energy is transferred between them. The radii of the wheel steps are different and equal, respectively: for wheel 1 – r1 = 2 cm, R1 = 4 cm, for wheel 2 – r2 = 6 cm, R2 = 8 cm, for wheel 3 – r3 – 12 cm, R3 = 16 cm. Points A, B and C are located on the wheel rims.

The table gives 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. To determine the velocities (linear and angular) and accelerations (linear and angular) of the corresponding points or bodies at the time t1 = 2 s, it is necessary to use the data presented in the “Find” columns of the table.

The positive direction for angular quantities φ and ω is counterclockwise, for linear quantities s4, s5, v4 and v5 - down.

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