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Please Help! Figure 3-41 U-shaped manometer system. total length of liquid in th

ID: 1858717 • Letter: P

Question

Please Help!

Figure 3-41 U-shaped manometer system. total length of liquid in the tube is L, and the viscosity of the liquid is negligible, what is the equation of motion of the liquid? Find the frequency of oscillation. In the mechanical system shown in Figure 3-42, assume that the rod is massless, perfectly rigid, and pivoted at point P. The displacement x is measured from the equilibrium position. Assuming that x is small, that the weight mg at the end of the rod is 5 N, and that the spring constant k is 400 N/m, find the natural frequency of the system. Figure 3-42 Mechanical system. Obtain a mathematical model of the system shown in Figure 3-43. The input to the sys-

Explanation / Answer

net torque on system= kxa/2 - mg*2a=I*angular velocity ;

kax/2-mg*2a = m*2a*acc ;

natural frequency = (K/4m)^0.5 = 14.00