Solution of problem D3 Option 16 (task 1, 2) Dievsky VA

Termeh Dievsky V.A. proposes to solve two problems of Dynamics 3 (D3), related to the theorem on the change in kinetic energy.

Task 1: For the mechanical systems shown in diagrams 1-30, it is necessary to determine the angular acceleration of body 1 using the theorem on the change in kinetic energy in differential form. Options 4, 6, 7, 9, 11, 18, 25, 26 and 28 require determination of angular acceleration, and in the remaining options - linear acceleration. Bodies 1 are represented in the form of homogeneous cylinders with masses m, radii R and r, and radii of gyration p (if they are not indicated, the body is considered to be a homogeneous cylinder). The threads by which bodies are suspended are weightless and inextensible. If there is friction, then the coefficients of sliding friction f and rolling friction fк are indicated.

Task 2: For mechanical systems shown in diagrams 1-30, it is necessary to determine the angular velocity of body 1 after a given displacement Fi1 = 2pi rad or S1 = 2 m, using the theorem on the change in kinetic energy in integral form. Options 4, 6, 7, 9, 11, 18, 25, 26 and 28 require determination of angular velocity, and in other options - linear velocity. Movement begins from a state of rest.

Below is the solution to two tasks for the mechanical system in diagram No. 16 Dynamics 3:

The digital goods store presents a digital product, which is a solution to two problems (task 1 and task 2) Dynamics 3 Option 16, created by Termekh Dievsky V.A. The solutions to the problems are presented in a beautiful html format, which visually facilitates the perception and understanding of the material. As a result of purchasing this digital product, you will receive a complete solution to problem D3 Option 16 with a detailed explanation and calculations that will help you better understand the theorem on the change in kinetic energy.

The digital product offered in the store is a complete solution to two problems of Dynamics 3 (D3) Option 16 related to the theorem of change in kinetic energy. The solution is presented in a beautiful html format, which makes the material easy to understand.

Task 1 requires determining the angular acceleration (for options 4, 6, 7, 9, 11, 18, 25, 26 and 28) or linear acceleration (for other options) of body 1 of the mechanical systems shown in diagrams 1-30. Bodies 1 are presented in the form of homogeneous cylinders with masses m, radii R and r, and radii of gyration p (if they are not indicated, the body is considered to be a homogeneous cylinder). The threads by which bodies are suspended are weightless and inextensible. If there is friction, then the coefficients of sliding friction f and rolling friction fк are indicated.

Task 2 requires determining the angular velocity (for options 4, 6, 7, 9, 11, 18, 25, 26 and 28) or linear speed (for other options) of body 1 after a given displacement Fi1 = 2pi rad or S1 = 2 m. Movement begins from a state of rest.

Solution to Problem D3 Option 16 includes detailed explanations and calculations that will help you better understand the theorem about the change in kinetic energy. After payment, you will receive a link to an archive with a solution to the problem in Word format, which is packed in a zip archive and will open on any PC. After checking the solution, the author will be grateful if you leave positive feedback.

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This product is a solution to two problems in theoretical mechanics, namely problem D3 Option 16 (task 1 and task 2), from the collection of tasks “Theoretical Mechanics” by V.A. Dievsky. and Malysheva I.A. The solution is presented in Word format, which can be either handwritten or typed on a computer. The zip archive, which will be available immediately after payment, contains a file with a solution to the problem. The problems relate to the topic "Kinetic Energy Change Theorem" and require the use of the differential or integral form of this theorem to determine the angular or linear acceleration/velocity of body 1 in the mechanical systems depicted in Diagrams 1-30. In task 2 it is necessary to determine the angular or linear velocity of body 1 after a given displacement. The solution to the problem is intended for university students studying theoretical mechanics. After checking the solution, the author will be grateful for your positive feedback.

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