Question: The beam shown in Figure has been stiffened by the addition of a spring support. The steel beam is 3 ft long, 1 in thick,

The beam shown in Figure has been stiffened by the addition of a spring support. The steel beam is 3 ft long, 1 in thick, and 1 ft wide, and its mass is 3.8 slugs. The mass m is 40 slugs. Neglecting the mass of the beam,
a. Compute the spring constant k necessary to reduce the static deflection to one-half its original value before the spring k was added.
b. Compute the natural frequency con of the combined system.

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