Dievsky V.A. - Solving problem D4 option 16 task 2

D4-16 (Task 2) Dievsky For the diagram presented in the figure, using the Lagrange principle, determine the magnitude of the force F (in the presence of friction, the maximum value of this value) at which the mechanical system will be in equilibrium. Initial data: load weight G = 20 kN, torque M = 1 kNm, drum radius R2 = 0.4 m (double drum also has r2 = 0.2 m), angle α = 300 and sliding friction coefficient f = 0.5 . Unnumbered blocks and rollers are considered weightless. Neglect friction on the axes of the drum and blocks.

This product is a solution to problem D4 option 16 task 2, which was compiled by V.A. Dievsky. The task is to determine the magnitude of the force F at which the mechanical system shown in the figure will be in equilibrium. To solve the problem, the Lagrange principle is used.

Initial data for solving the problem: load weight G = 20 kN, torque M = 1 kNm, drum radius R2 = 0.4 m (double drum also has r2 = 0.2 m), angle α = 300 and sliding friction coefficient f = 0.5. Unnumbered blocks and rollers are considered weightless, and friction on the axes of the drum and blocks is neglected.

In the presence of friction, the problem of determining the maximum value of force F at which the mechanical system will be in equilibrium is solved.

***

The book “Solving problem D4 option 16 task 2” by V.A. Dievsky. contains a detailed solution to problem D4, option 16, task 2, which may be useful to students and teachers involved in mathematics. The book presents step-by-step solutions, accompanied by detailed explanations and illustrations, which will help the reader better understand the material. In addition, the book contains many examples and exercises for independent solutions, which will allow the reader to consolidate the acquired knowledge.

***

1. It’s very convenient to buy and download an e-book - no need to wait for delivery and waste time going to the store
2. Digital games are a great way to have fun anytime, without having to buy physical media
3. Using digital photo editing software, you can quickly and easily improve the quality of your images.
4. Digital courses and textbooks are a convenient way to learn anytime, anywhere
5. Digital music services allow you to enjoy your favorite music without having to download it to your computer
6. Digital copies of films are an excellent alternative to physical discs, as they do not take up much space and do not deteriorate over time.
7. Digital drawing and design programs are a convenient tool for professionals and hobbyists who want to create beautiful and original designs

Peculiarities:

Digital goods can be easily and quickly obtained without leaving home.

They usually cost less than physical goods.

Digital goods can be stored and used on any device with Internet access.

They do not take up much space on your hard drive or in the cloud.

Digital goods usually have a fast and convenient delivery and payment system.

Digital goods can be updated and improved without the need to purchase a new version.

They often have a free trial before purchase.