Elementary Mechanics of Solids and Fluids |
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action angular acceleration angular velocity astronomical unit axis ball beam body called centimetres centre of mass centroid circle components compounded curve cylinder denoted density diameter displacement draw earth ellipse elongation equal and opposite external forces feet fixed foot-poundals force exerted forces acting friction gravity Hence horizontal plane initial velocity Kepler's Third Law kinetic energy knife edges length liquid m₁ Mechanical Advantage mercury moment of inertia momentum motion moving point orbit oscillation parallel particle of mass passing pendulum perpendicular piston poundals pressure proportional pulley radius radius of gyration ratio resistance resolving rest resultant right angles rotation satellites smooth sphere straight line strain stress string surface tangent triangle tube uniform velocity unit vertical vibration weight wire zero
Popular passages
Page 49 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.
Page 51 - Change of motion is proportional to the impressed force and takes place in the direction of the straight line in which the force acts.
Page 59 - If three forces, represented in magnitude and direction by the sides of a triangle, act on a point, they will keep it at rest.
Page 60 - If a number of forces acting at a point can be represented in magnitude and direction by the sides of a closed polygon taken...
Page 184 - ... 3. The squares of the periodic times of the various planets are proportional to the cubes of the major axes of their orbits.
Page 270 - Ex. A Nicholson's Hydrometer when loaded with 200 grains in the upper pan sinks to the marked point in water ; a stone is placed in the upper pan and the weight required to sink it to the same point is 80 grains; the stone is then placed in the lower pan and the weight required is 128 grains; find the tp.
Page 119 - TO THEIR CENTRE OF MASS The kinetic energy of a material system is equal to the kinetic energy of a mass equal to that of the system moving with the velocity of the centre of mass of the system, together with the kinetic energy due to the motion of the parts of the system , relative to its centre of mass.
Page 174 - ... with the vertical. It is lowered by means of two ropes passing under the barrel, one end of each rope being fixed, while two men pay out the other ends of the ropes. What pull in Ibs. must each man exert in order that the barrel may be supported at any point ? (S.
Page 83 - W done by this agent, while the body undergoes a displacement x, is defined as the product of the displacement and the component of the force in the direction of the displacement.
Page 245 - The specific gravity of a body is the ratio of its density to the density of a standard substance.