The addition of damping to an undamped spring-mass system causes its period to increase by 50 percent. Determine the sampling ration 5. Insert your answer for ( correct up to at least a third decimal place.

Gears A and B mesh with a gear ratio n. they are fixed to circular shafts of equal length and equal diameter. The shafts are built-in at either end. Determine the natural frequency of the system. B

Can you please show the complete solution of the image below. Thanks! Subject: Mechanical Vibration

Suppose we have determined that the lowest natural frequency of a particular helical compression spring is 20286 rpm. According to the prescription in our book and according to the presentation in class, find the highest recommended operating frequency of a machine that utilizes this spring. Give your answer in rpm, but do not include units--Blackboard will not understand

3. A vibrating mass-spring system exhibits an acceleration amplitude of 27 mm/s² and a dis- placement amplitude of 2 mm. Compute the system's natural frequency.

QUESTION 2. A smooth rod with a length of 21 is bent as in Figure 2 and small oscillations are made around the frictionless pin in B. If the period of minor oscillations is denoted by To when B = 0, find the beta angle where the period of minor oscillations is 2To. hand written plz B 7 Figure 2.

Given an oscillator of mass 2.0kg and spring constant of 180N/m, what is the period without damping?  Use numerical methods to model this oscillator with an additional friction force equal to where c is a positive damping constant.  Using c=5.0, what is the new period of oscillation.  What about for c=10? Assume initial position is 0.2m and initial velocity is zero. Please find the period using the position versus time plot and use the first full cycle of the motion.

Number four, keep four decimal places Number four, keep four decimal places Number four, keep four decimal places

Present the equations of motion of the attached two-degree-of-freedom system in the main coordinate system. Determine a value for α such that the equations of motion can be solved in the principal coordinate system. If it is assumed that the type of damping is Rayleigh damping (10% proportional to mass and the rest proportional to stiffness), then determine the relative damping coefficient and damping constants for the structure.

4- The logarithmic decrement can be obtained as & In*, is it possible to get a negative value of 8 when the system is damped (3 < 1)? Why?