A Treatise on Elementary Dynamics1875 |
From inside the book
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Page 8
... denote by u , v respectively . Then AB , K AC denote the spaces passed over in the unit of time by points moving with ... denoted by P , and suppose P to move along a straight tube OK with uniform velocity u , while the end of the tube ...
... denote by u , v respectively . Then AB , K AC denote the spaces passed over in the unit of time by points moving with ... denoted by P , and suppose P to move along a straight tube OK with uniform velocity u , while the end of the tube ...
Page 12
... denoted by w , we have , since KH = OH2 + OK - 20H . OK cos KOH , w2 = u2 + v2 — 2uv cos HOK . - 16. The same result may be obtained in a different way . As before , let OH , OK represent the velocities of A and K H L B respectively ...
... denoted by w , we have , since KH = OH2 + OK - 20H . OK cos KOH , w2 = u2 + v2 — 2uv cos HOK . - 16. The same result may be obtained in a different way . As before , let OH , OK represent the velocities of A and K H L B respectively ...
Page 27
... denoted by g , and when we say that at any place g is equal to 32 , we mean that the velocity generated per second in a body fall- ing freely under the action of gravity at that place is a velocity of 32 feet per second . The value of g ...
... denoted by g , and when we say that at any place g is equal to 32 , we mean that the velocity generated per second in a body fall- ing freely under the action of gravity at that place is a velocity of 32 feet per second . The value of g ...
Page 30
... denoted by ƒ , we must have P equal to mf . Also , the particle moves in the direction in which Pacts with an acceleration f ; the resultant force on it must therefore be in the direction of P , and numerically equal to mf . The force ...
... denoted by ƒ , we must have P equal to mf . Also , the particle moves in the direction in which Pacts with an acceleration f ; the resultant force on it must therefore be in the direction of P , and numerically equal to mf . The force ...
Page 31
... denoted by g ? The pressure of the particle on the plane must by the third law of motion be equal and opposite to ... denoted by 32 , and a horizontal plane to move downwards with an acceleration denoted by 16 : then the pressure on the ...
... denoted by g ? The pressure of the particle on the plane must by the third law of motion be equal and opposite to ... denoted by 32 , and a horizontal plane to move downwards with an acceleration denoted by 16 : then the pressure on the ...
Other editions - View all
A Treatise: On Elementary Dynamics for the Use of Colleges and Schools William Garnett No preview available - 2015 |
Common terms and phrases
angle body centimetre centre chain change of momentum circle coefficient of elasticity coefficient of friction cos² cubic foot cycloid denoted density direction of motion directrix distance equal and opposite equation exerted falling freely Fcap feet per second Find the velocity foot force acting friction given gravity Hence horizontal plane impact inclined plane inelastic instant kinetic energy latus rectum law of motion number of units numerical measure numerically equal parabola particle is projected particle of mass perpendicular point of projection Post 8vo pound pounds weight preceding article pulley rest resultant force shew smooth space passed sphere straight line strikes string Suppose tension tion Trinity College uniform unit of acceleration unit of force unit of length unit of mass unit of momentum unit of velocity unit of volume V₁ varies inversely vertex vertical plane weight
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