Solution D1-35 (Figure D1.3 condition 5 S.M. Targ 1989)

Before us is Solution D1-35 (Figure D1.3 condition 5 S.M. Targ 1989). In this problem, a load of mass m, which received an initial speed v0 at point A, moves in a curved pipe ABC, which is located in a vertical plane. Pipe sections can be both inclined, or one horizontal and the other inclined (Fig. D1.0 - D1.9, Table D1). In section AB, in addition to the force of gravity, the load is acted upon by a constant force Q (its direction is shown in the figures) and a resistance force of the medium R, which depends on the speed v of the load and is directed against the movement. In section AB, the friction of the load on the pipe can be neglected. At point B, the load, without changing its speed, moves to the section BC of the pipe, where, in addition to the force of gravity, it is acted upon by the friction force (friction coefficient of the load on the pipe f = 0.2) and the variable force F, the projection of which Fx on the x axis given in the table. Considering the load to be a material point and knowing the distance AB = l or the time t1 of movement of the load from point A to point B, you need to find the law of movement of the load on the section BC, that is, express the coordinate x = BD in terms of time t, that is, x = f(t) .

This digital product - Solution D1-35 (Figure D1.3 condition 5 S.M. Targ 1989) is a unique solution to a problem in mechanics that can be useful to both students and teachers, and anyone interested in this field of science. The solution is presented in a beautifully designed HTML document that is easy to read and understand. The problem describes the movement of a load of mass m in a curved pipe, where various forces act on the load. The solution contains all the necessary calculations and explanations, as well as graphs of the load coordinates versus time. By purchasing this digital product, you will gain access to a complete and clear statement of the problem and its solution, which will help you better understand the mechanics and cope with similar problems.

Solution D1-35 (Figure D1.3 condition 5 S.M. Targ 1989) is a unique solution to a problem from mechanics that describes the movement of a load of mass m in a curved pipe ABC located in a vertical plane. The problem considers pipe sections that can be both inclined, or one horizontal and the other inclined, and on which, in addition to gravity, the load is acted upon by a constant force Q and a resistance force of the medium R, depending on the speed of the load. In section AB, the friction of the load on the pipe can be neglected. At point B, the load, without changing its speed, moves to the section BC of the pipe, where, in addition to the force of gravity, it is acted upon by the friction force and the variable force F, the projection of which Fx on the x axis is given in the table.

The solution contains all the necessary calculations and explanations, as well as graphs of the load coordinates versus time. By purchasing this digital product, you will gain access to a complete and clear statement of the problem and its solution, which will help you better understand the mechanics and cope with similar problems. The result of solving the problem is the expression of the coordinate x = BD through time t, that is, x = f(t), which will also be presented in the document.

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Solution D1-35 is a problem of finding the law of motion of a load of mass m in a curved pipe ABC located in a vertical plane. In section AB, in addition to the force of gravity, the load is acted upon by a constant force Q and a resistance force of the medium R, which depends on the speed of the load. At point B, the load passes to section BC of the pipe, where, in addition to the force of gravity, it is acted upon by the friction force and the variable force F, the projection of which Fx on the x axis is given in the table.

To solve the problem, it is necessary to find the law of movement of the load on the aircraft section, i.e. x = f(t), where x = BD. To do this, you need to use the laws of dynamics and the equations of motion of a material point. The distance AB = l or the time t1 of movement of the load from point A to point B is known. The coefficient of friction of the load on the pipe is f = 0.2.

Thus, solving the problem comes down to determining the acceleration of the load in the aircraft section and integrating the equation of motion to obtain the law of movement of the load in this section.

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