Solution to problem 19.3.16 from the collection of Kepe O.E.

In the problem, it is necessary to determine the modulus of the moment M of a pair of forces if body 1 rises with an acceleration of 1 m/s². It is given that the masses of the bodies m₁ and m₂ are equal to 2 kg, the radius of the drum r is equal to 0.2 m and it is a uniform cylinder.

The solution to this problem can begin by determining the forces acting on the bodies. Since body 1 rises with acceleration, we can write the equation: m₁g - T = m₁a, where m₁g is the force of gravity of body 1, T is the tension force of the thread connecting bodies 1 and 2, a is the acceleration, which is equal to the acceleration of body 1’s rise.

Body 2 is also affected by the force of gravity m₂g and the reaction force of the support R.

The tension force T of the thread connects two bodies and has the same value for both bodies. Therefore, we can write one more equation: T = m₂g.

Now we can express the acceleration a in terms of known quantities: a = (m₁ - m₂)g / (m₁ + m₂).

The moment of force is defined as the product of force and arm. In this case, the shoulder is equal to the drum radius r. The modulus of the moment of force acting on body 1 is equal to: M = Tr = T * 2r.

Substituting the expression for T, we get: M = m₂g * 2r.

Substituting the numerical values, we get: M = 2 * 9.81 * 0.2 = 3.924 Nm.

So, the modulus of moment M of a pair of forces is equal to 3.924 Nm.

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This product is a digital solution to problem 19.3.16 from the collection of Kepe O.?. in physics. In the problem, it is necessary to determine the modulus of the moment M of a pair of forces if body 1 rises with an acceleration of 1 m/s². The product description contains a detailed solution to the problem, including all the necessary formulas, explanations and calculations that will help you understand each step of the solution. The solution is designed in a beautiful html format, which allows you to conveniently view and study it on any device. The product is intended for everyone who is looking for an effective way to improve their knowledge in the field of physics, including schoolchildren, students and anyone who wants to improve their knowledge in this field. The answer to the problem is 4.52 Nm.

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Problem 19.3.16 from the collection of Kepe O.?. consists in determining the modulus of the moment M of a pair of forces if the following parameters are known: body 1 rises with an acceleration of 1 m/s², the masses of bodies m1 and m2 are equal to 2 kg, the radius of drum 2 (which can be considered a homogeneous cylinder) is equal to 0.2 m.

To solve the problem, it is necessary to use the laws of dynamics and formulas for calculating the moment of force. The solution is to find the modulus of the moment M, which can be expressed in terms of the force applied to the body and the distance from the axis of rotation to the point of application of the force.

After carrying out the necessary calculations, we get the answer: the modulus of the moment M of a pair of forces is equal to 4.52.

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