Question: For the spring mass system shown in Figure 2 , derive the equation of motion in matrix form. Find the natural frequencies and plot the

For the spring mass system shown in Figure 2, derive the equation of motion in matrix form. Find the natural frequencies and plot the mode shapes. Assume k=2000Nm and m=10kg.
For the spring mass system shown in Figure 2 ,

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mechanical Engineering Questions!

Q:

For the spring mass system shown in Figure a . Derive equation of motion in matrix form b . Find the natural frequencies and plot the mode shapes. Assume k = 6 0 0 N m and m = 5 k g .

Q:

Problem 3 Consider the vehicle modeled as a two - degree - of - freedom system that allows for bounce x ( t ) and pitch motion ( t ) as shown below figure. ( a ) Derive the equation of motion. ( b )...

Q:

Problem 2 0 Consider the slender, rigid, uniform beam of mass m and length L which is supported at each end by a linear spring, as shown at the right. The equations of motion are given by 1 6 [ 2 1 1...

Q:

For large displacements, and assuming rolling without slip, using LaGrange's principal, a) Find Velocity of the block and roller. Please use degrees of freedom shown in the picture. b) Find kinetic...

Q:

For the two identical rocker mechanisms shown in Figure ( 2 ) , Determine: The equation of motion in a matrix form in terms 1 of and 2 . ( 4 Marks ) The natural frequencies of the system ( 4 Marks )...

Q:

The multi-degree-of-freedom system shown in Figure 4 (on next page) consists of uniform link 1 of length L and mass M, uniform link 2 of length L and mass M, and a mass m connected to the two links...

Q:

Problem 1 1 Consider the single - story shear building model shown at the right implemented with a Tuned Mass Damper ( TMD ) on top. Here, u i ( t ) is the displacement of mass m i relative to the...

Q:

If Problem 36 is modified to include damping between the two masses as shown in Figure 6.77, solve for the case with no forcing using (a) modal analysis, and (b) the direct method. Problem 36: For...

Q:

In Problem 36, the system is forced with \(F_{1}(t)=\) \(A_{1} \cos \Omega_{1} t\) and \(F_{2}(t)=A_{2} \sin \Omega_{2} t\) acting on mass \(m_{1}\) and \(m_{2}\), respectively. Using modal analysis,...

Q:

The following system is composed by two identical masses (m, = m2 = 50 kg), the first constrained to move horizontally (motion x1) and the second vertically (motion y2) a disc of mass maisc = 50 kg,...

Q:

What is the role of materials requisition forms in a job-order costing system? Time tickets? Predetermined overhead rates?

Q:

I am going to work for a hospital, which is a not-for-profit organization. Because there are no profits, I will not be able to apply any CVP analysis in my work. Do you agree with this statement? Why...

Q:

When a company pays $ 1 , 7 0 0 dividends to its stock Multiple Choice Debit Cash; credit Dividends Debit Retained Earnings; credit Dividends Debit Dividends; credit Accounts Payable Debit Dividends;...

Q:

Business transactions completed by Hannah Venedict during themonth of September are as follows.Venedict invested $60,000 cash along with officeequipment valued at $25,000 in a new business named H 2...