Solution K3-51 (Figure K3.5 condition 1 S.M. Targ 1989)

Solution to problem K3-51 from the book by S.M. Targa (1989) is a flat mechanism consisting of rods 1, 2, 3, 4 and slider B or E (see figures KZ.0 - K3.7) or rods 1, 2, 3 and sliders B and E (Figures K3.8, K3.9), connected to each other and to fixed supports O1, O2 by hinged joints. In the middle of rod AB there is point D. The lengths of the rods are l1 = 0.4 m, l2 = 1.2 m, l3 = 1.4 m, l4 = 0.6 m. The position of the mechanism is determined by the angles α, β, γ, φ ,θ. The values ​​of these angles and other specified parameters are indicated in table. Short circuit (for Fig. 0-4) or in table. KZb (for Fig. 5-9); at the same time in the table. Short circuits ω1 and ω4 are considered constant. It is necessary to determine the values ​​indicated in the tables in the “Find” columns. The arc arrows in the figures indicate how, when constructing a drawing of a mechanism, the corresponding angles should be plotted: clockwise or counterclockwise (for example, angle γ in Fig. 8 should be plotted from DB clockwise, and in Fig. 9 - counterclockwise arrows, etc.). The construction of the drawing should begin with a rod, the direction of which is determined by the angle α. For greater clarity, the slider with guides should be depicted as in the KZ example (see Fig. KZb). The given angular velocity and angular acceleration should be considered directed counterclockwise, and the given speed vB and acceleration aB should be considered directed from point B to b (in Fig. 5-9).

Decision K3-51

The digital product “Solution K3-51” is an educational material containing the condition of the problem and its solution from the book by S.M. Targa "Methods for solving problems in general physics."

Problem K3-51 describes a flat mechanism consisting of rods and sliders connected to each other and to fixed supports by hinge joints. The lengths of the rods and the angles that determine the position of the mechanism are given in the tables. It is necessary to determine the values ​​indicated in the tables in the "Find" columns.

The solution to the problem describes in detail the sequence of actions and the formulas used. The drawings included in the condition and solution of the problem help to visualize the mechanism and the process of its movement.

The digital product "Solution K3-51" is presented in HTML format and can be used for independent study of physics or as additional material for training courses.

Solution K3-51 is a digital product, which is an educational material containing the condition of the problem and its solution from the book by S.M. Targa "Methods for solving problems in general physics."

The mechanism under consideration is a flat mechanism consisting of rods and sliders connected to each other and to fixed supports by hinge joints. The lengths of the rods and the angles that determine the position of the mechanism are given in the tables. It is necessary to determine the values ​​indicated in the tables in the "Find" columns.

The solution to the problem describes in detail the sequence of actions and the formulas used. The drawings included in the condition and solution of the problem help to visualize the mechanism and the process of its movement.

The digital product "Solution K3-51" is presented in HTML format and can be used for independent study of physics or as additional material for training courses.

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Solution K3-51 is a flat mechanism consisting of four rods (1, 2, 3, 4) and a slider B or E, connected by hinges to each other and to fixed supports O1, O2. Point D is in the middle of rod AB. The lengths of the rods are l1 = 0.4 m, l2 = 1.2 m, l3 = 1.4 m, l4 = 0.6 m. The position of the mechanism is determined by the angles α, β, γ, φ, θ.

To construct a drawing of the mechanism, it is necessary to set aside the corresponding arc arrows indicated in the figures, according to the clockwise or counterclockwise direction. The construction of the drawing begins with a rod, the direction of which is determined by the angle α. For greater clarity, the slider with guides is depicted as in Figure KZb.

The given angular velocity and angular acceleration are considered to be directed counterclockwise, and the given speed vB and acceleration aB are considered to be directed from point B to b (in Figures 5-9).

To solve problems associated with this mechanism, it is necessary to determine the values ​​​​indicated in the tables in the “Find” columns, using data from the KZa and KZb tables.

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