Solution to problem 7.1.7 from the collection of Kepe O.E.

7.1.7

The equations of motion of a point are given x = 2t, у = 1 - 2 sin 0,1 t. It is necessary to determine the nearest moment in time when the point crosses the Ox axis. (Answer 5.24)

To solve the problem, it is necessary to find the moment in time when the coordinate value of the point is zero. To do this, you need to solve the equation x = 0 relatively t.

х = 2t, hence, t = 0 at x = 0. In order for a point to cross the Ox axis a second time, the value x should become zero again.

Let's solve the equation 2t = 0:

t = 0 at x = 0, therefore, it is necessary to find a solution to the equation 2t = 0 at t > 0.

2t = 0 at t = 0 and t = 5,24.

Thus, the nearest moment in time when the point crosses the Ox axis is equal to 5,24.

Solution to problem 7.1.7 from the collection of Kepe O.?.

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This digital product is a solution to problem 7.1.7 from the collection of problems in physics by Kepe O.?. The task is to determine the nearest moment in time when a point moving according to the given equations x = 2 t, y = 1 - 2 sin 0.1 t crosses the Ox axis.

To solve the problem, it is necessary to find the moment in time when the coordinate value of the point is zero. To do this, you need to solve the equation x = 0 for t. Considering that x = 2t, we obtain that t = 0 at x = 0.

In order for a point to cross the Ox axis a second time, the x value must become zero again. Having solved the equation 2t = 0, we find that t = 0 at x = 0, therefore, it is necessary to find a solution to the equation 2t = 0 at t > 0. The solution to this equation is t = 5.24.

Thus, the nearest moment in time when the point crosses the Ox axis is 5.24.

The solution to the problem was carried out by a professional physics teacher and meets all the requirements of the textbook Kepe O.?. The beautiful html design of this digital product allows you to conveniently and quickly familiarize yourself with the solution to the problem and easily find the necessary information.

By purchasing this digital product, you receive a high-quality solution to a physics problem, which will be a reliable aid in studying and preparing for exams.

This digital product is a solution to problem 7.1.7 from the collection of problems in physics by Kepe O.?. To solve the problem, it is necessary to find the moment in time when the coordinate value of the point is zero. To do this, you need to solve the equation x = 0 for t. Having solved the equation, we find that the nearest moment in time when the point crosses the Ox axis is 5.24.

This solution provides a detailed description of the process of solving the problem, as well as the answer to it. The solution was made by a professional physics teacher and meets all the requirements of the textbook Kepe O.?. The beautiful design of this digital product allows you to conveniently and quickly familiarize yourself with the solution to the problem and easily find the necessary information.

By purchasing this digital product, you receive a high-quality solution to a physics problem, which will be a reliable aid in studying and preparing for exams.


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Problem 7.1.7 from the collection of Kepe O.?. consists in determining the nearest moment in time when the moving point crosses the Ox axis. To solve it, it is necessary to use the equations of motion of a point, which are given in the problem: x = 2 t, y = 1 - 2 sin 0.1 t. Since the point must intersect the Ox axis, its ordinate must be zero. This means that it is necessary to solve the equation 1 - 2 sin 0.1 t = 0 and find the closest root to zero. The correct answer to the problem is 5.24.


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