From mechanics of materials it is known that for a cantilever beam of constant cross secti...

From mechanics of materials it is known that for a cantilever beam of constant cross section a static load P applied at end B will cause a deflection δβ = PL3/3EI.where L. is the length of the beam. E is the modulus of elasticity and I is the moment of inertia of the cross-sectional area of the beam. Knowing that L. = 10 ft, E = 29 × 106 lb in2, and I = 12.4 in4 . determine (a) the equivalent spring constant of the beam, (b) the frequency of vibration of a 520-lb block attached to end B of the same beam.