An Introduction to Dynamics: Including Kinematics, Kinetics, and Statics : with Numerous Examples |
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Page 225
... coefficient of restitution . The momenta have thus become mu + ( 1 + e ) R and m'u ' - ( 1 + e ) R , that is and mu + ( 1 + e ) m ' u ' or m and m ' - ( I + e ) mm ' ( u ' - m + m m m ' ( u ' -- m + m ' u ) ( m - em ) u + ( te ) m ư m + ...
... coefficient of restitution . The momenta have thus become mu + ( 1 + e ) R and m'u ' - ( 1 + e ) R , that is and mu + ( 1 + e ) m ' u ' or m and m ' - ( I + e ) mm ' ( u ' - m + m m m ' ( u ' -- m + m ' u ) ( m - em ) u + ( te ) m ư m + ...
Page 226
... coefficient of restitution , and it shows at once that when the bodies are ' perfectly elastic ' the relative velocity is exactly reversed by the impact , and that when the bodies are inelastic no relative velocity will remain ...
... coefficient of restitution , and it shows at once that when the bodies are ' perfectly elastic ' the relative velocity is exactly reversed by the impact , and that when the bodies are inelastic no relative velocity will remain ...
Page 232
... coefficient of restitution . Find ( 12 ) A sphere A collides with another sphere B at rest ; show that the velocity of B after impact can never be so great as twice the velocity of A before impact , and that this limiting value is most ...
... coefficient of restitution . Find ( 12 ) A sphere A collides with another sphere B at rest ; show that the velocity of B after impact can never be so great as twice the velocity of A before impact , and that this limiting value is most ...
Page 244
... coefficient of restitution . Thus the internal kinetic energy of the system is changed in the ratio of e2 1 , and since e is never greater than unity , there is always a diminution of kinetic energy , except in the case when e is equal ...
... coefficient of restitution . Thus the internal kinetic energy of the system is changed in the ratio of e2 1 , and since e is never greater than unity , there is always a diminution of kinetic energy , except in the case when e is equal ...
Page 251
... coefficient of friction being ; how much work must be expended to move the ... coefficient of friction . ( 3 ) Two masses , of 8 and 15 grams respectively ... restitution for lead spheres is , and to raise the temperature of one gram ...
... coefficient of friction being ; how much work must be expended to move the ... coefficient of friction . ( 3 ) Two masses , of 8 and 15 grams respectively ... restitution for lead spheres is , and to raise the temperature of one gram ...
Other editions - View all
An Introduction to Dynamics: Including Kinematics, Kinetics, and Statics ... Charles Vandeleur Burton No preview available - 2018 |
An Introduction to Dynamics: Including Kinematics, Kinetics, and Statics ... Charles VanDeleur Burton No preview available - 2015 |
Common terms and phrases
angular bead beam centimetres per second centre of gravity change of momentum coefficient coefficient of restitution component couple diagram direction and magnitude displacement downward dynes equal and opposite equation equilibrium feet per second fixed axis force acting friction grams hence inches inclined plane initial velocity interval kilograms kilometres per hour kinetic energy lever line of action m₁ mass-centre measured mechanical advantage metres per second miles an hour miles per hour minute motion moving negative opposite direction P₁ parallel forces parallelogram particle path perpendicular position poundals pounds produce pull pulley quantity radius relative represented rest resultant force right angles rigid body rotation scale-pans second per second sliding space described sphere stone straight line string suppose surface tion train triangle uniform acceleration uniform velocity uniformly unit of length velocity added vertically upwards weight wire zero
Popular passages
Page 81 - 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 106 - 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 278 - If two forces acting at a point are represented in magnitude and direction by two sides of a triangle...
Page 117 - Prove that the algebraic sum of the moments of two concurrent forces about any point in their plane is equal to the moment of their resultant about the same point.
Page 278 - If a particle moves in consequence of the continued action upon it of a constant force, show what is the character of the resulting motion, and in what manner it depends on the magnitude of the force and the mass of the particle.
Page 277 - any cause which tends to change a body's state of rest or of uniform motion in a straight line.
Page 273 - A boat is rowed on a river so that its speed in still water would be 6 miles per hour. If the river flow at the rate of 4 miles per hour, draw a figure to shew the direction in which the head of the boat must point so that the motion of the boat may be at right angles to the current.
Page 243 - The total energy of any body or system of bodies is a quantity which can neither be increased nor diminished by any mutual action of such bodies, though it may be transformed into any one of the forms of which energy is susceptible.
Page 283 - ... find the pressure on the lift in each case. 15. A weight of 20 ozs. is moved on a smooth horizontal table by a weight of 4 ozs. connected with it by a, string which passes over a pulley at the edge of the table and hangs vertically downwards. After 3 sees, the weight reaches the edge of the table, and the string breaks. At what distance from the top of the table will the weight of 20 ozs. strike the ground supposing it to reach the ground in 1 sec. ? 16. If a force of 6 Ibs. gives to a certain...