Solution to problem 17.1.10 from the collection of Kepe O.E.

It is necessary to determine the acceleration with which wedge 1 should be moved along the horizontal guide so that material point 2 does not slide along the inclined surface of the wedge. The answer is 5.66.

Solution to problem 17.1.10 from the collection of Kepe O..

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Our digital product is the solution to problem 17.1.10 from the collection of Kepe O.?. in physics. To solve it, it is necessary to determine the acceleration with which wedge 1 should be moved along the horizontal guide so that material point 2 does not slide along the inclined surface of the wedge. The answer to the problem is 5.66.

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Solution to problem 17.1.10 from the collection of Kepe O.?. represents the determination of the acceleration that must be applied to the wedge 1 so that the material point 2, located on the inclined surface of the wedge, does not slide. To solve this problem, you can use the equilibrium condition on material point 2, which means that the friction force acting on point 2 is equal to the projection of gravity on the axis perpendicular to the surface of the wedge.

From geometric considerations it follows that this projection is equal to the gravity component multiplied by the sine of the angle of inclination of the wedge surface. Thus, the acceleration required to prevent material point 2 from sliding is equal to the acceleration that is applied to wedge 1 and is equal to the projection of gravity on the axis parallel to the surface of the wedge. This acceleration can be found using Newton's law in projection onto this axis.

The result of solving the problem is the acceleration value that must be applied to wedge 1 so that material point 2 does not slide, and which is equal to 5.66.

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