Solution to problem 20.1.7 from the collection of Kepe O.E.

20.1.7 Prism 1 has the ability to move freely along a horizontal plane. Bodies 2 and 3 are connected to each other by a spring and can move relative to the prism. If we assume that the system moves in the image plane, then it is necessary to determine the number of generalized coordinates. (Answer: 3)

This mechanical system contains three bodies that can move along a horizontal plane. Prism 1 can move freely along this plane, and bodies 2 and 3 are connected by a spring and can move relative to the prism. To describe the motion of a system, it is necessary to determine its generalized coordinates. In this case, there are three generalized coordinates, since each body can move independently along the horizontal plane.

Solution to problem 20.1.7 from the collection of Kepe O.?.

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Digital product "Solution to problem 20.1.7 from the collection of Kepe O.?." is an e-book in PDF format that contains a complete and detailed solution to the physical problem. This problem describes a mechanical system consisting of three bodies that can move along a horizontal plane. Prism 1 can move freely along this plane, and bodies 2 and 3 are connected by a spring and can move relative to the prism. To describe the motion of the system, it is necessary to determine its generalized coordinates, their number is 3.

The solution to the problem is divided into logical blocks, which makes the material easier to understand. The beautiful design of the HTML code allows you to conveniently view and read the contents of the book on any device with Internet access.

By purchasing this digital product, you receive a ready-made solution to the problem, which can be used to prepare for exams, independently study physics, or as additional material for study.


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Solution to problem 20.1.7 from the collection of Kepe O.?. consists in determining the number of generalized coordinates for a given system.

Given a system consisting of prism 1, body 2 and body 3, connected by a spring. Prism 1 can move freely along a horizontal plane, and bodies 2 and 3 can move relative to the prism. The movement of the system occurs in the plane of the drawing.

Generalized coordinates are independent coordinates that describe the position of the system. To determine the number of generalized coordinates, it is necessary to determine the number of independent coordinates necessary to describe the position of each body in the system.

In this system there are three bodies, each of which can move along two coordinates in the drawing plane. Thus, to describe the position of each body, two independent coordinates are needed. There are three bodies in total in the system; therefore, three independent coordinates are needed to describe the position of the entire system.

Answer: 3.


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