Solution K4-15 (Figure K4.1 condition 5 S.M. Targ 1989)

Solution K4-15 (Figure K4.1 condition 5 S.M. Targ 1989) is to determine the absolute speed and absolute acceleration of point M at time t1 = 1 s, when point M moves along straight line BD (Figure K4.0 - K4.4) or along a circle of radius R = 60 cm (Fig. K4.5 - K4.9) on a rectangular or round plate, respectively.

The function φ = f1(t), specified in table K4, determines the law of rotation of the plate around a fixed axis, where the positive direction of the angle φ is shown in the figures by an arc arrow. The axis of rotation in Figures 0, 1, 2, 5, 6 is perpendicular to the plane of the plate and passes through point O (the plate rotates in its plane), and in Figures 3, 4, 7, 8, 9 the axis of rotation OO1 lies in the plane of the plate (plate rotates in space).

Point M moves along the plate along straight line BD (Fig. 0-4) or along a circle of radius R (Fig. 5-9), and its relative motion is determined by the function s = AM = f2(t), where s is expressed in centimeters, and t - in seconds. Laws of motion of point M for Fig. 0-4 and for fig. 5-9 are given in table K4, and dimensions b and l are also given.

In the figures, point M is shown in a position at which s = AM > 0 (with s

To determine the absolute speed and absolute acceleration of point M at time t1 = 1 s, it is necessary to use formulas for the speed and acceleration of rotational motion.

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This product is a solution to a problem from the textbook by S.M. Targa 1989, associated with the movement of a point on a rotating plate. The solution includes graphical and numerical data necessary to determine the absolute speed and acceleration of a point at a certain point in time.

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Solution K4-15 (Figure K4.1 condition 5 S.M. Targ 1989) is a digital product containing a solution to the problem from the textbook by S.M. Targa 1989, associated with the movement of a point on a rotating plate. The solution includes graphical and numerical data necessary to determine the absolute speed and acceleration of a point at a certain time t1 = 1 s.

To do this, it is necessary to use formulas for the speed and acceleration of rotational motion. The problem considers the movement of point M along a straight line BD on a rectangular plate or along a circle of radius R = 60 cm on a round plate. The function φ = f1(t), specified in table K4, determines the law of rotation of the plate around a fixed axis, where the positive direction of the angle φ is shown in the figures by an arc arrow.

A description of the movement of point M on the plate is presented in table K4, where for each picture (from 0 to 9) the laws of movement of point M and the dimensions of the plate are specified. In the figures, point M is shown in a position at which s = AM > 0 (at s < 0, point M is in a different position).

The solution is presented in a convenient html format, which allows you to view and analyze data, as well as quickly find the information you need. This product may be useful to students and teachers studying physics and mechanics. After payment you will receive access to the full version of the solution to the problem, which will be available for download.

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The K4-15 solution is a device that is a rotating plate, which can be rectangular or round. The radius of the round plate is 60 cm. The plate rotates around a fixed axis in accordance with the given law φ = f1(t), which is indicated in Table K4. The direction of reading the angle φ is shown in the figures by an arc arrow. The axis of rotation can either be perpendicular to the plane of the plate and pass through point O, or lie in the plane of the plate and pass through point OO1.

Point M moves along a straight line BD or along a circle of radius R, and its relative motion is described by the law s = f2(t), where s is the distance from point A to point M in centimeters, and t is time in seconds. Dimensions b and l are also shown in the table. In the figures, point M is shown in a position at which s > 0 (for s < 0, point M is located on the other side of point A).

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