Calculate the natural frequency of the lever system of Figure 2.17(a) by transferring the lumped-parameter stiffness and inertia from their locations to the free end point of the rigid lever, as shown...

Calculate the natural frequency of the lever system of Figure 2.17(a) by transferring the lumped-parameter stiffness and inertia from their locations to the free end point of the rigid lever, as shown in Figure 2.17(b), by assuming that

a. The lever is massless.

b. The lever has a mass ml = mB/4. Plot the rotation angle i of the rod in terms of time for i(0) = 4° at t(0) = t 0 = 0.1 s.

Known are lA = 0.5 m, lB = 1 m, lC = 1.5 m, kA = 1000 N/m, and mB = 1 kg. Assume small lever rotations.