Solution D1-19 (Figure D1.1 condition 9 S.M. Targ 1989)

Let's consider the solution to problem D1-19, shown in Figure D1.1, condition 9 from the book by S.M. Targa 1989. Let us imagine a situation in which a load of mass m, having received an initial speed v0 at point A, moves along a curved pipe ABC located in a vertical plane. Pipe sections can be either inclined or horizontal (see Figures D1.0 - D1.9 and 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 indicated in the figures) and a resistance force of the medium R, which depends on the speed v of the load and is directed against its movement. The friction of the load on the pipe in section AB is not taken into account. 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 (with the coefficient of friction of the load on the pipe f = 0.2) and the variable force F, the projection of which Fx on the axis x is given in the table. Since the load is considered a material point and the distance AB = l or the time t1 of movement of the load from point A to point B is known, it is necessary to find the law of movement of the load on the section BC, that is, x = f(t), where x = BD.

This digital product is a solution to problem D1-19 from the book by S.M. Targa 1989, which is presented in Figure D1.1 of condition 9. The solution contains a detailed description of the situation in which a load of mass m moves along a curved pipe in a vertical plane, and also provides formulas and tables for calculating the law of motion of the load in the aircraft section. All information is presented in a beautiful html design, which makes studying this material more convenient and attractive. This product can be useful for both students and students, as well as professionals in the field of physics and engineering.


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Solution D1-19 depicts a system consisting of a load of mass m, which moves in a curved pipe ABC under the influence of gravity, a constant force Q and a variable force F. In section AB, the load moves with an initial speed v0, and is acted upon by the resistance force of the medium R , depending on the speed of the load. In the section BC, in addition to the force of gravity, the load 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 coefficient of friction between the load and the pipe is f = 0.2. The load is considered a material point, and the distance AB is equal to l or the time t1 of movement of the load from point A to point B is known. It is necessary to find the law of movement of the load on the section BC, that is, the function x = f(t), where x is the distance between points B and D. Figures D1.0 - D1.9 and table D1 contain information about the specific system parameters that are necessary to solve the problem.


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  1. Solution D1-19 helped me quickly and easily solve the problem from S.M.’s textbook. Targa.
  2. I really liked the convenient format for presenting the solution to the problem in Figure D1.1.
  3. Thanks to Solution D1-19, I better understood the material on probability theory.
  4. I recommend Solution D1-19 to everyone who studies mathematics and faces problems in probability theory.
  5. Solution of the problem from S.M. Targa with the help of Solution D1-19 was simple and fast.
  6. I am grateful to the author of Solution D1-19 for help in preparing for the exams.
  7. Solution D1-19 is an excellent digital product for mathematics students and teachers.



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I really liked how the solution of the problem is described in detail and clearly in Decision D1-19.

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