An elementary treatise on mechanics

Longmans, Green and Company, 1889

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Δημοφιλή αποσπάσματα

Σελίδα 26 - If any number of forces acting at a point can be represented in magnitude and direction by the sides of a POLYGON taken in order, they are in equilibrium.
Σελίδα 27 - The moment of a force about a point is the product of the force and the perpendicular distance from the line of action of the force to the point.
Σελίδα 109 - Ibs. weight, in equilibrium, it being given that the force, the reaction of the plane, and the weight of the body are in arithmetical progression. 9. A number of loaded trucks, each containing 1 ton, on one part of a tramway inclined at an angle a to the horizon supports an equal number of empty trucks on another part whose inclination is j3. Find the weight of a truck. 10. A body, of weight 50 Ibs., is in equilibrium on a smooth plane inclined at an angle of 20° 20...
Σελίδα 122 - In a system in which each pulley hangs by a separate string and the strings are parallel, there is an equilibrium when P : W :: 1 : that power of 2 whose index is the number of moveable pulleys.
Σελίδα 64 - ... cone on the same base and of half the height of the original cone; find the position of the centre of gravity of the cone so formed.
Σελίδα 63 - D are the angles of a parallelogram taken in order; like parallel forces proportional to 6, 10, 14, and 10 respectively act at A, B, C and D ; shew that the centre and resultant of these parallel forces remain the same, if, instead of these forces, parallel forces, proportional to 8, 12, 16 and 4, act at the points of bisection of the sides AB, BC, CD, and DA respectively. 83. Given the centre of gravity of the two portions of a body, to find the centre of gravity of the whole body. Let the given...
Σελίδα 43 - couple about any point in the plane of the couple is equal to the algebraic sum of the moments of the two forces composing the couple about the same point.
Σελίδα 84 - ... straight lever, the weight of the lever being neglected. A uniform straight lever, 4 feet long, weighs 10 Ibs., the fulcrum is at one end ; find what upward force acting at the other end will keep the lever horizontal when a weight of 10 Ibs. is hung at a distance of I foot from the fulcrum. Find also the pressure on the fulcrum and the direction in which it acts. (S. and A. Exam. 1891.) Am.
Σελίδα 14 - Parallelogram of Forces.— If two forces acting at a point be represented in magnitude and direction by the...
Σελίδα 95 - Required the dimensions of the cylinder, so that the part taken away may be equal to that which remains. 9. In a combination of wheels and axles, in which the circumference of each axle is applied to the circumference of the next wheel, and in which the ratios of the radii of the wheels and axles are those of 2 : 1, 4 : I, 8 : 1, &c.

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