--%>
Assignment Help - homework help

Problem on motion of the system

(a) A plane moving at a constant velocity, V, crashes into a building as shown in figure below. Due to the design against plane crash of that building, neither major damage nor explosion occurs but the building vibrates after the crash. Assuming that the building can be modeled as a single degree of freedom system, derive the equation of motion of the system. Given that the plane and building become an entity after the crash, the mass of the plane is 10% of the mass of the building (m), the building has stiffness k and damping coefficient c. Determine the response of the building, u(t).

1640_plane.jpg

(b) You are given three options to modify the building as follows:

Option 1: Change m to 2m,
Option 2: Change c to 2c, and
Option 3: Change k to 2k.

Assess these three options and  find  the  option that will produce the minimum reaction of the building.

   Related Questions in Mechanical Engineering

  • Q : Rated Speed and Economic Speed Explain

    Explain difference between the Rated Speed and Economic Speed?

    		•
  • Q : Arena Are you able to assist with these

    Are you able to assist with these two assignments in Arena simulation below? You can use the Basic Process instead of Blocks and Elements. An office of state license bureau has two types of arrivals. Individuals interested in purchasing new plates are characterized to have inter-arrival times dis

    		•
  • Q : Petroleum technology theories for the

    theories for the origin of petroleum, methods for detection of petroleum deposits, fractional distillation

    		•
  • Q : Problem related to mass flow rate Water

    Water flows via a control volume as illustrated in the figure below. At Section (1) the diameter is 40 mm and the velocity profile is given by the V(r) = 10 (4 – r2) m/s, here r is the  distance from the centerline. At Section (2) the mass flow r

    		•
  • Q : Change of power in flow of kinetic

    Air at 20 m/s, 260 K, 75 kPa with 5 kg/s flows into a jet engine and it flows out at 500 m/s, 800 K, 75 kPa. What is the change (power) in flow of kinetic energy?

    		•
  • Q : Efficient design What is meant by ‘

    What is meant by ‘efficient design’? Explain.

    		•
  • Q : Mechatronics Define the tem

    Define the tem Mechatronics and what are its elements?

    		•
  • Q : State Concurrent Engineering Concurrent

    Concurrent Engineering has happened primarily as a result of the need to shorten product development times, but improving product quality and reducing product life-cycle costs are important considerations. Some companies have even gone to the extent o

    		•
  • Q : Benefits of gear drive Benefits of gear

    Benefits of gear drive: In general, gear drive is helpful for power transmission among two shafts, which are close to each other (at most at 1m distance). Additionally, it has maximum efficiency while transmitting power. It is resilient as compare to

    		•
  • Q : Working environment in Product design

    Working environment: The conditions under which the product is likely to be used, stored, and transported must be specified. The product may have to operate in conditions of extreme temperature, be subject to vibration, radiation; these conditions wil

    		•