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 206
descend and de-scribe the arc MM. Resolving theforce of gravity g in the directionsMB and MT, parallel and perpen-dicular to the radius CM, the com-ponent g cos. 6, in the direction of CM,will be counteracted by the fixed point C. The component gsin. 0, in the direction of the tangent MT, will be… … CONSTRAINED MOTION. 183 Now if x be any arc of a circle, it is shown in trigonometrythat Hence /^(rii/+l.U4.5.r) &C* But when the arc s is small compared with I, the cube and higher powers of j may be neglected, and /=f» (85) or the force varies as the distance from the lowest pointmeasured on…
Mechanics, Analytic
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