Solution to problem 11.2.9 from the collection of Kepe O.E.

In the OABC mechanism, connecting rod 2 moves along a parallelogram, which has 2 articulated joints. Bushing 3 slides along connecting rod 2, and rod 4 is hinged to point D of the bushing. For a given position of the mechanism, it is necessary to determine the speed of rod 4 if the speed of point A of crank 1 is 2 m/s. (Answer: 1)

Solution to problem 11.2.9 from the collection of Kepe O.?.

This digital product is a solution to problem 11.2.9 from the collection "Course of Theoretical Mechanics" by the author O.?. Kepe. The solution is presented in the form of an electronic document in PDF format, which can be downloaded after purchase.

This solution is intended for students and teachers studying a course in theoretical mechanics. It describes in detail the solution to problem 11.2.9, which concerns mechanisms and the speeds of points in them.

By purchasing this product, you receive a high-quality and complete solution to the problem, which will help you better understand the theoretical aspects of mechanics and successfully cope with exams and tests.

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Solution to problem 11.2.9 from the collection of Kepe O.?. is associated with mechanics and describes the movement of a mechanism consisting of a crank, connecting rod, articulated parallelogram and bushing. In this problem, it is necessary to determine the speed of rod 4 if the speed of point A of crank 1 is 2 m/s.

To solve the problem, you need to consider the geometric properties of the mechanism and apply the laws of mechanics. In particular, it is necessary to use the theorem on the change in kinetic energy and the law of conservation of energy.

From the problem conditions it follows that the speed of point A of crank 1 is 2 m/s. It is necessary to determine the speed of rod 4. To do this, you can use the properties of a paradoxical mechanism in which the relative velocities of the points are equal. Thus, the speed of point D of bushing 3 must be equal to the speed of point A of crank 1.

Next, you can determine the relative speed of the rod 4 relative to point D of the bushing 3, using the properties of the hinged parallelogram. As a result, we find that the speed of rod 4 is 1 m/s.

Thus, the answer to problem 11.2.9 from the collection of Kepe O.?. is 1 m/s.

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