A Treatise on Elementary Dynamics1875 |
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Page 34
... position . R is an elongated weight which may be placed on the top of the weight Q , but which is incapable of passing with it through the ring D. The bar SF may be graduated in feet and hundredths of a foot , or in accordance with any ...
... position . R is an elongated weight which may be placed on the top of the weight Q , but which is incapable of passing with it through the ring D. The bar SF may be graduated in feet and hundredths of a foot , or in accordance with any ...
Page 63
... positions . A shaft 10 feet in diameter has to be sunk to a depth of 130 fathoms , through chalk : how much work must be ex- pended in raising the materials if a cubic foot of chalk weigh 2315 ozs . ? 13. Shew that the work done in ...
... positions . A shaft 10 feet in diameter has to be sunk to a depth of 130 fathoms , through chalk : how much work must be ex- pended in raising the materials if a cubic foot of chalk weigh 2315 ozs . ? 13. Shew that the work done in ...
Page 110
... position of the particle at the end of any time t , PM vertical , then PM u sin a.t- = 1 2gt2 , and BM = ucosa . t , and thus the position of P is determined . u sin a If we make t equal to we see that the vertical " g component of the ...
... position of the particle at the end of any time t , PM vertical , then PM u sin a.t- = 1 2gt2 , and BM = ucosa . t , and thus the position of P is determined . u sin a If we make t equal to we see that the vertical " g component of the ...
Page 111
... positions of P. Hence the path is a parabola of which A is the vertex , AK the axis , and whose latus rectum is equal to 2u2 cos2a 9 ( A ) . Since when the particle is at A its motion is horizontal , after passing A it will begin to ...
... positions of P. Hence the path is a parabola of which A is the vertex , AK the axis , and whose latus rectum is equal to 2u2 cos2a 9 ( A ) . Since when the particle is at A its motion is horizontal , after passing A it will begin to ...
Page 113
... position . Now the distance TQ will be equal to the space passed over by the particle in the time t , on account of the vertical component of its velocity . But this component at the end of any time t is equal to gt , hence the space ...
... position . Now the distance TQ will be equal to the space passed over by the particle in the time t , on account of the vertical component of its velocity . But this component at the end of any time t is equal to gt , hence the space ...
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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