Moment of Inertia and Translational Motion

Problems deal with moment of inertia and translational motion. See attachment for diagrams. 1. Calculate the mass moment of inertia about the x axis. The total mass of the object is 13 kg. a. 281 kg-cm2 b. 210 kg-cm2 c. 156 kg-cm2 d. 233 kg-cm2 e. 176 kg-cm2 ________________________________________ 2. The plate with two holes is made of steel with a density of 7800 kg-m3. The radius of each hole is 5 cm. Determine its mass moment of inertia about the z-axis. a. 0.723 kg-m2 b. 0.854 kg-m2 c. 0.638 kg-m2 d. 0.902 kg-m2 e. 1.040 kg-m2 ________________________________________ 3. Determine the mass moment of inertia about the y axis. The ... click for more

Mechanical Vibration Analysis

How do you find the equation of motion for an idealized model? For this model how do you find the periodic time (time in sec) and the natural frequency (rad/sec)? Please see attached for diagram.

Mechnical Vibration Analysis

I have a mass-spring-damper system that is tested to determine the value of the viscous damping cefficient c. Assume k=10lb/ft and m=2 slug. The vibrational amplitude is observed to decrease to 33% of its initial value after two consecutive cycles. How do I deduce the value of the logarithmic decrement? How do I deduce the value of the viscous damping factor? How do I deduce the value of the viscous damping coefficient c?

Mechanical Vibration Analysis

In this idealized model, m=1 slug, k=9lb/ft, and the viscous damping factor is 0.15. How do I find the range of frequency ratios for which the magnification will be greater than 1? How do I find the forced response for A=1, and forcing frequency of 4rad/sec?

Mechanical Vibration Analysis

For this two degree fo freedom model, how do I find the matrix equation of motion? How do I find the value of the modal ratios if m1=m2=m, k1=k and k2=3k? If a force of 25sin3t is applied to m2, how do I find the value of the response if m1=m2=1 slug, k1=10lb/ft and k2=30lb/ft?