Solution K2-76 (Figure K2.7 condition 6 S.M. Targ 1989)

Solution of problem K2-76 from the textbook by S.M. Targa (1989) is presented in Figure K2.7 condition 6. The mechanism consists of three stepped wheels (1-3) meshed or connected by a belt drive, a gear rack (4) and a weight (5) tied to the end of the thread , wound around one of the wheels. The radii of the wheel steps 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 rims wheels, points A, B and C are located. In the “Given” column of the table the law of motion or the law of change in speed of the driving link of the mechanism is 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 ) - the law of change in the angular velocity of wheel 2, v5(t) - 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 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.).

This digital product is a solution to problem K2-76 from the textbook by S.M. Targa (1989), illustrated by Figure K2.7 condition 6. The product has a beautiful HTML design that preserves the original table structure from the textbook. The solution is presented in the form of a description of a mechanism consisting of three stepped wheels, a rack and a weight tied to the end of a thread. The table shows the radii of the wheel steps, the laws of motion and changes in the speeds of various elements of the mechanism depending on time. By purchasing this digital product, you will receive a complete and detailed solution to problem K2-76 with illustrations and beautiful design in HTML format.

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The K2-76 solution is a mechanism consisting of three stepped wheels (numbers 1-3), a rack (number 4) and a weight (number 5), which is connected to a thread wound around one of the wheels. The wheels are meshed or connected by a belt drive. Points A, B and C are located on the wheel rims. 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.

The table shows the laws of motion or changes in speed for the driving links of the mechanism: φ1(t) - law of rotation of wheel 1, s2(f) - law of motion of rack 4, ω2(t) - law of change in angular velocity of wheel 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 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.).

K2-76 is a solution to the problem described in condition 6 of Figure K2.7 in the book by S.M. Targa "Problems for Physicists" 1989 edition. Solving this problem can be useful for students and professionals in the field of physics.

The details of the problem and its solution are not indicated in this description, therefore, for more detailed information, you must refer to the specified source or seek help from a teacher or specialist in the field of physics.

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