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A reciprocating engine of mass ml is mounted on a fixed-fixed beam of length width a. thickness t. and Young's modulus E. as shown in

A reciprocating engine of mass ml is mounted on a fixed-fixed beam of length width a. thickness t. and Young's modulus E. as shown in Fig. A spring-mass system (k 2 , m 2 ) is suspended from the beam as indicated in the figure. Find the relation between m2 and k2 that leads to no steady-stale vibration of the beam when a harmonic force, F1 (t)= F0 cos wt. is developed in the engine during its operation.

Fi(r) = Focos ear z +++ N(0) Tur --

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