Find the natural frequencies of vibration of the system

Assignment Help Mechanical Engineering
Reference no: EM131163955

A two-mass system consists of a piston of mass m1 connected by two elastic springs, that moves inside a tube as shown in Fig. 5.23. A pendulum of length l and end mass is connected to the piston as shown in Fig. 5.23.

(a) Derive the equations of motion of the system in terms of x1(t) and θ(t)

(b) Derive the equations of motion of the system in terms of the x1(t)and x2(t).

(c) Find the natural frequencies of vibration of the system.

939_0fb5eb1f-dc5c-4433-9e9c-a91ed2281fa2.png

Reference no: EM131163955

Questions Cloud

Microsoft office sharepoint server : Differentiate between Microsoft Office SharePoint Server 2007 for Internet sites and Microsoft Office SharePoint Server 2007.
Drug patent gives pharmaceutical firm monopoly : A drug patent gives a pharmaceutical firm a monopoly. Draw and label the supply and demand curves for a drug. Then demonstrate how having a monopoly changes that equilibrium. How does this impact consumer surplus? What actions can the government take..
Determining the programming logic and design : Could someone answer to this discussion board, please? The book provided is Programming Logic and Design.
Methods of recruiting do you think would be most effective : As a potential recruit who will probably be looking for a job upon completion of school, what general approach and method or methods of recruiting do you think would be most effective in attracting you?
Find the natural frequencies of vibration of the system : A two-mass system consists of a piston of mass m1 connected by two elastic springs, that moves inside a tube as shown in Fig. 5.23. A pendulum of length l and end mass is connected to the piston as shown in Fig. 5.23.
Capital owners are better off under free trade home country : Assume that land is specific to timber, capital is specific to televisions, and labor is free to move between the two industries. When the Home country moves into doing free trade with the Foreign country, the price of TV rises in Home and the price ..
Postal code on the next line : Supply a print function that prints the address with the street on one line and the city, state, and postal code on the next line. Supply a method compareTo that tests whether one address comes before another when the addresses are compared by pos..
Calculate the class average : Write a C++ program segment that reads 40 exam scores of a class and calculate the class average, then print the class average using a loop. you need to declare a the variables properly.
Describe the effectiveness of each of the styles : Select two (2) of Diana Baumrind's parenting styles, as discussed in the text. Compare and contrast two (2) similarities and two (2) differences of the styles you chose. Next, describe the effectiveness of each of the styles.

Reviews

Write a Review

 

Mechanical Engineering Questions & Answers

  Turbulent ?ow from the leading edge

Water at 20-C ?ows over a 3-m long and 2-m wide ?at plate at 3 m=s. Assume a turbulent ?ow from the leading edge (a trip wire at the leading edge can be used to cause the turbulence) and calculate:

  If initial and final pressures and volumes are the same as

a gas initially at pinitial 1 bar and occupying a volume vinitial of 1 liter is compressed within apiston-cylinder

  If mechanical friction and wind resistance are neglected

an automobile having a mass of 2 mg travels up a 7 degree slope at a constant speed of v100 kmh. if mechanical friction

  If the x component of acceleration is ax t24 ms2 where t

a rocket is fired from rest at x 0 and travels along a parabolic trajectory described by y2 120103x m. if the x

  Wireless accelerometer is mounted to the underside of piston

A wireless accelerometer is mounted to the underside of a piston in an engine to measure the acceleration during operation. If the engine is operating at 7200 RPM, what should be the minimum natural frequency of the accelerometer in order for the err..

  If the two sides of the plate are maintained at 100 degc

heat is generated uniformly in a steel plate k 20 wm-k 1 cm thick at the rate of 500 mwm3. if the two sides of the

  Estimate the anticipated total annual production volume

Research/estimate the anticipated total annual production volume (rate) of each product variant to be produced and determine the production capacity of the proposed system for single product variant. Discuss the simulation results (individualactiv..

  As soon as the pressure in the bottle reached 100kpa the

consider an 8-l evacuated rigid bottle that is surrounded by the atmosphere at 100kpa and 17 degrees c. a valve at the

  Describe the four incorrect assumptions concerning robot

Describe the four incorrect assumptions concerning robot - arm movement that are most frequently responsible for impact accidents.

  Determining the cotton-farmers organization

An entrepreneur has discovered a way  to seed thunderclouds so as to prevent them from producing hail. The entrepreneur wishes to sell its invention to the government or to a cotton-farmers organization.

  An electric-powered water pump must fill up a 50000 gallon

an electric-powered water pump must fill up a 50000 gallon elevated water tank in which the water averages 60 feet

  Determine exergy destroyed and minimum work input process

A well-insulated rigid tank contains 1 kg of air at 30°C. A paddle wheel rotates inside the tank and increases the temperature of the air to 60°C. If the environment is at 100 kPa and 25°C, determine the exergy destroyed and the minimum work input fo..

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd