All rights reserved vector mechanics for engineers

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© 2013 The McGraw-Hill Companies, Inc. All rights reserved. Vector Mechanics for Engineers: DynamicsVector Mechanics for Engineers: DynamicsTenthEditionGroup Problem Solving2 - 50vDWhat direction is the velocity of B?vBWhat direction is the velocity of D?AB= 4 rad/s()(0.25 m)(4 rad/s)1m/sBABABvWhat is the velocity of B?10.06 mtan21.80.15 mFind
© 2013 The McGraw-Hill Companies, Inc. All rights reserved. Vector Mechanics for Engineers: DynamicsVector Mechanics for Engineers: DynamicsTenthEditionGroup Problem Solving2 - 51vDvBBDLocate instantaneous center Cat intersection of lines drawn perpendicular to vBand vD.C0.1m0.1m0.25 mtantan 21.8°0.25 m0.25 m0.2693 mcoscos21.8°BCDC100 mm1m/s(0.25 m)BD4 rad/sBDFind DE0.25 m()(4 rad/s)cosDBDvDC1m/s0.15 m();;coscosDDEDEvDE6.67 rad/sDEFind distances BC and DC()BBDvBCCalculate BD
© 2013 The McGraw-Hill Companies, Inc. All rights reserved. Vector Mechanics for Engineers: DynamicsVector Mechanics for Engineers: DynamicsTenthEditionAbsolute and Relative Acceleration in Plane Motion2 - 52As the bicycle accelerates, a point on the top of the wheel will have acceleration due to the acceleration from the axle (the overall linear acceleration of the bike), the tangential acceleration of the wheel from the angular acceleration, and the normal acceleration due to the angular velocity.
© 2013 The McGraw-Hill Companies, Inc. All rights reserved. Vector Mechanics for Engineers: DynamicsVector Mechanics for Engineers: DynamicsTenthEditionAbsolute and Relative Acceleration in Plane Motion15 - 53Absolute acceleration of a particle of the slab,ABABaaaRelative acceleration associated with rotation about Aincludes tangential and normal components,ABaABnABABtABrarka22raranABtAB
© 2013 The McGraw-Hill Companies, Inc. All rights reserved. Vector Mechanics for Engineers: DynamicsVector Mechanics for Engineers: DynamicsTenthEditionAbsolute and Relative Acceleration in Plane Motion15 - 54Givendetermine ,andAAva.andBatABnABAABABaaaaaaVector result depends on sense of and the relative magnitudes of nABAaaandAaMust also know angular velocity .
© 2013 The McGraw-Hill Companies, Inc. All rights reserved. Vector Mechanics for Engineers: DynamicsVector Mechanics for Engineers: DynamicsTenthEditionAbsolute and Relative Acceleration in Plane Motion15 - 55xcomponents:cossin02llaAycomponents:sincos2llaBSolve for aBand .Writein terms of the two component equations,ABABaaa
© 2013 The McGraw-Hill Companies, Inc. All rights reserved. Vector Mechanics for Engineers: DynamicsVector Mechanics for Engineers: DynamicsTenthEditionAnalysis of Plane Motion in Terms of a Parameter15 - 56In some cases, it is advantageous to determine the absolute velocity and acceleration of a mechanism directly.sinlxAcoslyBcoscosllxvAAsinsinllyvBBcossincossin22llllxaAAsincossincos22llllyaBB
© 2013 The McGraw-Hill Companies, Inc. All rights reserved. Vector Mechanics for Engineers: DynamicsVector Mechanics for Engineers: Dynamics

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