# Danh mục: The Fundamental Equation of Dynamics

• ## The following parameters of the arrangement of Fig. 1.11 are available; the angle α which the inclined plane forms with the horizontal, and the coefficient of friction k between the body m1 and the inclined plane

The following parameters of the arrangement of Fig. 1.11 are available; the angle α which the inclined plane forms with the horizontal, and the coefficient of friction k between the body m1 and the inclined plane. The masses of the pulley and the threads, as well as the friction in the pulley, are negligible. Assuming…

• ## A small body was launched up an inclined plane set at an angle α=15∘ against the horizontal. Find the coefficient of friction, if the time of the ascent of the body is η=2.0 times less than the time of its descent

A small body was launched up an inclined plane set at an angle ( alpha =15{}^circ )  against the horizontal. Find the coefficient of friction, if the time of the ascent of the body is  ( eta =2.0 ) times less than the time of its descent. Solution: Case 1. When the body is lauched…

• ## Two touching bars 1 and 2 are placed on an inclined plane forming an angle α with the horizontal (Fig,. 1.10). The masses of the bars are equal to m1 and m2, and the coefficients of friction between the inclined plane and these bars are equal to k1 and k2 respectively, with k1>k2

Two touching bars 1 and 2 are placed on an inclined plane forming an angle α with the horizontal (Fig,. 1.10). The masses of the bars are equal to m1 and m2, and the coefficients of friction between the inclined plane and these bars are equal to k1 and k2 respectively, with ( {{k}_{1}}>{{k}_{2}} ).…

• ## In the arrangement of Fig. 1.9 the masses m0, m1, and m2 of bodies are equal, the masses of the pulley and the threads are negligible, and there is no friction in the pulley. Find the acceleration w with which the body m0 comes down, and the tension of the thread binding together the bodies m1 and m2, if the coefficient of friction between these bodies and the horizontal surface is equal to Consider possible cases

In the arrangement of Fig. 1.9 the masses m0, m1, and m2 of bodies are equal, the masses of the pulley and the threads are negligible, and there is no friction in the pulley. Find the acceleration w with which the body m0 comes down, and the tension of the thread binding together the bodies…

• ## An aerostat of mass m starts coming down with a constant acceleration w. Determine the ballest mass to be dumped for the aerostat to reach the upward acceleration of the same magnitude. The air drag is to be neglected.

An aerostat of mass m starts coming down with a constant acceleration Determine the ballest mass to be dumped for the aerostat to reach the upward acceleration of the same magnitude. The air drag is to be neglected. Solution: Let R be the constant upward thurst on the aerostat of mass m, coming down with…

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