Solution to problem 19.3.20 from the collection of Kepe O.E.

It is necessary to determine the modulus of the force F acting on the center C of a homogeneous solid roller 1. The mass of the roller is m1 = 20 kg, and its radius is r = 0.4 m. The roller moves upward with a constant acceleration aC = 1 m/s2.

To solve the problem, you can use Newton's law for the second law of dynamics: F = ma, where F is force, m is body mass, and a is acceleration.

The acceleration of the center of the roller can be expressed through the acceleration of gravity g and the acceleration of rotation of the roller aω: aC = g - aω.

The rotational acceleration of the roller aω can be expressed in terms of the angular acceleration α and the radius of the roller r: aω = αr.

Angular acceleration α can be expressed in terms of linear acceleration a: α = a/r.

Now we can express the acceleration of rotation of the roller aω: aω = a/r.

So, the acceleration of the center of the skating rink: aC = g - aω = g - a/r.

Substituting the values ​​and solving the equation F = ma, we get: F = m1(aC + g) = 20(1 + 9.8) = 218 N (we round the answer to a whole number)

Solution to problem 19.3.20 from the collection of Kepe O..

This digital product is a solution to problem 19.3.20 from the collection of Kepe O.. in physics. The solution was made by a professional teacher and is presented in the form of a detailed description of the solution algorithm with step-by-step explanations.

Description of the task

In the problem, it is necessary to determine the modulus of the force acting on the center of a homogeneous solid roller, the mass of which is 20 kg and the radius is 0.4 m, when the roller moves upward with a constant acceleration of 1 m/s². The answer to the problem is 128.

Advantages

• A ready-made solution to a problem saves time on solving it yourself
• A detailed description of the solution algorithm with step-by-step explanations helps to better understand the material
• The solution is made by a professional teacher

How to use

After paying for the goods, you will receive access to a file with the solution to the problem in PDF format. The file can be downloaded to a computer or mobile device and used for educational purposes.

Price

The cost of this digital product is 150 rubles.

This digital product is a solution to problem 19.3.20 from the collection of Kepe O.?. in physics. In the problem, it is necessary to determine the modulus of the force F acting on the center of a homogeneous solid roller, the mass of which is 20 kg and the radius is 0.4 m, when the roller moves upward with a constant acceleration of 1 m/s².

To solve the problem, Newton's law for the second law of dynamics is used: F = ma, where F is force, m is body mass, and a is acceleration. The acceleration of the center of the roller can be expressed through the acceleration of gravity g and the acceleration of rotation of the roller aω: aC = g - aω. The rotational acceleration of the roller aω can be expressed in terms of the angular acceleration α and the radius of the roller r: aω = αr. Angular acceleration α can be expressed in terms of linear acceleration a: α = a/r. Now we can express the acceleration of rotation of the roller aω: aω = a/r. So, the acceleration of the center of the skating rink: aC = g - aω = g - a/r.

Substituting the values ​​and solving the equation F = ma, we get: F = m1(aC + g) = 20(1 + 9.8) = 218 N (we round the answer to a whole number).

The solution was made by a professional teacher and is presented in the form of a detailed description of the solution algorithm with step-by-step explanations. A ready-made solution to a problem saves time on solving it independently, and a detailed description of the solution algorithm with step-by-step explanations helps to better understand the material.

After paying for the goods, you will receive access to a file with the solution to the problem in PDF format. The file can be downloaded to a computer or mobile device and used for educational purposes. The cost of this digital product is 150 rubles.

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Problem 19.3.20 from the collection of Kepe O.?. consists in determining the modulus of the force F, which acts on the center C of a homogeneous solid roller 1. The roller has a mass m1 = 20 kg and a radius r = 0.4 m, and moves upward with a constant acceleration aC = 1 m/s2.

To solve the problem, it is necessary to use Newton's law, the second law of motion, which states that the force acting on a body is equal to the product of the body's mass and its acceleration: F = m1 * aC.

Substituting the data into the formula, we get: F = 20 kg * 1 m/s2 = 20 N.

Thus, the magnitude of the force F acting on the center C of the roller is 20 N, or 128 if the answer is to be expressed in kilogram-force.

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