Solution K1-15 (Figure K1.1 condition 5 S.M. Targ 1989)

Solution to problem K1-15 (Figure K1.1 condition 5 S.M. Targ 1989)

Under the number K1 there are two tasks: K1a and K1b. Both problems need to be solved.

Task K1a.

Figures K1.0 - K1.9 (Table K1) conventionally show the trajectory of point B moving in the xy plane. The law of motion of a point is given 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 and acceleration of the point at the time t1 = 1 s, its tangential and normal accelerations and the radius of curvature at the corresponding point of the trajectory. The dependence x = f1(t) is indicated directly in the figures, and the dependence y = f2(t) is given in table K1 (for figures 0-2 in column 2, for figures 3-6 in column 3, for figures 7-9 in column 4). The figure number is selected according to the penultimate digit of the code, and the condition number in table K1 is selected according to the last one.

Task K1b.

A 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 the point from some origin A, measured along an 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.

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This digital product is a solution to problem K1-15 from the textbook by S.M. Targa, published in 1989. Figure number K1.1 and condition 5 will help you quickly find the task you need.

In this product you will find two tasks: K1a and K1b. In problem K1a, it is necessary to find the equation for the trajectory of a point, as well as determine the speed and acceleration of the point at time t1 = 1 s, its tangential and normal accelerations and the radius of curvature at the corresponding point of the trajectory. In problem K1b, it is necessary to determine the speed and acceleration of a point at time t1 = 1 s and depict vectors v and a in the figure.

We provide you with a beautifully designed html product code that can be easily used on your website or blog. Use our product for educational purposes or personal development. We hope that our product will be useful for you!

“Solution K1-15 (Figure K1.1 condition 5 S.M. Targ 1989)” is a digital product that is a solution to problem K1-15 from the textbook by S.M. Targa, published in 1989. Figure number K1.1 and condition 5 will help you quickly find the desired task. The product contains two tasks: K1a and K1b.

In problem K1a, it is necessary to find the equation for the trajectory of a point, as well as determine the speed and acceleration of the point at time t1 = 1 s, its tangential and normal accelerations and the radius of curvature at the corresponding point of the trajectory. The dependence x = f1(t) is indicated directly in the figures, and the dependence y = f2(t) is given in table K1 (for figures 0-2 in column 2, for figures 3-6 in column 3, for figures 7-9 in column 4).

In problem K1b, it is necessary to determine the speed and acceleration of a point at time t1 = 1 s and depict vectors v and a in the figure. A 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 the point from some origin A, measured along an arc of a circle. It is believed that the point at time t1 = 1 s is in position M, and the positive direction of reference s is from A to M.

In addition, the product contains a beautifully designed html code that you can use on your website or blog. The product may be useful for educational purposes or personal development.

Solution K1-15 (Figure K1.1 condition 5 S.M. Targ 1989) is a digital product in the form of a solution to problem K1-15 from the textbook by S.M. Targa, published in 1989. The product contains two tasks: K1a and K1b.

In problem K1a, it is necessary to find the equation for the trajectory of point B, which moves in the xy plane. The law of motion of a point is given by the equations: x = f1(t), y = f2(t), where x and y are expressed in centimeters, t in seconds. In addition, you need to find the speed and acceleration of the point at time t1 = 1 s, as well as its tangential and normal accelerations and the radius of curvature at the corresponding point on the trajectory. The dependence x = f1(t) is indicated directly 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), given in table K1 in column 5 (s - in meters, t - in seconds), where s = AM is the distance of the 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.

The product is presented in the form of a beautifully designed html code that can easily be used on your website or blog. Solving the problem can be useful for educational purposes or personal development.


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Solution K1-15 is a problem consisting of two parts: K1a and K1b. In problem K1a, it is necessary to find the equation for the trajectory of point B, which moves in the xy plane according to a given law of motion. It is also necessary to determine the speed, acceleration, tangential and normal acceleration, as well as the radius of curvature of the trajectory at time t1 = 1 s. The dependence of the coordinates of a point on time is given in tabular form and in the figures.

In problem K1b


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  9. The K1-15 solution is characterized by high accuracy and reliability in solving problems with digital systems.
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Peculiarities:




Solution K1-15 is very useful for students and teachers who study calculus and differential equations.

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Solution K1-15 is an indispensable tool for those who are interested in mathematics and want to deepen their knowledge.

With this solution, you can quickly and easily improve your knowledge of calculus and differential equations.

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