Elements of Mechanics: For the Use of Colleges, Academies, and High SchoolsA.S. Barnes & Burr, 1859 - 338 pages |
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Page 168
... pendulum is equal to the number 3.1416 , multiplied into the square root of the quotient obtained by dividing the length of the pen- dulum by the force of gravity . For a pendulum , whose length is l ' , we shall have , ť ' == ( 96 ...
... pendulum is equal to the number 3.1416 , multiplied into the square root of the quotient obtained by dividing the length of the pen- dulum by the force of gravity . For a pendulum , whose length is l ' , we shall have , ť ' == ( 96 ...
Page 169
... Pendulum . 124. A COMPOUND PENDULUM is a heavy body free to oscillate about a horizontal axis . This axis is called the axis of suspension . The straight line drawn from the centre of gravity of the pendulum perpendicular to the axis of ...
... Pendulum . 124. A COMPOUND PENDULUM is a heavy body free to oscillate about a horizontal axis . This axis is called the axis of suspension . The straight line drawn from the centre of gravity of the pendulum perpendicular to the axis of ...
Page 170
... pendulum concentrated at this point it would vibrate in the same time as the given pendulum . This point is called the centre of oscillation . Hence , the centre of oscil- lation of a pendulum is that point of its axis , at which , if ...
... pendulum concentrated at this point it would vibrate in the same time as the given pendulum . This point is called the centre of oscillation . Hence , the centre of oscil- lation of a pendulum is that point of its axis , at which , if ...
Page 173
... pendulum has been em- ployed to determine experimentally the length of the seconds pendulum , and the value of the force of gravity at different places on the surface of the earth . A straight bar of iron CD , is provided with two knife ...
... pendulum has been em- ployed to determine experimentally the length of the seconds pendulum , and the value of the force of gravity at different places on the surface of the earth . A straight bar of iron CD , is provided with two knife ...
Page 174
... pendulum thus adjusted to find the length of a simple seconds pendulum at any place , the pendulum is carefully suspended , and allowed to vibrate through a very small angle ; the number of vibrations is counted , and the time occupied ...
... pendulum thus adjusted to find the length of a simple seconds pendulum at any place , the pendulum is carefully suspended , and allowed to vibrate through a very small angle ; the number of vibrations is counted , and the time occupied ...
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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...