Derive the equations of motion for the system shown in Fig. 2, where dashpot c2 is...

Transcribed Image Text:

Derive the equations of motion for the system shown in Fig. 2, where dashpot c2 is in series with spring k2. Find the differential equations relating input y(t) to the output z(t). There is no friction between mass m and ground. y(t) kı ww C2 wwww k2 m C1 Figure 2. Mass-spring-damper system with spring and damper in series. Hint: Define a new mass (M, for instance) at the point between spring k₂ and dashpot c₂. Define variable x(t) to the left for this new mass. Treat the problem like a 2DOF system and derive the equations of motion. After the equations are obtained, simply put M=0 and reduce the number of equations to one. Derive the equations of motion for the system shown in Fig. 2, where dashpot c2 is in series with spring k2. Find the differential equations relating input y(t) to the output z(t). There is no friction between mass m and ground. y(t) kı ww C2 wwww k2 m C1 Figure 2. Mass-spring-damper system with spring and damper in series. Hint: Define a new mass (M, for instance) at the point between spring k₂ and dashpot c₂. Define variable x(t) to the left for this new mass. Treat the problem like a 2DOF system and derive the equations of motion. After the equations are obtained, simply put M=0 and reduce the number of equations to one.

Answer rating: 100% (QA)

free Body diagram mij M k y2 m m 77 kiz equation of mo... View the full answer