--%>

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 : Problem related to pressure gauge Water

    Water flowing via the vertical pipe is illustrated below. Compute the required pipe diameter for the smaller pipe,‘d’,  given that the two pressure gauges read similar value.

    Q : Calculating liquid composition There

    There is a 35% MeOH/water mix to feed to a flash at 100 Ib- mole /hr and 1 atm. We want a vapour composition of 60 % MeOH. What does the vapour flow rate need to be? What is the liquid composition? Give the equation of the operation line?

    Q : Define Product Design Specification

    Product Design Specification: Once the basic idea for a product has been made, the next step is to create a product design specification, or PDS. This document must be as comprehensive and as detailed as possible as it forms the basis of all the work

  • Q : Problem on basic process of Arena

    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 chara

  • Q : Problem on discharge of water In the

    In the below system, d = 6 in., D = 12 in., Δz1 = 6 ft, and Δz2 = 12 ft. The discharge of water in the given system is 10 cfs. Is the machine a turbine or a pump ? Determine the pressures at points A and B? Neglect head losses. Suppos

  • Q : Measuring the Temperature in Wet Bulb

    Explain phenomenon to measure the Temperature in Wet Bulb Thermometer?

  • Q : Static and Dynamic load What are Static

    What are Static and Dynamic load and what are their significant dynamic effects?

  • Q : Free Vibration of MDOF Systems Why free

    Why free vibration takes place at MDOF system?

  • Q : Problem on turbulent flow The

    The approximate equation for the velocity distribution in a rectangular channel with the turbulent flow is 655_turbulent flow.jpg

    Q : Solution A pump station has been

    A pump station has been designed to lift water out of a 6 metre deep pit (vented to atmosphere) via a centrifigual pump mounted at ground level. Liquid conditions 20OC Suction pipe work losses 2.0 metres NPSH safety factor 5.0 kPa Vapor pressure @ 20oC 0.25 metres (a) Calculat