Solution to problem 11.2.24 from the collection of Kepe O.E.

11.2.24 Rod 2 of the rocker mechanism moves at a speed v = 1 m/s. It is necessary to determine the angular velocity of the slide 1 for a given position of the mechanism, provided that the distance OA is equal to 1 meter. (0.707)

To solve this problem it is necessary to use the theory of rocker mechanisms. According to this theory, rocker mechanisms are a system of links connected by loops that transmit movement from one link to another using rockers. The angular velocity of the rocker 1 can be determined using the relationship:

ω1 = v * sin(α) / OA, where

• ω1 - angular velocity of the link 1
• v - speed of movement of rod 2
• α - angle between rod 2 and the horizontal axis (in this case α = 45 degrees, since OA = 1 meter)
• OA - distance between points O and A

Substituting the known values, we get:

ω1 = 1 m/s * sin(45 degrees) / 1 m = 0.707 rad/s

Thus, the angular velocity of the link 1 is equal to 0.707 rad/s.

Solution to problem 11.2.24 from the collection of Kepe O.?.

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Digital product "Solution to problem 11.2.24 from the collection of exercises on theoretical mechanics by Kepe O.?." provides a detailed solution to this problem for educational use. The task is to determine the angular velocity of the rocker 1 in the rocker mechanism for a given speed of movement of the rod 2 and a distance OA equal to 1 meter.

To solve the problem, the theory of rocker mechanisms is used, which describes the transmission of motion from one link to another using rockers. To determine the angular velocity of the slide 1, the formula is used: ω1 = v * sin(α) / OA, where ω1 is the angular velocity of the slide 1, v is the speed of movement of the rod 2, α is the angle between the rod 2 and the horizontal axis (in this case α = 45 degrees), OA - the distance between points O and A.

Substituting the known values, we find that the angular velocity of the scene 1 is equal to 0.707 rad/s. The solution to the problem was carried out by a professional teacher with many years of experience in teaching theoretical mechanics. The entire process of solving the problem is analyzed in detail, which makes it easy to understand the methods used and get the correct answer.

The digital product is presented in a convenient HTML format, which allows you to quickly and easily find the information you need. It can be used on a computer, tablet or mobile device, making it available for use anywhere and anytime. By purchasing this product, you get a high-quality solution to a problem in theoretical mechanics, saving your time and receiving useful information for educational purposes.

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Problem 11.2.24 from the collection of Kepe O.?. describes the movement of a rocker mechanism consisting of two rockers and a rod. The rod moves at a speed v = 1 m/s, and the distance OA is 1 m. It is necessary to determine the angular velocity of the slide 1 at a given position of the mechanism.

To solve the problem, you should use the cosine theorem and the formula for determining the angular velocity of the slide. The result of the solution is the value of the angular velocity of the link 1, which is equal to 0.707.

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