Solution to problem 16.2.9 from the collection of Kepe O.E.

16.2.9 On a smooth floor and a smooth wall at an angle φ = 60°, a supported rod with a mass m = 3 kg begins to slide with an acceleration of the center of mass ac = i - 5.5j. Determine the value of the normal reaction at point A. (Answer 3)

Given a rod of mass 3 kg, which rests at an angle of 60° on a smooth wall and a smooth floor. The rod begins to slide with an acceleration of the center of mass equal to ac = i - 5.5j. It is necessary to determine the value of the normal reaction at point A.

To solve the problem, you can use the body equilibrium equations. Since the rod slides along a smooth surface, there is no frictional force, and all forces acting on the body are directed along the rod.

Let's expand the acceleration of the center of mass into projections: ax = 1, ay = -5.5.

Let's create equilibrium equations for the projections of forces: ΣFx = max = 0, ΣFy = may = 0.

From geometric considerations, it can be established that the angle between the vertical and the rod is 30°.

Let's expand the force of gravity into projections: mgsin(30) = 1/2mg.

Thus, the normal reaction is equal to half the weight of the rod: N = 1/2mg = 1/239.81 = 14.715 N.

Answer: 3.

Solution to problem 16.2.9 from the collection of Kepe O.?.

This digital product is a solution to problem 16.2.9 from the collection of problems in physics by Kepe O.?. The solution is presented in the form of a detailed description of the solution algorithm, with step-by-step explanations and diagrams.

This problem belongs to the branch of physics related to the dynamics of a rigid body. Solving the problem will help you master the principles of calculating the acceleration of the center of mass of a rigid body and the decomposition of forces onto projections in a coordinate system.

Solution to problem 16.2.9 from the collection of Kepe O.?. presented in a convenient html format, which allows you to easily and quickly familiarize yourself with the material on any device.

By purchasing this digital product, you receive useful material for studying physics, which can be used as an additional teaching aid or for preparing for exams.

This digital product is a solution to problem 16.2.9 from the collection of problems in physics by Kepe O.?. The problem is that a rod weighing 3 kg rests on a smooth floor and a smooth wall at an angle of 60°, which begins to slide with an acceleration of the center of mass ac = i - 5.5j. It is necessary to determine the value of the normal reaction at point A, which is equal to 3.

The solution to the problem is based on the equilibrium equations of the body, as well as on the expansion of the acceleration of the center of mass on the projection and the expansion of forces on the projection in the coordinate system. Since the rod slides along a smooth surface, there is no frictional force, and all forces acting on the body are directed along the rod. From geometric considerations, it can be established that the angle between the vertical and the rod is 30°. By expanding the force of gravity into projections, we can find that the normal reaction is equal to half the weight of the rod.

The solution to the problem is presented in the form of a detailed description of the solution algorithm, with step-by-step explanations and illustrated diagrams. It is presented in a convenient html format, which allows you to easily and quickly familiarize yourself with the material on any device. Solving the problem will help you master the principles of calculating the acceleration of the center of mass of a rigid body and the decomposition of forces onto projections in a coordinate system.

By purchasing this digital product, you receive useful material for studying physics, which can be used as an additional teaching aid or for preparing for exams.

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The product in this case is the solution to problem 16.2.9 from the collection of Kepe O.?. The task is to determine the value of the normal reaction at point A, on which a rod of mass 3 kg rests, which begins to slide along a smooth wall and floor at an angle φ=60° with acceleration of the center of mass ac=i-5.5j. The answer to the problem is 3.

To solve the problem it is necessary to use the laws of rigid body dynamics and equilibrium equations. First, you need to determine the forces acting on the rod, then create equilibrium equations along the x and y axes, and find the normal reaction at point A.

Thus, this solution to the problem is a sequence of logical steps aimed at solving the problem by applying the appropriate laws and formulas.

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