You have to design a structure of a thin rectangular beam supporting a lamp with a mass of 20 kg as shown in Figure 1. The beam is fixed on the wall with modulus of elasticity of 200 GPa, length, I = 1.5 m, thickness, t = 2.3 cm and width, w = 3.2 cm. a) Derive the general solution to determine the displacement of the lamp for time t. b) Evaluate the maximum acceleration in vertical direction measured at the lamp if a gust wind initially excited the beam with initial displacement x = 0.1 cm and initial velocity v = 0 m/s. Ignore the mass of the beam. c) The procurement manager offers another option for the material of the beam. The material has a modulus of elasticity of 100 GPa. Discuss the impact of changing to this material in terms of vibration response. Lamp Wall

You have to design a structure of a thin rectangular beam supporting a lamp with a mass of 20 kg as shown in Figure 1. The beam is fixed on the wall with modulus of elasticity of 200 GPa, length, I = 1.5 m, thickness, t = 2.3 cm and width, w = 3.2 cm. a) Derive the general solution to determine the displacement of the lamp for time t. b) Evaluate the maximum acceleration in vertical direction measured at the lamp if a gust wind initially excited the beam with initial displacement x = 0.1 cm and initial velocity v = 0 m/s. Ignore the mass of the beam. c) The procurement manager offers another option for the material of the beam. The material has a modulus of elasticity of 100 GPa. Discuss the impact of changing to this material in terms of vibration response. Lamp Wall

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: T Blackboard @ Texas Tech Univers x E MasteringEngineering - Spring 2 x E MasteringEngineering…

A: Given data :- h = 4 m Fc = 400 N FE = 350 N FB = 400 N Find :- FR = ?

Q: At the instant 0 = 40 ° , the slotted guide is moving upward with an acceleration of 3 m/s and a…

Q: Please solve the question below, Thank You!

A: Step 1:Step 2:

Q: We can make assumptions for the unknown value to to be able to find these: Length of swing arm is…

A: Given: Length of swing arm = 19 in Length of sling = 10.5 in To find: A)position vectors for…

Q: Solve it with Roth table please, I do not understand why when I solve it the third row s^1 is…

A: Given Data: s3-3s2-4s+Ks2+5Ks+6K=0 To Find: Range of K from Routh-Hurwitz criteria.

Q: A beam held by a hinge, take 2. The left end of a beam of mass 17.9 kg and length L is fixed to a…

Q: Coupled Harmonic Oscillators X, =0 x= x' = 2t Derivative X= x" = 2nd Derivative ki k2 k3 we M A)…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: In class example 1.7 we found the equations of FBD and the force equations for the system shown…

A: For solution refer below images.

Q: An automobile is modeled as shown in Figure below. Derive the equations of motion, build the…

A: FOR solution refer below images.

Q: A simple model of blood flow through the descending aorta is provided at the right. Total flow into…

Q: ( Michael MIDTERM ST MAVI 10 Problem 2. Support A is a roller and E is a pin. P is the magnitude of…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: ad is described by the function here the boldface type indicates that G is a vector. a) Draw an FBD…

Q: ki= 15 N/m; k2 = 10 N/m; m, k3 = 12 N/m; %3D C1 Ci =1 N.s/m; m2 K3 c2= 2 N.s/m; C3 = 2 N.s/m; m3 mi…

A: Given : To find : Equation of motion

Q: A mass of 4 kg is attached to a spring. A force of 108 N is required to hold the spring stretched by…

Q: Required information The power Pgenerated by a certain windmill design depends upon its diameter D,…

A: Given data: dm=50 cmPm=2.7 kWVm=40 m/sN=4800 rpmdp=5 mVp=13 m/sρm=1.2255 kg/m3ρp=1.0067 kg/m3 Need…

Q: Practice Problem 2.4.13: Calculate the moment of the force P about the axis AD using: 6 ft (a) point…

A: Given, P=240 lb The required coordinates x,y,z are, C(3 ft, 6 ft, 7 ft)E(0 ft, 8 ft, 0 ft)A(3 ft, 0…

Q: 2,50 kg is hung on 90 N/m. Pr1. A body of mass m = a vertical spring of spring constant k At t = 0…

A: Given:- Mass of body m = 2.50 kg spring constant k = 901 N/m…

Q: A forensic scientist test-fires a projectile (mass mP) at a cubic block (volume V), made from wood…

Q: Q1: by using simple energy method find the equation of motion and natural frecquancy of the system…

A: Given Spring mass system with two spring of spring constant 3K and 4K Let E is the total energy of…

Concept explainers

Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.

Question

You have to design a structure of a thin rectangular beam supporting a lamp with a mass
of 20 kg as shown in Figure 1. The beam is fixed on the wall with modulus of elasticity of
200 GPa, length, I = 1.5 m, thickness, t= 2.3 cm and width, w = 3.2 cm.
a) Derive the general solution to determine the displacement of the lamp for time t.
b) Evaluate the maximum acceleration in vertical direction measured at the lamp if a
gust wind initially excited the beam with initial displacement x = 0.1 cm and initial
velocity v = 0 m/s. Ignore the mass of the beam.
c) The procurement manager offers another option for the material of the beam. The
material has a modulus of elasticity of 100 GPa. Discuss the impact of changing
to this material in terms of vibration response.
Lamp
Figure 1
Wall

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Step by step

Solved in 6 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

FBD: The mass of a pendulum is connected to a spring with a spring constant Kas shown in the figure. The spring stays vertical all the time with the help of a massless follower. The vertical distance between the fixed point O and the path of the massless follower is 2L. Use Newton's second law and find the equation of motion of the system in terms of 0. 762 mgbi Img 2L L bil Nig K 777777 P EMO = Jaz ->0₂ ?
Physics 121 Spring 2021 - Document #11: Homework #04 & Reading Assignment page 4 of 8 Problem 1: Gnome Ride - This from a Previous Exam I. A Gnome of given mass M goes on the Gnome Ride as follows: He stands on a horizontal platform that is connected to a large piston so that the platform is driven vertically with a position as a function of time according to the following equation: y(t) = C cos(wt) Here w is a constant given angular frequency, C is a given constant (with appropriate physical units) and y represents the vertical position, positive upward as indicated. Part (a) - What is the velocity of the Gnome at time t = 0? Explain your work. Present your answer in terms of the given parameters Part (b) – What is the net force on the Gnome at time t = 0? Explain your work. Present your answer in terms of the given parameters Part (c) – What is the Normal Force on the Gnome at time t = 0? Explain your work. Present your answer in terms of the given parameters Some Possibly Useful…
Based on your equations for the above problem, solve for the extension of the spring (in meters) when the variables have values as follows: angle A is 74.79 degrees angle B is 44.36 degrees spring constant k is 123.77 N/m mass m2 is 2.52 kg
Data has been gathered from a lifting system used to transport engine parts. The system consists of a drum and cable. The following data was obtained when the drum lowers the load (assume constant acceleration). Drum diameter = 0.8m Mass of load = 3kg Initial velocity = 0 m/s Time to descend = 0.5 secs Distance travelled = 0.25m You have been asked to use this information to determine: The final linear velocity of the load The linear acceleration of the load The final angular velocity of the drum The angular acceleration of the drum The tension force in the cable The torque applied to the drum In determining the above quantities, you should clearly state the formulae used and apply dimensional analysis techniques to show that all values/units used are homogeneous. From the formulae used (above) you should apply dimensional analysis techniques to develop two equations for power (in terms of linear velocity and angular velocity).
Question 3: For the rigid bay spring system shown in Fig. 1, assume vertical displacement u at joint C is the SDOF. A rotational spring k = 3kL° is placed at joint B. a) Find equivalent stiffness Ke at SDOF. b) Find energy equivalent mass (eem) at SDOF. c) Find natural circular frequency on for the system.
Fast pls solve this question correctly in 5 min pls I will give u like for sure Sini.
c) Calculate the equations of internal shear force V(x) and bending moment M(x). Type the mathematical expressions or constants, following the defined sign convection. Section AB: Internal shear force equation: V(x) = Internal bending moment equation: M(x) : Section BC: Internal shear force equation: V(x) Internal bending moment equation: M(x) = = N N N*mm N*mm
A ring of mass m is attached to the spring and slides over the rod. Unextended length of the spring l0 and the spring coefficient is k. When the collar is at point C, it is released and between the collar and bar Since the coefficient of friction is μk; a) Find the velocity of the ring at points A and B using the Work-Energy method. b) Find the normal forces acting on the collar at points A and B.
2. H On the cylindrical container above with a cross section area A we open a hole as shown with an area Ah. Initially the hole is closed. Ignoring all friction forces find: a) The pressure of the water at the bottom hole if it is closed and no water exits. b) Write the continuity and Bernoulli equation. c) Solve for the speed of the water as it leaves the hole. d) Assuming the velocity at the top is given by the function dy Vy = -C/y,(Vy = ) with y=0 at the height of the small hole and Ca known Constant. dt Solve the differential equation for the time it takes to empty the container as a function of C,h,H
A ring of mass m is attached to the spring and slides over the rod. Unextended length of the spring 10 and the spring coefficient is k. When the collar is at point C, it is released and between the collar and bar Since the coefficient of friction is uk a)Find the velocity of the ring at points A and B using the Work-Energy method. b)Find the normal forces acting on the collar at points A and B. la k =18N / m, 1, = 200mn, m=3.5kg, a=200mm, b=220mm, µ =0.04
W 40 lb with bucket plugged 12" initial depth 2" diameter drain Prob 3: A five-gallon bucket nearly filled with water weighs 40 lbs. The initial depth of the water in the bucket is 12 inches. A 2-inch diameter plug is suddenly removed from the bottom of the bucket. A brief transient behavior occurs to establish flow but before a significant decrease in water level occurs you may assume a quasi-steady flow situation exists as water drains straight down out of the bucket. What does the draining bucket and water weigh?