Mechanics

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University Press, 1904 - 332 trang
 

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Trang 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.
Trang 249 - The third, viz. that the squares of the periodic times are proportional to the cubes of the mean distances...
Trang 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.
Trang 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.
Trang 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.
Trang 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.
Trang 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.
Trang 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...
Trang 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.
Trang 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.

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