Let's consider a cantilever beam AB, which is embedded in the wall. It is acted upon by a force F = 4N and a pair of forces with a moment M = 2 Nm. The length of the beam is 4 m. It is necessary to determine the moment at the embedment.
To solve the problem, we will use moment balance. The sum of all moments acting on the beam must be equal to zero. Since a pair of forces with a moment is known, we can write the equation:
The moment from the force F = 0, since it is applied to the end of the beam. Moment from a couple of forces:
М = F * l + M0,
where l is the distance from the point of application of force to the embedment, M0 - moment from a couple of forces.
We substitute the known values and get the equation:
2 N m = 4 N * l + M0,
where we find the value of the moment in the seal:
M0 = 2 N·m - 4 N * 4 m = -14 N·m.
Answer: 14.0 Nm.
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This digital product is a solution to problem 2.4.32 from the collection of Kepe O.?. in physics. The problem considers a cantilever beam AB embedded in a wall, which is acted upon by a force F = 4N and a pair of forces with a moment M = 2 Nm. It is necessary to determine the moment in the seal.
To solve the problem, a moment balance is used, according to which the sum of all moments acting on the beam must be equal to zero. Since a pair of forces with a moment is known, we can write the equation: Moment from force F = 0, since it is applied to the end of the beam. Moment from a pair of forces: M = F * l + M0, where l is the distance from the point of application of force to the embedment, M0 is the moment from a pair of forces.
Substituting the known values, we obtain the equation: 2 N m = 4 N * 4 m + M0, from which we find the value of the moment in the embedment: M0 = 2 N m - 4 N * 4 m = -14 N m. Answer: 14.0 Nm.
By purchasing this digital product, you receive a detailed solution to the problem with high-quality illustrations and a step-by-step explanation of the solution, as well as a guarantee of quality and relevance of information, the ability to download the product multiple times, convenient access to the product at any time and from anywhere in the world, saving time and money on search and purchasing paper textbooks. This product is an indispensable assistant for students and schoolchildren studying physics.
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Solution to problem 2.4.32 from the collection of Kepe O.?. consists in determining the moment in the embedding of the cantilever beam AB, which is acted upon by a force F = 4 N and a pair of forces with a moment M = 2 N m. It is known that the length of beam AB is 4 meters.
To solve the problem it is necessary to use equilibrium equations. According to the first equilibrium condition, the algebraic sum of all forces applied to the body must be equal to zero. According to the second equilibrium condition, the algebraic sum of the moments of all forces, relative to any point, must be equal to zero.
Applying these equations to this problem, we can write:
ΣF = 0: F - R = 0, where R is the ground reaction force.
ΣM = 0: -M + F * AB + R * AB/2 = 0.
By solving this system of equations, you can find the value of the moment in the embedding of the beam, which is equal to 14.0 N m.
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