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angle angular acceleration angular momentum angular velocity axes axis of rotation axle ball beam belt body called center of gravity circle coefficient of friction compression constant cord cos2 couple curve diameter direction distance dt dt earth equal equation equilibrium polygon Find the center force polygon forces acting forces with respect formula given graphically gravity axis Hence ice boat impact impressed forces inch instant kinetic energy length line of action load mass maximum moments of inertia parabola parallel forces pendulum perpendicular pivot point of application position preceding problem pressure projectile pulley radius radius of gyration reactions represent resistance rest resultant revolution revolutions per minute shaft Show shown in Fig Simpson's Rule sin2 straight line stress string polygon Suppose tangent tension tion triangle truss vector vertical vibration weight wheel z-axis zero
Page 188 - Newton's Three Laws of Motion," and are as follows: (1) All bodies continue in a state of rest, or of uniform motion in a straight line, unless acted upon by some external force that compels a change.
Page 197 - Newton generalized the law of attraction into a statement that every particle of matter in the universe attracts every other particle with a force which varies directly as the product of their masses and inversely as the square of the distance between them; and he thence deduced the law of attraction for spherical shells of constant density.
Page v - In the preparation of this book the author has had in mind the fact that the student finds much difficulty in seeing the applications of theory to practical problems. For this reason each new principle developed is followed by a number of applications. In many cases these are illustrated, and they all deal with matters that directly concern the engineer. It is believed that the problems in mechanics should be practical engineering work. The author has endeavored to follow out this idea in writing...
Page 130 - What value of a gives /,„, minimum in this case? 54. The Ellipse of Inertia. — It is interesting to note, at this point, the relations between the moments of inertia with respect to all the lines, in the plane of the area passing through a point. We have seen that for every point in an area there is always a pair of rectangular axes for which the moment of inertia is a maximum or a minimum ; that is, there is always a pair of principal axes. The criterion for such axes was found to be...
Page 188 - Newton's Laws of Motion. — Three fundamental laws may be laid down which embody all the principles in accordance with which motion takes place. These are the result of observation and experiment and are known as Newton's Laws of Motion. First Law. Every body remains in a state of rest or of uniform motion in a straight line unless acted upon by some unbalanced force.
Page 23 - The moment of the resultant of two component forces with respect to any point in their plane is equal to the algebraic sum of the moments of the two components with respect to the same point.
Page 38 - The attention of the student is called to the fact that the forces acting upon the particles of a body, due to the attraction of the earth, are not parallel, but meet in the center of the earth. For all practical purposes, however, they are considered parallel.
Page 257 - Ib. is pulled up a plane, inclined at an angle of 30° with the horizontal, by a horizontal force of 250 Ib.
Page 225 - The initial velocity w0 is the same as that of a body falling freely from the directrix of the parabolic path to the point 0 on the curve. Show that the velocity of the body at any point on the curve is the same as would be acquired in falling freely from the directrix to that point. Problem 134. A fire hose delivers water with a nozzle velocity »o> at an angle of elevation «. How high up on a vertical wall, situated at a distance d' from the nozzle, will the water be thrown?