Solution of problem D3 (task 1) Option 06 Dievsky V.A.

Termeh Dievsky V.A. proposed the problem Dynamics 3 (D3) task 1, which concerns “THEOREM ABOUT CHANGE OF KINETIC ENERGY”. The task is to determine the angular acceleration (for options 4, 6, 7, 9, 11, 18, 25, 26, 28) or linear acceleration (for other options) of body 1, using the theorem on the change in kinetic energy in differential form for mechanical systems shown in diagrams 1-30. The assignment indicates the accepted notations: m - masses of bodies, R and r - radii, p - radius of inertia (if it is not specified, the body is considered a homogeneous cylinder); in the presence of friction, f is the sliding friction coefficient, fк is the rolling friction coefficient. The threads are weightless and inextensible.

To solve task 1 of problem D3 in diagram No. 6, it is necessary to apply the theorem on the change in kinetic energy in differential form and determine the linear acceleration of body 1. In this case, the threads must be weightless and inextensible. The following notations are accepted: m - body mass, R - radius, f - sliding friction coefficient. If the radius of gyration is not specified, the body is considered a uniform cylinder. If there is friction, the rolling friction coefficient fк is indicated.

Product description:

A solution to task 1 from problem Dynamics 3 (D3) scheme No. 6 is proposed, which concerns the determination of the linear acceleration of body 1 using the theorem on the change in kinetic energy in differential form. The task was completed in accordance with the accepted notations: m - body mass, R - radius, f - sliding friction coefficient. If the radius of gyration is not specified, the body is considered a uniform cylinder. If there is friction, the rolling friction coefficient fк is indicated. The threads are considered weightless and inextensible.

The solution to the task is made in Word format and packed in a Zip archive. A link to the archive with the solution will be available immediately after payment. The solution is based on the collection of tasks “Theoretical Mechanics” by V.A. Dievsky. and Malysheva I.A. 2009, intended for university students.

After checking the solution, we will be grateful if you leave a positive review of the product.

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This is the solution to task 1 from the problem Dynamics 3 (D3) of option 06 of scheme No. 6, described in the collection of tasks “Theoretical Mechanics” Dievsky V.A., Malysheva I.A. 2009 for university students. The task requires the use of the theorem on the change in kinetic energy in differential form to determine the angular acceleration of body 1 in the mechanical system shown in the diagram. The solution takes into account the masses of bodies, the radii and radii of gyration of bodies, as well as the coefficients of sliding and rolling friction. The solution is made in Word format (handwritten solution or typed in Word) and is supplied as a zip archive, which will open on any PC after payment. After checking the solution, the seller will be grateful if you leave positive feedback.

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