Manual of mechanics, by J.A. Galbraith and S. Haughton

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Page 4 - If a moving point possess simultaneously velocities which are represented in magnitude and direction by the two sides of a parallelogram drawn from a point, they are equivalent to a velocity which is represented in magnitude and direction by the diagonal of the parallelogram passing through the point.
Page 27 - The resultant of two forces acting at right angles is double the lesser of the components ; find the angles it makes with the components. 3. A body is supported on a smooth inclined plane by a force parallel to the plane. Show that the power is to the resistance as the height of the plane is to its length. 4. A uniform bar 4 ft.
Page 48 - Lex I Corpus omne perseverare in statu suo quiescendi vel movendi uniformiter in directum, nisi quatenus illud a viribus impressis cogitur statum suum mutare.
Page 15 - ... the center of mass ( 79) ; and if the center of mass be at rest it will remain at rest, or if it be moving in any way it will continue moving with constant velocity. The angular velocity produced by the couple must therefore be about some axis through the center of mass. 99. Resultant of any Number of Parallel Forces. To find the resultant of any number of parallel forces, whether in one plane or not, we may find the resultant of two, then combine this resultant with a third and so on. The...
Page 23 - Then the proportion teaches us that the power and weight will be in equilibrium when the power is to the weight as the radius of the axle is to the radius of the wheel.
Page 75 - The force is proportional to the square of the velocity and inversely proportional to the radius of turn during radial acceleration.
Page 25 - A weight of 17 Ibs. just balances a weight of 79 Ibs. on a wheel and axle. What will be the radius of the axle, if that of the wheel be 1 7 inches?
Page 28 - Ibs. into a cart 3 feet high, by means of a plank 14 feet long resting against the cart ? Ans. the force must exceed 206 Ibs.
Page 50 - EXAMPLES. 1. A body moves under the influence of two velocities, at right angles to each other, equal respectively to 17.14 feet and 13.11 feet per second.
Page 23 - The power is applied to the circumference of the wheel, and the weight to the circumference of the axle.

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