Solution K2-15 (Figure K2.1 condition 5 S.M. Targ 1989)

In problem K2-15 (Figure K2.1, condition 5, S.M. Targ, 1989) a mechanism is presented consisting of three stepped wheels (1-3), which are connected by a belt drive or meshed with a gear rack (4 ) and a weight (5) tied to the end of a thread wound around one of the wheels (Fig. K2.0-K2.9, Table K2). The radii of each wheel step are as follows: 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. In the table, in the “Given” column, the laws of motion or changes in the speed of the driving link of the mechanism are indicated, where φ1(t) is the law of rotation of the wheel 1, s2(f) is the law of motion of the rack 4, ω2( t) is the law of change in the angular velocity of wheel 2, v5(t) is the law of change in the 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 at the moment of 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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This product is a solution to a problem from the textbook by S.M. Targa, which describes a mechanism consisting of stepped wheels, a rack and a weight tied to the end of a thread. The file contains graphic images and tables with the data necessary to solve the problem.

The product design is made in a beautiful html format, which allows you to conveniently view the content on any device. You can easily familiarize yourself with the conditions of the problem, the provided data and the solution in a convenient form.

By purchasing this digital product, you get a unique solution to the problem of a well-known textbook, which can be useful for both schoolchildren, students and teachers. We are confident that this product will become an indispensable assistant in the study of mechanics and physics. Thank you for choosing our store!

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Solution K2-15 (Figure K2.1 condition 5 S.M. Targ 1989) is a digital product that is a solution to a problem from the textbook by S.M. Targa on mechanics. The problem describes a mechanism consisting of three stepped wheels, a gear rack, and a weight tied to the end of a string. The file contains graphic images and tables with the data necessary to solve the problem.

The mechanism consists of three stepped wheels, which are meshed or connected by a belt drive to a rack and a weight tied to the end of a thread wound around one of the wheels. The radii of each wheel step are as follows: 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.

In the table, in the “Given” column, the law of motion or the law of change in the speed of the driving link of the mechanism is indicated, 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 the angular velocity of wheel 2 , v5(t) - the law of change in the speed of the 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 at the moment of 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.).

The product design is made in a beautiful HTML format, which allows you to conveniently view the content on any device. This product can be useful for both schoolchildren and students and teachers in the study of mechanics and physics.

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Solution K2-15 is a mechanism consisting of three stepped wheels 1-3, a gear rack 4 and a weight 5, which is connected to one of the wheels by a thread. Wheels 1-3 are meshed or connected by a belt drive. The radii of the wheel steps are 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.

Points A, B and C are located on the wheel rims. The table shows the laws of motion or change in speed of the driving links of the mechanism, where φ1(t) is the law of wheel rotation 1, s2(f) is the law of motion of the rack 4, ω2(t) is the law changes in the angular speed of wheel 2, v5(t) - law of change in the speed of load 5, etc.

To solve the problem, 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 - load speed 5, etc.).

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

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