Dievsky V.A. - Solving problem D4 option 10 task 2

Task 2. D4-10

For a given mechanical system shown in the figure, it is required to determine the magnitude of the force F at which the system is in equilibrium using Lagrange's principle. In this case, it is necessary to take into account the presence of friction and determine the maximum value of this force.

The following initial data are known:

• load weight G = 20 kN
• torque M = 1 kNm
• drum radius R2 = 0.4m (double drum also has r2 = 0.2m)
• angle α = 300
• sliding friction coefficient f = 0.5

Unnumbered blocks and rollers must be considered weightless. The friction on the axes of the drum and blocks can be neglected.

This digital product is a solution to problem D4 option 10 task 2, compiled by V.A. Dievsky. Solving this problem will help students and teachers successfully cope with the task in the field of mechanics.

The design of this product is made in a beautiful HTML format, which makes it easy to read and view the material.

This digital product is a solution to problem D4 option 10 task 2, compiled by V.A. Dievsky in the field of mechanics. The solution to the problem is carried out using the Lagrange principle, and allows us to determine the magnitude of the force F at which the mechanical system will be in equilibrium, as well as the maximum value of this force in the presence of friction.

The initial data of the problem are as follows: 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 can be neglected.

The product is designed in a beautiful HTML format, which makes it easy to read and view the material. The solution to this problem can be useful for students and teachers involved in mechanics.

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