Solution to problem 19.3.7 from the collection of Kepe O.E.

19.3.7 It is necessary to determine the modulus of the moment M of a pair of forces acting on disk 1, the radius of which OA = 0.1 m. It is known that at the moment of time when the radius OA is perpendicular to the guides of the slider 2, the moment of inertia of the disk MF is 0.1 N • m, the inertial force of the slider F2 is equal to 1 N, and the gravity force of the slider G2 is also equal to 1 N. The answer to the problem is 0.3.

P.S. To solve the problem, it is necessary to use the moment balance equation, which allows you to find the moment of forces in a given system.

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Problem 19.3.7 from the collection of Kepe O.?. consists in determining the modulus of the moment M of a pair of forces acting on disk 1 of radius OA = 0.1 m. To solve the problem, you need to know that at the moment of time when the radius OA is perpendicular to the guides of the slider 2, the moment of inertia of the disk MF is equal to 0.1 N • m, the inertial force of the slider F2 is equal to 1 N, and the gravity force of the slider G2 is also equal to 1 N.

To solve the problem, you need to use a formula connecting the moment of force and the forces acting on the body:

М = F * r,

where M is the modulus of the moment of force, F is the force acting on the body, r is the radius at which the force acts.

According to the conditions of the problem, a pair of forces acts on the disk, the value of which is unknown, so we denote it F1. Then the modulus of the moment of this pair of forces acting on the disk will be equal to:

M = F1 * OA.

It is also known from the conditions of the problem that the inertial force Ф2 and the force of gravity G2 act on the slider, so we can write the equilibrium equation for the slider:

F2 + G2 = F1.

Substituting the value OA = 0.1 m and solving the equation, we get:

F1 = F2 + G2 = 1 N + 1 N = 2 N, M = F1 * OA = 2

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