# Download Applied Solid Dynamics by D. G. Gorman and W. Kennedy (Auth.) PDF

By D. G. Gorman and W. Kennedy (Auth.)

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43 rad/s and acts in the same sense as Ω3. e. 714 rad/s and acts in a sense opposite to that of Qa. 1 Automobile 'overdrive' unit A number of modern automobiles are fitted with an 'overdrive' unit. This consists of an auxiliary, single ratio gearbox which operates on the epicyclic principle. 13. 13 In such an arrangement, the sun wheel, D, is fixed and the input drive shaft and planetary cage, A, rotate the planetary gears, B, around the fixed sun wheel and the internally toothed annulus, C, which forms the output drive.

The acceleration of this small mass will be Q 2 r acting towards O along the line OP. 6b, where στ and σθ are the radial and hoop stresses respectively. 9b) where E is Young's modulus of elasticity, and v is Poisson's ratio. 11) where A and B are arbitrary constants of integration. For a solid disc, since στ (and σβ) -/► a as r ->■ 0, then B = 0. 3 A solid circular steel flywheel is required to have a polar mass moment of inertia of 50 kg m 2 and is to be designed for a maximum operation speed of 400 rad/s.

8c) we see that the absolute acceleration of the piston is 164 m/s2 -►. 11 ^ F r 44 Dynamics of a solid body in general plane motion force vector exerted on the piston by the link BD. e. 37 N and |F D |sinl4° = |R| = 736N Now consider the link AC with centre of mass G equidistant from A and C. 6 = 403 N m (clockwise) Once again, since link CE is assumed massless and has frictionless bearings at C and E, the forces at C and E must act along the line CE. 11. Note that, although link OA is assumed massless, since there is the likelihood of a finite torque acting at O, the equal and opposite forces acting at points O and A will not act along the centreline of OA.