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acceleration applied Archimedes attraction axis balance ball beam bullet calculated centre of gravity circle couple curve cylinder D'Alembert's Principle diameter direction displacement Dynamics earth ellipse energy equal and opposite equations equilibrium exerted experiment feet per second fixed forces acting formula friction fulcrum Galileo Hence horizontal inches inclined plane kilogramme knife-edge Law of Motion length lever machine magnitude mass measured mechanical advantage Mechanics miles an hour moment of inertia moon moving Newton object observed orbit P₁ P₂ parallel parallelogram Parallelogram of Forces particle pendulum perpendicular point of support position pound poundals pressure principle produced proportional pull pulley quantity radius rest resultant right angles scale scale-pans Second Law Shew side Simple Harmonic Motion speed acquired sphere Stevinus stone straight line string swing tension Third Law triangle units of force velocity vibration W₁ weight wheel zero
Popular passages
Page 150 - The total energy of any body or system of bodies is a quantity which can neither be increased nor diminished by any mutual action of such bodies, though it may be transformed into any one of the forms of which energy is susceptible.
Page 249 - The third, viz. that the squares of the periodic times are proportional to the cubes of the mean distances...
Page 118 - I. Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.
Page 173 - Resultant of two co-planar Forces about any point in their plane is equal to the (algebraical) sum of the moments of the Forces.
Page 44 - ... power must be employed, parallel to the plane, which shall be to the weight of the body as the height of the plane is to its length.
Page 167 - CB and CD. Prove that the resultant force is represented in magnitude and direction by four times the line joining the middle points of the diagonals of the quadrilateral.
Page 280 - Show that the moment of inertia of a body about any axis is equal to the moment of inertia about a parallel axis through the center of mass plus the product of the mass of the body and the square of the distance between the axes.
Page 241 - ... by radii drawn to the fixed centre of force, are in one fixed plane, and are proportional to the times of describing them. Let the time be divided into equal parts, and in the first interval let the body describe the straight line AB with uniform velocity, being acted on by no force. In the second interval it would, if no force acted, proceed to c in AB produced, describing Be equal to AB ; so that the equal areas ASB, BSc described by radii AS, BS, cS drawn to the centre S, would be completed...
Page 14 - The moment of a force about a point is the product of the magnitude of the force by the perpendicular distance from the point to the line of action of the force.
Page 14 - It is called the Moment of the force about the point. Definition. The Moment of a Force about a point is the product of the Force by the perpendicular distance of the point from the line of action of the force.