Solution to problem 17.4.5 from the collection of Kepe O.E.

17.4.5 A mass of mass m1 = 2 kg, attached to a rod of length l1 = 0.5 m, rotates with a constant angular velocity oh. It is necessary to determine the mass m2 of the load, which should be attached to a rod of length l2 = 0.2 m so that the dynamic reactions of the bearings are equal to zero. Both loads can be taken as material points. The answer to the problem is 5.

In this problem there are two weights, the first weight of 2 kg is attached to a rod 0.5 m long and rotates with a constant angular velocity ω. It is necessary to find the mass of the second mass m2, which should be attached to a rod 0.2 m long so that the dynamic reactions of the bearings are equal to zero. Both loads can be considered material points. The answer to the problem is 5.

Solution to problem 17.4.5 from the collection of Kepe O.?.

This digital product is the solution to problem 17.4.5 from the collection of Kepe O.?. This problem is an interesting mathematical puzzle in which you need to find the mass of a second mass that should be attached to a rod 0.2 m long so that the dynamic reactions of the bearings are zero. Both loads can be considered material points. The solution to the problem is presented in the form of carefully selected mathematical formulas and a detailed description of each step, which makes it easy to understand the solution process and get the correct answer.

This digital product is of high quality and affordable price. Beautiful html design allows you to conveniently and quickly familiarize yourself with the content and purchase goods.

Digital product "Solution to problem 17.4.5 from the collection of Kepe O.?." is a description of the solution to a mathematical problem. In this problem, it is necessary to find the mass of the second mass m2, which should be attached to a rod 0.2 m long so that the dynamic reactions of the bearings are equal to zero. Both loads can be considered material points. The solution to the problem is presented in the form of carefully selected mathematical formulas and a detailed description of each step. The description contains a beautiful design in HTML format, which allows you to conveniently and quickly familiarize yourself with the content and purchase the product. This digital product is of high quality and affordable price. The answer to the problem is 5.

This digital product is a solution to problem 17.4.5 from the collection of Kepe O.?. This problem is a mathematical puzzle in which it is necessary to determine the mass of the second load m2, which should be attached to a rod of length l2 = 0.2 m so that the dynamic reactions of the bearings are equal to zero. Both loads can be considered material points.

The solution to the problem is presented in the form of carefully selected mathematical formulas and a detailed description of each step, which makes it easy to understand the solution process and get the correct answer. As a result of solving the problem, the answer is equal to 5.

The digital product is of high quality and affordable price. Beautiful html design allows you to conveniently and quickly familiarize yourself with the content and purchase goods. If you have any questions or difficulties while solving a problem, you can always turn to the author of the product or specialists in the field of mathematics for help.

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Solution to problem 17.4.5 from the collection of Kepe O.?. consists in determining the mass of the load m2, which must be attached to a rod of length l2 = 0.2 m so that the dynamic reactions of the bearings are equal to zero. It is known that a load of mass m1 = 2 kg attached to a rod of length l1 = 0.5 m rotates with a constant angular velocity ω.

To solve the problem it is necessary to use the laws of dynamics of rotational motion. According to Newton's first law, if a body is not acted upon by external moments of force, then it retains its angular velocity. In this case, the angular momentum of the body remains constant.

Since the dynamic reactions of the bearings must be equal to zero, the angular momentum must be conserved relative to the center of mass of the load system. From this condition we can write the equation:

m1l1ω = m2l2ω

where m1 and l1 are the mass and length of the first load, m2 and l2 are the mass and length of the second load, and ω is the angular velocity of rotation of the load system.

Solving this equation for m2, we get:

m2 = m1*l1/l2

Substituting the known values, we get:

m2 = 2*0.5/0.2 = 5

Answer: the mass of the second load is 5 kg.

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