Solution D6-25 (Figure D6.2 condition 5 S.M. Targ 1989)

The mechanical system described by solution D6-25 (condition 5, S.M. Targ, 1989) consists of two loads (1 and 2), a stepped pulley (3) with step radii R3 = 0.3 m, r3 = 0.1 m and radius of gyration relative to the axis of rotation ρ3 = 0.2 m, block (4) of radius R4 = 0.2 m and roller (or moving block) (5). Body 5 is represented as a solid homogeneous cylinder, and the mass of block 4 is evenly distributed along the rim. The coefficient of friction of the loads on the plane is f = 0.1. The bodies of the system are connected to each other by threads thrown over blocks and wound on pulley 3 (or on a pulley and a roller), with sections of the threads parallel to the corresponding planes. A spring with stiffness coefficient c is attached to one of the bodies. The system is at rest, but under the action of a force F = f(s), which depends on the displacement s of the point of its application, the system begins to move. The deformation of the spring at the moment the movement begins is zero. When moving, pulley 3 is subject to a constant moment M of resistance forces (from friction in the bearings). It is necessary to determine the value of the desired quantity at the moment in time when the displacement s becomes equal to s1 = 0.2 m. The desired quantity is indicated in the “Find” column of the table, where it is indicated: v1, v2, vC5 - the speed of loads 1, 2 and the center of mass of the body 5, respectively, ω3 and ω4 are the angular velocities of bodies 3 and 4. All rollers, including rollers wrapped in threads (such as roller 5 in Fig. 2), roll on planes without sliding. All figures do not show load 2 if m2 = 0; the remaining bodies should also be depicted when their mass is zero.

Solution D6-25

We present to your attention a digital product - solution D6-25, based on condition 5 from the book by S.M. Targa, published in 1989. This solution describes a mechanical system consisting of two weights, a step pulley, a block, a roller, and a spring. All bodies of the system are connected by threads thrown through blocks and wound on a pulley, and move under the influence of a force depending on the movement of the point of its application and a constant moment of resistance acting on the pulley.

Solution D6-25 contains a detailed description of the mechanical system, as well as a table indicating the required value depending on the specified parameters. Beautiful html design allows you to conveniently view and analyze information. This digital product will be useful to students, teachers and specialists in the field of mechanics.

Solution D6-25 (Figure D6.2 condition 5 S.M. Targ 1989) is a digital product that contains a detailed description of the mechanical system consisting of weights 1 and 2, step pulley 3, block 4, roller 5 and spring. All bodies of the system are connected by threads thrown through blocks and wound on a pulley, and move under the influence of a force depending on the movement of the point of its application and a constant moment of resistance acting on the pulley.

The solution presents the system parameters, such as the radii of the pulley steps, the radius of inertia of the pulley, the radius of the block, the coefficient of friction of the loads on the plane, the spring stiffness coefficient, and also indicates that all rollers roll on planes without sliding.

The solution also states that it is necessary to determine the value of the desired quantity at the moment in time when the displacement of the point of its application becomes equal to 0.2 m. The desired quantity is indicated in the “Find” column of the table, where the speeds of loads 1 and 2, the speed of the center of mass of the body 5, are indicated. angular speeds of pulley 3 and block 4.

Solution D6-25 is useful for students, teachers and specialists in the field of mechanics who need a detailed description of a mechanical system and a solution to the problem of determining the required quantity.

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Solution D6-25 is a mechanical system consisting of two loads (load 1 and load 2), a stepped pulley 3 with step radii R3 = 0.3 m, r3 = 0.1 m and radius of gyration relative to the axis of rotation ρ3 = 0.2 m, block 4 of radius R4 = 0.2 m and roller (or moving block) 5. Body 5 is considered a solid homogeneous cylinder, and the mass of block 4 is considered uniformly distributed along the rim. The coefficient of friction of the loads on the plane is f = 0.1. The bodies of the system are connected to each other by threads thrown through blocks and wound on pulley 3 (or on a pulley and a roller); sections of threads are parallel to the corresponding planes. A spring with stiffness coefficient c is attached to one of the bodies. Under the influence of force F = f(s), which depends on the displacement s of the point of its application, the system begins to move from a state of rest; The deformation of the spring at the moment the movement begins is zero. When moving, pulley 3 is subject to a constant moment M of resistance forces (from friction in the bearings). It is necessary to determine the value of the desired quantity at the moment in time when the displacement s becomes equal to s1 = 0.2 m. The desired quantity is indicated in the “Find” column of the table, where it is indicated: v1, v2, vC5 - the speed of loads 1, 2 and the center of mass of the body 5, respectively, ω3 and ω4 are the angular velocities of bodies 3 and 4. All rollers, including rollers wrapped in threads, roll on planes without sliding. In all figures, do not depict load 2 if m2 = 0; the remaining bodies should also be depicted when their mass is zero.

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