Solution to problem 9.5.7 from the collection of Kepe O.E.

This product is a digital product, it is a solution to problem K1-74 (Figure K1.7 condition 4 S.M. Targ 1989) with a detailed description of the source data, solution methods and answers. The solution includes two parts - K1a and K1b, and is designed in accordance with beautiful html markup.

In problem K1a, it is necessary to find the equation of the trajectory of a point moving in the xy plane and determine the speed, acceleration, tangential and normal acceleration, and the radius of curvature at the corresponding point on the trajectory. The dependence x = f1(t) is indicated in the figures, and the dependence y = f2(t) is given in the table. K1.

In problem K1b, it is necessary to determine the speed and acceleration of a point moving along a circular arc of radius R = 2 m at time t1 = 1 s. In the figure, it is necessary to depict the vectors v and a, assuming that the point at this moment is in position M, and the positive direction of reference s is from A to M.

This product is an ideal solution for those who are looking for a high-quality and accurate solution to problem K1-74 (Figure K1.7 condition 4 S.M. Targ 1989) with a beautiful design and convenient presentation of the material.

"Solution to problem 9.5.7 from the collection of Kepe O.?." is a digital product designed for students and teachers studying mathematics and physics. This product contains a detailed solution to problem 9.5.7 from the collection of Kepe O.?., which is one of the most popular textbooks in mathematics and physics.

This digital product is designed in a beautiful HTML format, which makes it easy to read and navigate through the document. It contains a complete solution to the problem, including a step-by-step description of the solution process, graphic and numerical illustrations, as well as answers to all questions posed in the problem.

By purchasing the digital product “Solution to Problem 9.5.7 from the collection of Kepe O.?”, you receive useful material for improving your knowledge in the field of mathematics and physics, as well as a convenient and beautifully designed document that can be used for preparing for exams and independent work and scientific research.

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The product in this case is the solution to problem 9.5.7 from the collection of Kepe O.?.

According to the conditions of the problem, there is a crank OA with a length of 80 mm, which rotates at a constant angular velocity ? (unknown quantity). There is also a connecting rod AB with a length of 160 mm, connecting points A and B. It is necessary to determine the distance from point A to the instantaneous center of speed of the connecting rod AB.

To solve the problem it is necessary to use geometric considerations and the laws of kinematics. The instantaneous center of speed of the connecting rod AB is the intersection point of points A and B, normal to the speed vectors, drawn through the corresponding points on the crank. The distance from point A to the instantaneous center of speed of the connecting rod AB can be determined by the formula:

d = (l1 x l2) / (l1 + l2),

where l1 is the length of the crank, l2 is the length of the connecting rod.

Substituting the known values, we get:

d = (80 x 160) / (80 + 160) = 0.16 m (answer).

Thus, the solution to the problem is to determine the distance from point A to the instantaneous center of speed of the connecting rod AB, which is equal to 0.16 m.

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