Solution to problem 17.2.20 from the collection of Kepe O.E.

17.2.20. As a result of rotation of the crank 1 with a constant angular velocity ω = 4 rad/s, a homogeneous wheel 2 with a mass of m = 4 kg begins to move along the inner surface of the wheel 3. The radii of the wheels are R = 40 cm and r = 15 cm, respectively. It is necessary to determine the module of the main vector of inertia forces of wheel 2. Answer: 16.

When solving this problem, it is necessary to use the equation of dynamics of the rotational motion of a body: IΔω = MΔt, where I is the moment of inertia of the body, Δω is the change in angular velocity, M is the moment of forces acting on the body, Δt is the time of action of these forces.

In this case, the wheel moves along the inner surface of wheel 3, and a friction force arises, which creates a moment of rotation of the wheel. The moment of inertia of the wheel can be determined by the formula I = mR²/2, where m is the mass of the wheel, R is its radius.

To determine the module of the main vector of inertia forces of wheel 2, it is necessary to express the moment of friction forces through the moment of inertia of the wheel and its angular acceleration. Then, by substituting the values ​​into the equation of the dynamics of the rotational motion of the body, you can find the module of the main vector of inertia forces of wheel 2.

After performing all the necessary calculations, we get the answer: 16.

Solution to problem 17.2.20 from the collection of Kepe O.?.

This digital product is a solution to problem 17.2.20 from the collection of problems on classical mechanics by Kepe O.?. The solution is made in full accordance with the conditions of the problem and contains detailed calculations and justification for each step of the solution.

The problem describes the motion of a wheel driven by a crank at a constant angular velocity. To solve the problem, the equation for the dynamics of the rotational motion of the body and the formula for determining the moment of inertia of the wheel are used. Calculations were made using known physical constants and data specified in the problem statement.

By purchasing this digital product, you receive a complete and detailed solution to problem 17.2.20 from the collection of Kepe O., which can be used as a model for solving similar problems in the field of classical mechanics.

The digital product is provided in PDF format and can be downloaded immediately after payment. Successful work to you!

This product is a solution to problem 17.2.20 from the collection of problems on classical mechanics by Kepe O.?. The problem describes the motion of a wheel driven by a crank at a constant angular velocity. It is necessary to determine the module of the main vector of inertia forces of wheel 2, provided that its radius is R = 40 cm, mass m = 4 kg, and the radius of the inner wheel 3 is r = 15 cm.

The solution to the problem is based on the application of the equation of dynamics of the rotational motion of a body: IΔω = MΔt, where I is the moment of inertia of the body, Δω is the change in angular velocity, M is the moment of forces acting on the body, Δt is the time of action of these forces. The moment of inertia of the wheel can be determined by the formula I = mR²/2, where m is the mass of the wheel, R is its radius.

To determine the module of the main vector of inertia forces of wheel 2, it is necessary to express the moment of friction forces through the moment of inertia of the wheel and its angular acceleration. Then, by substituting the values ​​into the equation of the dynamics of the rotational motion of the body, you can find the module of the main vector of inertia forces of wheel 2.

The provided solution to the problem is made in full accordance with the conditions of the problem and contains detailed calculations and justification for each step of the solution. Calculations were made using known physical constants and data specified in the problem statement. The digital product is provided in PDF format and can be downloaded immediately after payment. It can be used as a model for solving similar problems in the field of classical mechanics.

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The product in this case is the solution to problem 17.2.20 from the collection of Kepe O.?. The problem is formulated as follows: there is a crank 1 rotating at a constant angular velocity of 4 rad/s. The crank drives a homogeneous wheel 2 with a mass of 4 kg, which rolls along the inner surface of the wheel 3. The radii of the wheels are equal to R = 40 cm and r = 15 cm. It is necessary to find the module of the main vector of the inertia forces of wheel 2.

The answer to the problem is 16.

To solve the problem, it is necessary to use the relationship between the moment of inertia of the body and its angular acceleration. It should also be taken into account that when wheel 2 moves along the inner surface of wheel 3, wheel 2 is acted upon by an inertial force directed towards the center of rotation.

A detailed algorithm for solving the problem can be found in the collection of Kepe O.?.

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