Q2. Derive the equation of motion and find the natural frequency of the single DOF system given in Figure 2 where a slender bar of mass m is connected to two mass blocks m and 2m. The rotatory inertia of the bar is I=m²/12. A m C L 22 L 22 2m ww Slender bar of mass m connected to blocks through rigid links at A and B B C

Q2. Derive the equation of motion and find the natural frequency of the single DOF system given in Figure 2 where a slender bar of mass m is connected to two mass blocks m and 2m. The rotatory inertia of the bar is I=m²/12. A m C L 22 L 22 2m ww Slender bar of mass m connected to blocks through rigid links at A and B B C

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter5: Three-dimensional Equilibrium

Section: Chapter Questions

Problem 5.15P: In Sample Problem 5.5, determine Oy with one scalar equilibrium equation.

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Q3: Draw the free-body diagram and derive the equation of motion (EOM) using: (1) Newton's 2nd law (2) Energy method for the systems. (3) Find the natural frequency. m 4r 1447 x(t) k 00000 -Pulley, mass moment of inertia Jo
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Figure shows a mechanical system. The connecting link has moment of inertia J about its pivot point, and rotation angle is positive clockwise. Position of mass m is positive to the right. Both the angular and translational displacements are measured from the equilibrium position where all springs are undeflected. Derive the mathematical model of this system assuming small rotation angle 8. Link, moment. of inertia J L k₁ www m O k₂ www
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