Solutions of the Problems and Riders Proposed in the Senate-house Examination for 1854This Elibron Classics title is a reprint of the original edition published by Macmillan and Co. in Cambridge, 1854. |
From inside the book
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Page 8
... force of gravity is equivalent to g cosa and g sina , perpendicular and parallel to the plane . Consider the motion perpendicular to the plane . The time of flight = twice the time in which the velocity V sinẞ can be generated by the force ...
... force of gravity is equivalent to g cosa and g sina , perpendicular and parallel to the plane . Consider the motion perpendicular to the plane . The time of flight = twice the time in which the velocity V sinẞ can be generated by the force ...
Page 9
... force g sina = 2 V cos B g sina Therefore , equating these expressions , therefore V cos B V sinẞ 2 = 2 ( 1 + e ) , g sin a g cosa cot a cotß = 1 + e . [ The student may gain instruction by endeavouring to draw a correct figure . ] 12 ...
... force g sina = 2 V cos B g sina Therefore , equating these expressions , therefore V cos B V sinẞ 2 = 2 ( 1 + e ) , g sin a g cosa cot a cotß = 1 + e . [ The student may gain instruction by endeavouring to draw a correct figure . ] 12 ...
Page 10
... force , R ' the force of com- pression , [ it is convenient to measure them as accelerating forces , the balls being equal ] : then the velocity of A at the time of greatest compression is V – 2R ' cos 30 ° = V — R'√3 ; therefore the ...
... force , R ' the force of com- pression , [ it is convenient to measure them as accelerating forces , the balls being equal ] : then the velocity of A at the time of greatest compression is V – 2R ' cos 30 ° = V — R'√3 ; therefore the ...
Page 11
... force between A and B , R ' the force of compression ; then , as before , the normal velocity of A at the time of greatest com- pression = √3 . V – R ' . 2 Also the normal velocity of B before impact = V cos 30 ° = √3 V , 2 therefore ...
... force between A and B , R ' the force of compression ; then , as before , the normal velocity of A at the time of greatest com- pression = √3 . V – R ' . 2 Also the normal velocity of B before impact = V cos 30 ° = √3 V , 2 therefore ...
Page 31
... force , being in arith- metical progression , the times of arriving at these points , reckoned from a given epoch , form another arithmetical pro- gression . Find the equation to the path . By the condition of the problem , it is plain ...
... force , being in arith- metical progression , the times of arriving at these points , reckoned from a given epoch , form another arithmetical pro- gression . Find the equation to the path . By the condition of the problem , it is plain ...
Other editions - View all
Solutions of the Problems and Riders Proposed in the Senate-House ... William Walton,Charles Frederick MacKenzie No preview available - 2016 |
Solutions of the Problems Riders Proposed in the Senate-House Examination ... C. F. Mackenzie No preview available - 2018 |
Solutions of the Problems Riders Proposed in the Senate-House Examination ... C. F. Mackenzie No preview available - 2015 |
Common terms and phrases
angular velocity asymptotes axes Cambridge catenary centre of force centre of gravity chord circle circular cloth College conic section constant coordinates cos² cose cosẞ cota cotß Crown 8vo curvature curve cylinder denoting described diameter distance dx dy dy dx ecliptic ellipse equal equation equilibrium Fcap fixed point fluid geometrical progression given Hence horizontal hyperbola inclined intersection lamina latus rectum length locus longitude major axis middle point motion orbit parabola parallel particle passing perpendicular plane plate position pressure prove radius refraction right angles ring Second Edition shew sides Similarly sine sino sinẞ straight line string Supposing surface tana tangent tanß triangle Trinity College tube University of Cambridge vertical
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References to this book
Masters of Theory: Cambridge and the Rise of Mathematical Physics Andrew Warwick Limited preview - 2003 |
Masters of Theory: Cambridge and the Rise of Mathematical Physics Andrew Warwick No preview available - 2003 |