A \(60 \mathrm{~kg}\) drum of waste material is being hoisted by an overhead crane and winch system as illustrated in Figure P3.12. The system is modeled as a simply supported beam to which the cable is attached. The drum of waste material is attached to the end of the cable. When the length of the cable is \(6 \mathrm{~m}\), the natural period of the system is measured as \(0.3 \mathrm{~s}\). What is the mass of the waste material?
You have been assigned to determine the safe amount of volume waste to be held by a drum. Knowing that the weight of the 45 [cm] diameter drum is 80 [kg] which contains waste material of mass density 1100 [kg/m3). The drum is being hoisted by a 30 [mm] diameter steel cable that has a module of elasticity of E = 210 [N/m2]. When the drum is to be hoisted 12 [m], the systems natural frequency is measured as 40...
The beam ABC has a mass of 78.0 kg and is supported by the rope
BDC that runs through the frictionless pulley at D. The winch at CC
has a mass of 44.5 kg. The tension in the rope acts on the beam at
points B and C and counteracts the moments due to the beam's weight
(acting vertically at the midpoint of its length) and the weight of
the winch (acting vertically at point C) such that the resultant...
Vibration Engineering
Figure Q5(b) shows a motor having mass of 50 kg is mounted on the cantilever beam of length l = 0.3 m. The motor is supported by two springs of stiffness k = 2 kN/m each. The cantilever is made of steel (stiffness, k = 3E1 Young's modulus E = 209 MPa, moment of inertia, I = 1.5 x 10 kg.m²). i) Determine total stiffness of the system. 7 marks) ii) Determine the natural frequency of the system....
A mass of 50kg is hung from a spring of stiffness
?=?.?×105 (?/? ) and damper ?=100 ?.?/? , which is
attached to two aluminum beams with ?=71×109 (Pa),
moment of inertia ?=?.?×10−? (??), and length
of 255 (mm ). The beam is supported at its free end.
Determine:
(a) Equivalent stiffness and equation of motion of the
system.
(b) Damped natural frequency of the system (??) in
(Hz).
(c) Free vibration response of the system in time domain,?(?), when...
Exercises 1. (introduction) Sketch or plot the displacement of the mass in a mass-spring system for at least two periods for the case when Wn-2rad/s, 괴,-1mm, and eto =-v/5mm/s. 2. (introduction) The approximation sin θ ะ θ is reasonable for θ < 10°. If a pendulum of length 0.5m, has an initial position of 0()0, what is the maximum value of the initial angular velocity that can be given to the pendulum without violating this smll angle approximation? 3. (harmonic...
A block with mass m1 = 9.1 kg is on an incline with an angle θ = 31° with respect to the horizontal. For the first question there is no friction, but for the rest of this problem the coefficients of friction are: μk = 0.3 and μs = 0.33. 1) To keep the mass from accelerating, a spring is attached. What is the minimum spring constant of the spring to keep the block from sliding if it extends x...
How can we assess whether a project is a success or a
failure?
This case presents two phases of a large business transformation project involving the implementation of an ERP system with the aim of creating an integrated company. The case illustrates some of the challenges associated with integration. It also presents the obstacles facing companies that undertake projects involving large information technology projects. Bombardier and Its Environment Joseph-Armand Bombardier was 15 years old when he built his first snowmobile...
summarizr the followung info and write them in your own words and break them into different key points. 6.5 Metering Chamber: 6.5.1 The minimum size of the metering box is governed by the metering area required to obtain a representative test area for the specimen (see 7.2) and for maintenance of reasonable test accuracy. For example, for specimens incorporating air spaces or stud spaces, the metering area shall span an integral number of spaces (see 5.5). The depth of...
need help with this ..
From the pages 571-587 attached below.
1a) Suppose a population of guppies was infected with a
parasite. In that population a mutation results in a parasite
resistant genotype that spreads through the population through
natural selection. A subsequent mutation in the parasite results in
a genotype that is unaffected by the newly evolved resistant guppy
genotype. What is the name of the hypothesis that explains this
host parasite “arms race”.?
1b) What is this name...
10. Write a one-page summary of the attached paper? INTRODUCTION Many problems can develop in activated sludge operation that adversely affect effluent quality with origins in the engineering, hydraulic and microbiological components of the process. The real "heart" of the activated sludge system is the development and maintenance of a mixed microbial culture (activated sludge) that treats wastewater and which can be managed. One definition of a wastewater treatment plant operator is a "bug farmer", one who controls the aeration...