Derive the equation of motion for the following system, using (the rotation of the beam about...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Derive the equation of motion for the following system, using (the rotation of the beam about the hinge) as the degree-of-freedom. Not that there is an applied force (Fo sin wt) as well as an applied moment (Mo sin wt). The total bar mass is m. Treat the bar as two bars: one to the left of the hinge point; one to the right. The one to the left has a mass moment of inertia ofmL; the one to the 192 Fo sin cor - 4/4 fimo 192 right has a mass moment of inertia of mL. Then transform this differential equation ot the Laplace domain, assuming zero initial conditions. Lastly, compute the damping ratio and damped natural frequency for this system. Mo sin or Derive the equations of motion for the following system using Lagrange's method. Write these equations of motion in matrix form. k m t sinut m, C = x31x m + Derive the equation of motion for the following system, using (the rotation of the beam about the hinge) as the degree-of-freedom. Not that there is an applied force (Fo sin wt) as well as an applied moment (Mo sin wt). The total bar mass is m. Treat the bar as two bars: one to the left of the hinge point; one to the right. The one to the left has a mass moment of inertia ofmL; the one to the 192 Fo sin cor - 4/4 fimo 192 right has a mass moment of inertia of mL. Then transform this differential equation ot the Laplace domain, assuming zero initial conditions. Lastly, compute the damping ratio and damped natural frequency for this system. Mo sin or Derive the equations of motion for the following system using Lagrange's method. Write these equations of motion in matrix form. k m t sinut m, C = x31x m +
Expert Answer:
Related Book For
Posted Date:
Students also viewed these mechanical engineering questions
-
The Smiths are insured under an unendorsed Homeowners 3 policy. The home has a current replacement cost of $500,000. The policy contains the following limits and retentions: Coverage A: $350,000...
-
What is meant by Cumulative Record Card?
-
On January 15, Tundra Co. sold merchandise to customers for cash of $42,000 (cost $28,500). Merchandise costing $10,500 was sold to customers for $15,800 on January 17; terms 2/10, n/30. Sales...
-
Given the suggested retail price of the company and using a 50% markup on price at retail, determine the sell price to the distributor/merchandiser. Review the company's overall gross margin. If the...
-
At an average temperature of 2000 K, the slope of the graph of log K against 1/T for the dissociation of water vapor (into hydrogen and oxygen) is found to be - 13000. (a) Determine the heat of...
-
Should the Software Element be separate from the Equipment Element?
-
The following are specific transaction-related audit objectives applied to the audit of cash disbursement transactions (a through f), management assertions about classes of transactions (1 through...
-
An instructor is performing Young's double-slit experiment for his students. He directs a beam of laser light to a pair of parallel slits, which are separated by 0.102mmfrom each other. The portion...
-
Frank Thompson operates a small business that manufactures oversized backyard games. He runs the business as a sole proprietorship. The company uses a job order cost system using a first-in,...
-
Explain the distinctions between the following and give an example of both: Domestic and international law Substantive and procedural law Public and civil law Tort law and Employment Law Estate law...
-
The market price for the Fidesco Groups common stock is \($64\) per share. The price at the end of year 1 is expected to be \($75,\) and dividends for next year should be \($3.98.\) What is the...
-
How does a bonds intrinsic value differ from its market value? Under what circumstance might they be equal?
-
Danang Rubber Co.s bonds are selling in the market for \($1,060.\) These 13-year bonds pay 9 percent interest annually on a \($1,000\) par value. If they are purchased at the market price, what is...
-
Calculate the value of a Samurai bond that will mature in 16 years and has a 100,000 face value. The annual coupon interest rate is 4 percent, and the investors required rate of return is 6 percent.
-
Peter de Vert owns a 25-year, \($1,000\) par value bond paying 6 percent interest annually. The market price of the bond is \($880,\) and his required rate of return is 8.7 percent. a. Compute the...
-
1. Company XYZ shares are currently priced in June at 250c a share. You believe that they are currently overvalued and are worth only 150c a share. September put options on a strike price of 230c a...
-
CdF2 (s) Cd+ (aq) + 2 F- (aq) 1. A saturated solution of CdF2 is prepared. The equilibrium in the solution is represented above. In the solution [Cd+] eq = 0.0585 M and [F-] eq = 0.117 M. a....
-
Consider the control system of Problem 71. Use MATLAB to evaluate the following performance measures: energy consumption, maximum current, maximum speed error, rms current, and rms speed error. In...
-
A certain tank contains water whose mass density is 1.94 slug/ft3. The tank's circular bottom area is A = 100 ft2. It is drained by an orifice in the bottom. The effective cross-sectional area of the...
-
Find and interpret the mode ratios for the system shown in Figure P13.27. ko 2 2 45 rit 45
-
A university is deciding between two meal plans. One plan charges a fixed fee of \($600\) per semester and allows students to eat as much as they want. The other plan charges a fee based on the...
-
Evaluate this statement: You are a natural athlete, an attractive person who learns easily and communicates well. Clearly, you can do everything better than your friends and acquaintances. As a...
-
You have waited 30 minutes in a line for the Star Tours ride at Disneyland. You see a sign that says, From this point on, your wait is 45 minutes. You must decide whether to remain in the line or to...
Study smarter with the SolutionInn App