A Treatise on Statics: With Applications to Physics, Volume 1Clarendon, 1890 - Statics |
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Common terms and phrases
angle of friction axis beam catenary centre of gravity centre of mass centroid circle co-ordinates coefficient of friction components cone constant coplanar curve cylinder denote density determined distance draw equal and opposite equation of virtual example external forces extremities find the position fixed point forces acting funicular given point Hence horizontal plane inclined plane isogonal conjugate joint kilogrammes length line of action m₁ magnitude and direction middle point motion P₁ P₂ parabola parallel forces particle passes perpendicular polygon portion position of equilibrium proportional radius reaction represented in magnitude resolving respectively rest resultant right line rigid body rope round sides string supposed surface system of forces tangent tension Theorem three forces total resistance triangle uniform velocity vertex vertical plane virtual displacement weight
Popular passages
Page 1 - Definition IV An impressed force is an action exerted upon a body, in order to change its state, either of rest, or of uniform motion in a right line. This force consists in the action only, and remains no longer in the body when the action is over. For a body maintains every new state it acquires, by its inertia only.
Page 284 - A frustum of a solid right cone is placed with its base on a rough inclined plane, the inclination of which is gradually increased ; determine the nature of the initial motion of the body. Ans. If the radii of the larger and smaller sections are R and r, and...
Page 106 - Prove that the algebraic sum of the moments of two concurrent forces about any point in their plane is equal to the moment of their resultant about the same point.
Page 299 - Hence show that the lines joining the middle points of the opposite sides of a quadrilateral bisect each other.
Page 147 - Hence, each force must be equal and opposite to the resultant of the other two; and...
Page 324 - ... distance h from the vertex, where h is the height of the water barometer. If the bell be lowered so that its vertex is at a depth 5A/2 below the surface of the water, find how high the water will rise in the bell.
Page 139 - Tin; rectangle, contained by the diagonals of a quadrilateral inscribed in a circle, is equal to the sum of the rectangles contained by its opposite sides. Let ABCD be any quadrilateral inscribed in a circle...
Page 196 - A machine may be defined either from a statical or from a kinematical point of view. Regarded statically, it is any instrument by means of which we may change the direction, magnitude, and point of application of a given force ; and regarded kinematically, it is any instrument by means of which we may change the direction and velocity of a given motion.
Page 298 - centre of gravity;' and find the centre of gravity of a pyramid. 2. Prove that the centre of gravity of the perimeter of a triangle is the centre of the circle inscribed in the triangle formed by joining the middle points of the given triangle.
Page 24 - ... lines at right angles to each other in the plane of the...