By A. E. H. LOVE
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Additional resources for A TREATISE ON THE MATHEMATICAL THEORY OF ELASTICITY VOLUME-1
30 m͞s2 by a rope pulling straight upward on it. What must be the tension in the rope? The free-body diagram for the object is shown in Fig. 3-8(b). 1 N. 6 N ϭ 51 N. As a check, we notice that FT is larger than FW, as it must be if the object is to accelerate upward. Fig. 3-8 Fig. 0-kg box across a horizontal ﬂoor at constant speed. What is the coefﬁcient of friction between ﬂoor and box? Determine it to three signiﬁcant ﬁgures even though that’s quite unrealistic. The free-body diagram for the box is rendered in Fig.
44 FN 551 A 200-N wagon is to be pulled up a 30° incline at constant speed. How large a force parallel to the incline is needed if friction effects are negligible? The situation is shown in Fig. 3-16(a). Because the wagon moves at a constant speed along a straight line, its velocity vector is constant. Therefore, the wagon is in translational equilibrium, and the ﬁrst condition for equilibrium applies to it. We isolate the wagon as the object. Three non-negligible forces act on it: (1) the pull of gravity FW (its weight), directed straight down; (2) the applied force F exerted on the wagon parallel to the incline to pull it up the incline; (3) the push FN of the incline that supports the wagon.
The Friction Force (Ff) is a tangential force acting on an object that opposes the sliding of that object on an adjacent surface with which it is in contact. The friction force is parallel to the surface and opposite to the direction of motion or of impending motion. Only when the applied force exceeds the maximum static friction force will an object begin to slide. The Normal Force (FN) on an object that is being supported by a surface is the component of the supporting force that is perpendicular to the surface.
A TREATISE ON THE MATHEMATICAL THEORY OF ELASTICITY VOLUME-1 by A. E. H. LOVE