Solution to problem 14.1.5 from the collection of Kepe O.E.

14.1.5 The mechanical system moves in such a way that the projections of the acceleration of its center of mass C on the coordinate axis are equal to aCx = 1 m/s2, aCy = 2 m/s2, aCz = 4 m/s2. It is necessary to determine the module of the main vector of external forces acting on the system. The mass of the system is m = 40 kg. (Answer 183)

Given a mechanical system moving in such a way that the acceleration projections of its center of mass on the coordinate axis are equal to: аСх = 1 m/s2, аСу = 2 m/s2, аСz = 4 m/s2. It is necessary to determine the module of the main vector of external forces acting on the system, provided that its mass is equal to m = 40 kg. Answer: 183.

Solution to problem 14.1.5 from the collection "Kepe O.?." is a digital product offered in our digital product store. This product is a solution to a mechanics problem about the motion of a mechanical system with given projections of the acceleration of the center of mass on the coordinate axis, provided that the mass of the system is 40 kg. The solution to the problem was carried out in accordance with the methodological recommendations of "Kepe O.?." and contains a detailed analysis of the solution process, step-by-step calculations and the final answer. Our product is designed in a beautiful html format, which allows you to conveniently view and study the solution to the problem on any device, including computers, tablets and smartphones. Plus, our digital product is available for download immediately after purchase, allowing you to start working on the task immediately. By purchasing our solution to problem 14.1.5 from the collection "Kepe O.?", you receive a high-quality product that will help you deepen your knowledge in the field of mechanics and successfully cope with tasks on this topic.

The digital product offered in our store is the solution to problem 14.1.5 from the collection "Kepe O.?." in mechanics. In this problem, it is necessary to determine the module of the main vector of external forces acting on a mechanical system moving in such a way that the projections of the acceleration of its center of mass on the coordinate axis are equal to: аСх = 1 m/s2, аСу = 2 m/s2, аСz = 4 m/ s2. The system weight is 40 kg. Our product provides a detailed solution to the problem in accordance with the methodological recommendations of "Kepe O.?". The solution contains step-by-step calculations and the final answer, formatted in a beautiful html format that is convenient to view and study on any device. Our digital product is available for download immediately after purchase, allowing you to start working on the task immediately. By purchasing our solution to problem 14.1.5, you receive a high-quality product that will help you deepen your knowledge in the field of mechanics and successfully cope with tasks on this topic. The answer to the problem is 183.

Solution to problem 14.1.5 from the collection "Kepe O.?." is a digital product that represents a detailed solution to a mechanics problem about the movement of a mechanical system with given projections of the acceleration of the center of mass on the coordinate axis. For this system, the projections of acceleration of the center of mass along the coordinate axes are given: аСх = 1 m/s2, аСу = 2 m/s2, aCz = 4 m/s2, and its mass is 40 kg. It is necessary to determine the module of the main vector of external forces acting on the system.

The solution to the problem was carried out in accordance with the methodological recommendations of "Kepe O.?." and contains a detailed analysis of the solution process, step-by-step calculations and the final answer. The presented product is designed in a convenient html format, which allows you to study the solution to the problem on any device. In addition, the solution is available for download immediately after purchase.

By purchasing the solution to problem 14.1.5 from the collection "Kepe O.?.", you receive a high-quality product that will help you deepen your knowledge in the field of mechanics and successfully cope with tasks on this topic. The answer to the problem is 183.

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Solution to problem 14.1.5 from the collection of Kepe O.?. consists in determining the module of the main vector of external forces acting on a mechanical system that moves in such a way that the projections of the acceleration of its center of mass C on the coordinate axis are equal to: аСх = 1 m/s2, аСу = 2 m/s2, aCz = 4 m/s2 . System mass m = 40 kg.

To solve the problem, it is necessary to use the equation of motion of the center of mass of the system:

F = at,

where F is the total external force acting on the system, m is the mass of the system, a is the acceleration of the center of mass.

The module of the main vector of external forces acting on the system can be determined by the formula:

|F| = √(Fx² + Fu² + Fz²),

where Fх, Fу, Fz are projections of external forces on the coordinate axes.

Knowing the projections of the acceleration of the center of mass, we can determine the acceleration of the center of mass using the formula:

a = √(aCx² + aCz² + aCz²) = √(1² + 2² + 4²) ≈ 4.582 m/s².

Substituting the known values ​​into the equation of motion, we get:

F = ma = 40 kg * 4.582 m/s² ≈ 183 N.

Thus, the module of the main vector of external forces acting on the mechanical system is equal to 183 N.

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