Solution K1-56 (Figure K1.5 condition 6 S.M. Targ 1989)

In problem K1 from condition 6 S.M. Targ (1989) contains two subtasks: K1a and K1b, which need to be solved.

Subtask K1a. Point B moves in the xy plane along a trajectory, which is conventionally shown in Figures K1.0 - K1.9, and is described by the equations x = f1(t), y = f2(t), where x and y are expressed in centimeters, t - in seconds. It is necessary to find the equation of the trajectory of the point, and also determine the speed, acceleration, tangential and normal acceleration and radius of curvature at the trajectory point at time t1 = 1 s. The dependence x = f1(t) is indicated in the figures, and the dependence y = f2(t) is given in the table. K1 (for Fig. 0-2 in column 2, for Fig. 3-6 in column 3, for Fig. 7-9 in column 4). The figure number is selected according to the penultimate digit of the code, and the condition number in the table. K1 - according to the last one.

Subtask K1b. The point moves along a circular arc of radius R = 2 m according to the law s = f(t), given in table. K1 in column 5 (s - in meters, t - in seconds), where s = AM is the distance of a point from some origin A, measured along the arc of a circle. It is necessary to determine the speed and acceleration of the point at time t1 = 1 s. In the figure, it is necessary to depict vectors v and a, assuming that the point at this moment is in position M, and the positive direction of reference s is from A to M.

This digital product is a solution to problem K1-56 from the famous textbook by S.M. Targa (1989). The problem consists of two subtasks: K1a and K1b, and is a classical point dynamics problem. To solve this problem, it is necessary to find the equation of the trajectory of a point, its speed, acceleration, tangential and normal acceleration, as well as the radius of curvature at the corresponding point of the trajectory.

The beautiful HTML design of this product allows you to conveniently and quickly familiarize yourself with the condition and solution of the problem, as well as view the figures, tables and formulas necessary to solve the problem. Figures and tables for the task are presented in a convenient form, which makes it easy to find the necessary information and visualize it.

This digital product will be useful to both students and teachers studying the dynamics of a point. It is excellent material for self-studying the topic, preparing for exams and tests.

Solution K1-56 (Figure K1.5 condition 6 S.M. Targ 1989) is a product in electronic format that contains the solution to problem K1-56 from the textbook by S.M. Targa "Dynamics of a system of material points" (1989). The problem consists of two subtasks: K1a and K1b, and is a classical point dynamics problem.

In subtask K1a, it is necessary to find the equation of the point’s trajectory, its speed, acceleration, tangential and normal acceleration, as well as the radius of curvature at the corresponding point of the trajectory. In subtask K1b it is necessary to determine the speed and acceleration of the point at time t1 = 1 s.

This product includes a beautiful HTML design that allows you to conveniently and quickly familiarize yourself with the condition and solution of the problem. Figures and tables for the task are presented in a convenient form, which makes it easy to find the necessary information and visualize it.

Solution K1-56 (Figure K1.5 condition 6 S.M. Targ 1989) will be useful for both students and teachers studying the dynamics of a point. It is excellent material for self-studying the topic, preparing for exams and tests.

***

Solution K1-56 is a set of two problems, K1a and K1b, that need to be solved. In problem K1a, point B moves in the xy plane, given by the equations x = f1(t) and y = f2(t), where t is time in seconds, x and y are distances in centimeters. It is necessary to find the equation of the trajectory of the point, as well as the speed, acceleration, tangential and normal accelerations and the radius of curvature of the point at time t1 = 1 s. The dependence x = f1(t) is indicated in the figures, and the dependence y = f2(t) is given in Table K1.

In problem K1b, a point moves along a circular arc of radius R = 2 m according to the law s = f(t), where s is the distance of the point from some origin A, measured along the circular arc, and t is time in seconds. It is necessary to determine the speed and acceleration of the point at time t1 = 1 s. In the figure, it is necessary to depict the vectors v and a, assuming that the point at this moment is in position M, and the positive direction of reference s is from A to M.

***

1. A very convenient digital product for learning mathematical principles.
2. Solution K1-56 makes it possible to easily and quickly check your calculations.
3. This digital product will help you save time when solving problems.
4. Figure K1.5 condition 6 S.M. Targ 1989 is a reliable and accurate source of information.
5. Solution K1-56 provides a unique opportunity to improve your math skills.
6. This digital product is ideal for students and professionals working in the STEM fields.
7. Figure K1.5 condition 6 S.M. Targ 1989 is a classic example of a problem that can be used for learning and self-testing.
8. Solving K1-56 is a great way to improve your math problem solving skills.
9. If you are looking for a quality digital product for solving mathematical problems, then Solution K1-56 is what you need.
10. With Figure K1.5 conditions 6 S.M. Targ 1989 and Solution K1-56 you can be confident in the correctness of your mathematical calculations.