Solution to problem 14.1.13 from the collection of Kepe O.E.

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The problem is to determine the modulus of the main vector of external forces acting on a homogeneous rod OA with a mass of 10 kg, which rotates uniformly with an angular velocity of 10 rad/s. The length of the rod is 1 meter. The answer to the problem is 500.

To solve this problem, you need to use a formula to determine the modulus of the main vector of external forces acting on a rotating body. This formula is as follows: F = m * R * w^2, where F is the module of the main vector of external forces, m is the mass of the body, R is the distance from the axis of rotation to the point of application of the force, w is the angular velocity of rotation of the body.

Substituting the known values ​​into this formula, we obtain F = 10 * 0.5 * (10)^2 = 500. Thus, the module of the main vector of external forces acting on the rod is equal to 500.

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We present to you a digital product - the solution to problem 14.1.13 from the collection of Kepe O.?. The problem is to determine the modulus of the main vector of external forces acting on a homogeneous rod OA with a mass of 10 kg, which rotates uniformly with an angular velocity of 10 rad/s and has a length of 1 meter. Our solution to the problem includes a detailed description of the solution algorithm, as well as all the necessary formulas and calculations. We are confident that our solution will help you save a lot of time and effort, and will also help you understand the material better. The product is designed in a beautiful and understandable HTML format, which allows you to conveniently view and study the material on any device, be it a computer, tablet or mobile phone. The answer to the problem indicates the module of the main vector of external forces acting on the rod, which is equal to 500. Don’t miss the opportunity to purchase our digital product and get a ready-made solution to a complex mathematical problem with beautiful HTML design!

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Solution to problem 14.1.13 from the collection of Kepe O.?. consists in determining the modulus of the main vector of external forces acting on a homogeneous rod OA with a mass of m = 10 kg, which rotates uniformly with an angular velocity ? = 10 rad/s. The length of the OA rod is 1 meter.

To solve the problem, it is necessary to use the laws of the dynamics of rotational motion of a rigid body. Since the rod rotates at a constant angular velocity, its angular acceleration is zero.

From the equation of moments acting on the body, we can obtain an expression for the module of the main vector of external forces:

I * α = M,

where I is the moment of inertia of the rod, α is the angular acceleration, M is the moment of forces acting on the rod.

Since the angular acceleration is zero, the equation simplifies to:

M = 0.

This means that the main vector of external forces is zero, that is, no external forces act on the rod.

The answer to the problem is 0.

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