An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids (1849)
Smith, Augustus William, 1802-1866 · New York, Harper · leaf 189
. aH= 2 i : 1,,» v sin. a =£ sin.2 a. (68) 272. Prop. To find the co-ordinates of the point where a pro-jectile will strike an inclined plane passing through the pointof projection, the range on the inclined plane, and the time offlight. Let y—x tan. (3 be the equationof the line AC, which is the… … cos. (3 By substituting in (64) for x, its value y cot. (3, and reducingwe get for the ordinate of C, _4h. cos. a. sin. (3. sin. (a—f3)cos.2]3 1 y- To find AC=R, multiply (a) by sec. (3= cos. 0 (b) and we have A^ _f _ Ah. cos. a. sin. (a—0) , xAC=R,=a; sec. 0= ^ ^. (69) cos.2|3 v If the inclined…
Mechanics, Analytic
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