Solution to problem 19.3.5 from the collection of Kepe O.E.

19.3.5 It is necessary to determine the modulus of moment M of a pair of forces. It is known that at the moment of time when the angle φ is equal to 30°, the main moment of inertia forces of the crank MF is equal to 0.2 N•m, and the main vector of inertia forces of the slider F is equal to 1 N. The lengths of the links OA and AB are equal to 0.1 m. The mechanism is in a horizontal plane. The answer to the problem is 0.3.

This digital product is a solution to problem 19.3.5 from the collection of Kepe O.?. This product provides a complete and detailed solution to this mathematical problem that can be useful to students and teachers of mechanics and physics. The solution is made using professional methods and tools, which ensures the accuracy and reliability of the answer. Beautiful design in HTML format makes this product easy to use and allows you to quickly find the information you need. This product is an indispensable assistant for successful preparation for exams and independent study of the subject.

This product is a solution to mathematical problem 19.3.5 from the collection of Kepe O.?. The task is to determine the modulus of the moment M of a pair of forces that act on a mechanism consisting of a crank MF and a slider F. It is known that at an angle φ = 30°, the main moment of inertia of the crank MF is equal to 0.2 N•m, and the main vector the inertia force of the slider F is equal to 1 N. The lengths of the links OA and AB are equal to 0.1 m, and the mechanism is in the horizontal plane.

The presented solution was carried out using professional methods and means, which guarantees the reliability and accuracy of the answer. The result is formatted in HTML, which ensures ease of use and quick access to the necessary information. This solution will be useful for students and teachers studying mechanics and physics, and will be an indispensable assistant for preparing for exams and self-studying the subject. The answer to the problem is 0.3.


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Solution to problem 19.3.5 from the collection of Kepe O.?. is associated with determining the modulus of the moment of a pair of forces in a mechanism that is located in the horizontal plane. To solve the problem, you need to know that the main moment of inertia forces of the crank MF is equal to 0.2 N•m, and the main vector of inertia forces of the slider F is equal to 1 N. It is also known that the angle φ is equal to 30°, and the lengths of the links OA and AB are equal to 0 ,1m.

To determine the modulus of moment M of a pair of forces, you must use the formula:

М = Ф * AB * sin(φ)

where Ф is the force vector, AB is the distance between the points of application of the force and the axis of rotation, φ is the angle between the force vector and the axis of rotation.

Substituting the known values, we get:

M = 1 N * 0.1 m * sin(30°) = 0.05 N•m

Thus, the modulus of the moment M of a pair of forces is equal to 0.05 N•m, which does not coincide with the desired answer of 0.3. There may be a typo in the problem or an incorrect answer may have been given by mistake.


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