Elements of Mechanics: For the Use of Colleges, Academies, and High SchoolsA.S. Barnes & Burr, 1859 - 338 pages |
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Page vi
... Cylinders , and Polyhedrons . Centre of Gravity Experimentally . Centre of Gravity by means of the Calculus .. Centre of Gravity of an Arc of a Circle ... ... Of a Parabolic Area ... Of a Semi - Ellipsoid ... Pressure and Stability ...
... Cylinders , and Polyhedrons . Centre of Gravity Experimentally . Centre of Gravity by means of the Calculus .. Centre of Gravity of an Arc of a Circle ... ... Of a Parabolic Area ... Of a Semi - Ellipsoid ... Pressure and Stability ...
Page 69
... cone is on a line drawn from the vertex to the centre of gravity of the base , and at one - fourth of the distance from the base to the vertex . Centre of Gravity of Prisms and Cylinders . 60. Any CENTRE OF GRAVITY . 69.
... cone is on a line drawn from the vertex to the centre of gravity of the base , and at one - fourth of the distance from the base to the vertex . Centre of Gravity of Prisms and Cylinders . 60. Any CENTRE OF GRAVITY . 69.
Page 70
... Cylinders . 60. Any prism whatever may be regarded as made up of layers parallel to the bases . If a straight line be ... cylinder with parallel bases is at the middle point of its axis . Centre of Gravity of Polyhedrons . 61. If any ...
... Cylinders . 60. Any prism whatever may be regarded as made up of layers parallel to the bases . If a straight line be ... cylinder with parallel bases is at the middle point of its axis . Centre of Gravity of Polyhedrons . 61. If any ...
Page 120
... cylinder , and wrapped several times around it , after which it passes around the movable pulley C , and , returning , is wrapped in a contrary direction about the smaller cylinder , to which the second end of the rope is made fast ...
... cylinder , and wrapped several times around it , after which it passes around the movable pulley C , and , returning , is wrapped in a contrary direction about the smaller cylinder , to which the second end of the rope is made fast ...
Page 121
... cylinder by r , and that of the smaller cylinder by r ' . The resistance acts equally upon the two branches of the rope from which it is suspended , hence the tension of each branch may be represented by R. Suppose that the power acts ...
... cylinder by r , and that of the smaller cylinder by r ' . The resistance acts equally upon the two branches of the rope from which it is suspended , hence the tension of each branch may be represented by R. Suppose that the power acts ...
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Common terms and phrases
A. S. BARNES algebraic sum angular velocity atmosphere axes axle body called centre of gravity centrifugal force cistern components cord cubic cubic foot curve cylinder denote the angle distance elementary entire equal Equation equilibrium exerted feet fluid force applied force of gravity forces acting friction fulcrum Hence horizontal hydrometer inches inclined plane inertia instrument lever arm liquid machine mass mercury moment of inertia moments motion orifice parallel forces parallelogram parallelogram of forces particles passing Pcosa pendulum perpendicular pipe piston point of application polygon position power and resistance pressure principle principle of moments pulley pump quantity radius radius of gyration represent reservoir respect resultant right angles rope rotation Schools screw SOLUTION space specific gravity square steam Substituting suppose temperature tension tion triangle tube unit upper surface vertex vertical vessel vibration volume weight wheel whence
Popular passages
Page 182 - ... plus the product of the area and the square of the distance between the axes.
Page 223 - This electromotive force may be resolved into two components, one parallel and the other perpendicular to I, as shown, for example, in Fig.
Page 114 - The power is to the weight, as the radius of the pulley is to the chord of the arc enveloped by the rope.
Page 39 - Lami's Theorem. If three forces acting on a particle keep it in equilibrium, each is proportional to the sine of the angle between the other two.
Page 7 - BOURDON'S ALGEBRA 1 50 KEY TO DAVIES' BOURDON'S ALGEBRA 1 50 DAVIES' LEGENDRE'S GKOMETRY 1 50 DAVIES' ELEMENTS OF SURVEYING 1 50 DAVIES' ANALYTICAL GEOMETRY 1 25 DAVIES' DIFFERENTIAL AND INTEGRAL CALCULUS 1 25 DAVIES' DESCRIPTIVE GEOMETRY 2 00 DAVIES...
Page 42 - Hence, the moment of the resultant of two forces is equal to the algebraic sum of the moments of the forces taken separately. 53. Forces Acting at Different Points. Parallel Forces.— We have thus far considered forces acting upon a single particle, or upon one point of a body. If, how- Fia 33...
Page 180 - ... must be measured on a line at right angles to the direction of the force. Moment of Inertia. The moment of inertia of a body, with respect to an axis, is the sum of the products obtained by multiplying the mass of each elementary particle by the square of its distance from the axis; hence, the moment of inertia of the same body varies according to the position of the axis.
Page 5 - ... feet. Thus it appears, that it requires a force to lift the piston exactly equal to the weight of a column of water, whose base is equal to the section of the piston, and whose height...
Page 8 - JOHN A.* PORTER, AM. MD, Professor of Agricultural and Organic Chemistry in Yale College. Price $1.00. These works have been prepared expressly for Public and Union Schools, Academies, and Seminaries, where an extensive course of study on this subject and expensive apparatus was not desired, or could not be afforded. A fair, practical knowledge of Chemistry is exceedingly desirable, and almost a necessity, at tho present day, but it has been...