D7-18 (Task 1) For a given mechanical system, shown in the diagram and located in an equilibrium position, it is necessary to determine the natural frequency of oscillations. This system can perform free oscillations around the horizontal axis z passing through a fixed point O. It consists of several elements rigidly fastened to each other: thin homogeneous rods 1 and 2, a homogeneous plate 3 and a point load 4. Mass of 1 m length of the rod is equal to 25 kg, the mass of 1 m2 of plate area is 50 kg, the mass of a point load is 20 kg. The stiffness coefficient of the elastic elements is c = 10 kN/m. The dimensions of the system parts are indicated in meters.
We present to your attention a digital product from the author V.A. Dievsky. - solution to problem D7 option 18 task 1. This product is suitable for those who want to study mechanics more deeply and consider examples of solving problems in practice.
This solution provides a detailed description of a mechanical system that can oscillate freely about a horizontal z-axis. All elements of the system are rigidly fastened to each other and have certain masses and dimensions. In addition, the value of the stiffness coefficient of the elastic elements is given.
By purchasing this digital product, you will receive a ready-made solution to the problem with detailed calculations and step-by-step instructions. You can also easily repeat the solution to this problem yourself, using the knowledge and skills you have acquired.
Don't miss the opportunity to purchase this useful digital product and expand your mechanical knowledge!
This product is a solution to problem D7, option 18, task 1, authored by V.A. Dievsky. The solution to this problem is intended for those who are interested in mechanics and want to study this area more deeply in practice.
The task is to determine the natural frequency of oscillations of a mechanical system shown in the diagram, which is in an equilibrium position and is capable of free oscillations around the horizontal axis z passing through a fixed point O. The system consists of several elements rigidly fastened to each other: thin homogeneous rods 1 and 2, a homogeneous plate 3 and a point load 4. The mass of 1 m of the length of the rod is 25 kg, the mass of 1 m2 of plate area is 50 kg, the mass of the point load is 20 kg. The stiffness coefficient of the elastic elements is c = 10 kN/m. The dimensions of the system parts are indicated in meters.
By purchasing this digital product, you will receive a ready-made solution to the problem with detailed calculations and step-by-step instructions. You can also easily repeat the solution to this problem yourself, using the knowledge and skills you have acquired. Solving the problem will help you deepen your knowledge of mechanics and learn how to apply it in practice.
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Dievsky V.A. - Solution to problem D7 option 18 task 1 is a solution to a mechanics problem that describes a mechanical system capable of free oscillations around the horizontal axis z passing through a fixed point O. The system consists of bodies rigidly connected to each other: thin homogeneous rods 1 and 2 or a homogeneous plate 3 and a point load 4. The mass of 1 m of the length of the rods is 25 kg, the mass of 1 m2 of the plate area is 50 kg, the mass of the point load is 20 kg. The elastic elements of the system have a stiffness coefficient c = 10 kN/m. Solving the problem allows us to determine the natural frequency of oscillations of the system. The dimensions of the system parts are indicated in meters.
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