A Collection of Problems in Illustration of the Principles of Elementary MechanicsDeighton, Bell and Company, 1880 - 267 σελίδες |
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
attached axle centre of gravity chord coefficient of friction collision common cos² cycloid cylinder denote described determine directrix distance equal equation feet find the inclination find the position fixed point forces act fulcrum given circle given point hence highest point hinge horizontal plane impinges inches inclined plane intersection join lamina latus rectum length lever line of quickest lowest point magnitude mechanical advantage middle point motion parabola parallel particle pendulum point of projection position of equilibrium pound weight pounds prove quickest descent radii radius ratio required weight respectively rest right angles seconds SECT separate string shew sides sin² sliding smooth sphere straight line string passing supported supposing suspended system of pullies t₁ tangent tension three forces uniform rod velocity of projection vertex vertical plane w₁ wheel
Δημοφιλή αποσπάσματα
Σελίδα v - The elementary parts of Statics, treated without the Differential Calculus ; namely, the Composition and Resolution of Forces acting in one plane on a point, the Mechanical Powers, and the properties of the Centre of Gravity.
Σελίδα 174 - A body falls from rest from a height so great that the fact that the force of gravity varies inversely as the square of the distance from the center of the earth cannot be neglected.
Σελίδα 72 - A weight of given magnitude moves along the circumference of a circle in which are fixed also two other weights; prove that the locus of the centre of gravity of the three weights is a circle. If the immoveable weights be varied in magnitude, their sum being constant, prove that the corresponding circular loci intercept equal portions of the chord joining the immoveable weights.
Σελίδα 144 - A, with a given velocity ; find the direction in which another body must be projected with a given velocity from a point B in the same horizontal line with A, so as to strike the first body.
Σελίδα 226 - Straight lines drawn at right angles to the tangents of a parabola at the points where they meet a given straight line perpendicular to the axis, are in general tangents of a confocal parabola. 7. A ball thrown from any point in one of the walls of a rectangular room after striking the three others returns to the point of projection before it falls to the ground. Shew that the space due to the velocity of projection is greater than the diagonal of the floor.
Σελίδα 260 - A stone is thrown in such a manner that it would just hit a bird at the top of a tree, and afterwards reach a height double that of the tree : if at the moment of throwing the stone, the bird flies away horizontally...
Σελίδα 189 - A ball is projected from the middle point of one side of a billiard table so as to strike in succession one of the sides adjacent to it, the side opposite to it, and a ball placed in the centre of the table...
Σελίδα 95 - Two equal circular disks with smooth edges, placed on their flat sides in the corner between two smooth vertical planes inclined at a given angle, touch each other in the line bisecting the angle. Find the radius of the least disk which may be pressed between them without causing them to separate. LXXIV. If two scales, one containing a weight P and the other a weight Q, be suspended by a string over a rough sphere, Q2...
Σελίδα 98 - Three rods, jointed together at their extremities, are laid on a smooth horizontal table ; and forces are applied at the middle points of the sides of the triangle formed by the rods, and respectively perpendicular to them.
Σελίδα 259 - Two buckets of given weights are suspended by a fine inelastic string placed over a fixed pully : at the centre of the base of one of the buckets a frog of given weight is sitting ; at an instant of instantaneous rest of the buckets, the frog leaps vertically upwards so as just to arrive at the level of the rim of its...