An Introduction to Natural Philosophy: Designed as a Text-book for the Use of Students in CollegeCollins & brother, 1871 - 437 من الصفحات |
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acting angle angles of incidence attraction axis beam body called centre of gravity centrifugal force charge circuit coil colors column concave condensed convex cylinder depth diameter diminished direction discharge distance earth electricity electrified electroscope equal equilibrium feet fluid force friction given glass greater heat Hence horizontal hydrometer inches inclined inclined plane insulated intensity iron length lever Leyden jar light liquid magnet mercury metacenter metallic mirror motion move needle north pole opposite parallel particles passes perpendicular pipe piston plane plate pole position pressure prime conductor produce quantity ratio rays reflected refraction resultant revolve semitone side solid sound south pole specific gravity steam substances surface temperature tension tion triangle tricity tube valve varies velocity velocity of sound vertical vibrations waves weight wheel wire
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الصفحة 130 - Two equal circular disks with smooth edges, placed on their flat sides in the corner between two smooth vertical planes inclined at a given angle, touch each other in the line bisecting the angle. Find the radius of the least disk which may be pressed between them without causing them to separate. LXXIV. If two scales, one containing a weight P and the other a weight Q, be suspended by a string over a rough sphere, Q2...
الصفحة 180 - B. FIG. 183. CHAPTER III. THE ATMOSPHERE.— ITS QUANTITY, HEIGHT, AND MOTIONS. 284. Quantity of the Atmosphere. — Since the air sustains a column of mercury thirty inches high, the weight of the whole atmosphere is equal to that of a stratum of mercury thirty inches thick covering the globe. The thickness is relatively so small that the volume of the stratum may be reckoned as that of a parallelopiped, thirty inches in height, and having a base equal to the surface of the earth. Letting R = the...
الصفحة 129 - A flat semicircular board, with its plane vertical, and curved edge upward, rests on a smooth horizontal plane, and is pressed at two given points of its circumference by two heavy rods, which slide freely in vertical guides; find the ratio of the weights of the rods, that the board may be in equilibrium. 17. The radii of a wheel and axle are 12 inches and 3 inches; the power is 30 Ibs., the weight 100...
الصفحة 72 - There is an equilibrium upon the wheel and axle when the power is to the weight as the radius of the axle to the radius of the wheel.
الصفحة 100 - K is a function of the mass and distribution of the particles composing the body called the " moment of inertia " of the body with respect to the axis of rotation.
الصفحة 52 - C4ft., and the angle A is 90°; find the distance of the centre of gravity of A, B, and C, from C. Ans. 2 ft. 3. Three equal bodies are placed at the angles of any triangle whatever ; show that the common centre of gravity of those bodies coincides with the centre of gravity of the triangle. 4. Find the centre of gravity of five equal heavy particles placed at five of the angular points of a regular hexagon.
الصفحة 189 - ... which occur within the earth's atmosphere. On the other hand, when air has more than the natural density, it conveys sound with more intensity, and therefore to a greater distance. In a diving-bell sunk to a considerable depth a whisper is painfully loud. 302. Velocity of Sound in Air. — Sound occupies an appreciable time in passing through air. . This is a fact of common observation. The flash of a distant gun is seen before the report is heard. Thunder usually follows lightning after an interval...
الصفحة 19 - Thus, in uniform motion we have s = vt, in which v is constant. This may be regarded as the equation of a straight line passing through the origin, and making with the axis of abscissas an angle, whose tangent is v. Therefore, if any abscissa AC (Fig. 10) represents the number of units of time occupied in the motion, the corresponding ordinate CD will represent the space passed over.
الصفحة 44 - Find the centre of gravity of five equal heavy particles placed at five of the angular points of a regular hexagon. Ans. It is one-fifth of the distance from the centre to the third particle.
الصفحة 431 - The moment of inertia of an area with respect to any axis is equal to the moment of inertia with respect to a parallel axis through the...