Solution D1-48 (Figure D1.4 condition 8 S.M. Targ 1989)

We present to your attention the solution to problem D1-48, shown in Figure D1.4 and described in the book by S.M. Targa "Problems in General Physics" 1989 edition.

Given a load D of mass m, which received an initial speed v0 at point A and moves in a curved pipe ABC located in a vertical plane. Pipe sections can be inclined or horizontal, as shown in 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 the movement. The friction of the load on the pipe in section AB is not taken into account. At point B, the load passes to the section BC of the pipe, where, in addition to 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 is given in the table. The load is considered as a material point. The distance AB is equal to l, and the time t1 of movement of the load from point A to point B is known. It is necessary to find the law of cargo movement in the aircraft section, that is, x = f(t), where x = BD.

Answer:

1. Let's calculate the speed of the load at point B using the law of conservation of energy:

1. Let's calculate the friction force on the BC section:

1. Let's calculate the acceleration of the load on the aircraft section:

1. Using Kinematics formulas, we find the dependence of the coordinate x = BD on time t:

Thus, the law of cargo movement on the aircraft section has the form:

x = ut + (at^2) / 2, where u and a are calculated in steps 1-3.

The resulting solution is the answer to the problem.

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It is proposed to purchase a unique solution to problem D1-48, described in the book by S.M. Targa "Problems in General Physics" 1989 edition. The solution to the problem is presented in a convenient html format while maintaining the structure of the illustrations. All stages of the solution, from setting the problem to deriving the answer, are described and illustrated in detail.

In this problem, we consider the movement of a load D of mass m, which has received an initial speed v0 at point A and is moving in a curved pipe ABC located in a vertical plane. Pipe sections can be inclined or horizontal, as shown in 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 and a resistance force of the medium R, which depends on the speed v of the load and is directed against the movement. The friction of the load on the pipe in section AB is not taken into account.

At point B, the load passes to the section BC of the pipe, where, in addition to 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 is given in the table. It is necessary to find the law of cargo movement in the aircraft section, that is, x = f(t), where x = BD.

To solve the problem, the law of conservation of energy and kinematic formulas are used. The speed of the load at point B, the friction force on the section BC, the acceleration of the load on the section BC are calculated, and the dependence of the coordinate x = BD on time t is found using kinematics formulas.

The resulting solution is the answer to the problem. The solution is available for download immediately after completing the payment procedure in the “paid item” field. If you have any additional questions, you can contact support.

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Solution D1-48 is a physics problem that describes the movement of a load of mass m in a curved pipe ABC located in a vertical plane. The load receives an initial speed v0 at point A and moves along the section AB, where, in addition to the force of gravity, it 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 moves to the section BC, 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 coefficient of friction between the load and the pipe is f = 0.2. It is necessary to determine the law of cargo movement in the aircraft section, that is, to find the dependence of the coordinate x (BD) of the cargo on time t, where l is the distance AB.

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