Solution to problem 9.7.16 from the collection of Kepe O.E.

The problem requires finding the acceleration of a slider in a crank-slider mechanism for given values ​​of the angular velocity of the crank and the lengths of the links OA and AB. To solve this problem you can use the following formula:

a = r * ?^2 * cos(?) - r * ? * sin(?),

where a is the desired acceleration of the slider, r is the length of link AB, ? - angular velocity of the crank, ? - the angle of rotation of the crank, measured from the position corresponding to the maximum acceleration of the slider.

Substituting known values, we get:

a = 0.5 * 1^2 * cos(0) - 0.5 * 1 * sin(0) = 0.5 * 1 - 0 = 0.5.

Answer: 0.5 m/s^2.

Solution to problem 9.7.16 from the collection of Kepe O.?. is a digital product designed for students and teachers studying mechanics. This product is a ready-made solution to the problem, which will allow you to quickly and efficiently master the material and pass testing.

The product design is made in a beautiful html format, which makes it easy to navigate the structure and content of the material. Inside the product you will find a detailed description of the problem, as well as its solution with a step-by-step explanation.

By purchasing this digital product, you receive a ready-made solution to the problem, which can be used as educational material, as well as in preparation for exams and testing.

This product is a ready-made solution to problem 9.7.16 from the collection of Kepe O.?. in mechanics. The task is to determine the acceleration of the slider in the crank-slider mechanism in a given position, with known values ​​of the angular velocity of the crank and the lengths of the links OA and AB.

The solution to the problem is presented in a beautiful html format with a detailed description and step-by-step explanation. To solve it, use the formula a = r * ?^2 * cos(?) - r * ? * sin(?), where a is the desired acceleration of the slider, r is the length of link AB, ? - angular velocity of the crank, ? - angle of rotation of the crank.

By purchasing this product, you will receive a ready-made solution to the problem, which can be used as educational material or to prepare for exams and testing. The answer to this problem is 0.225 m/s^2.


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Problem 9.7.16 from the collection of Kepe O.?. consists in determining the acceleration of the slider B of the crank-slider mechanism under given conditions. The angular velocity of the crank is known (? = 1 rad/s), as well as the lengths of the links OA (0.3 m) and AB (0.5 m). It is necessary to find the acceleration of slider B in this position.

The solution to this problem can be found using the formula for determining acceleration in kinematics. It is necessary to find the projection of the acceleration of the slider onto the axis passing through the center of the crank. To do this, you can use geometric considerations and the cosine theorem.

The answer to the problem is 0.225.


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