1) The figure below shows a system in which mass m2 is added to mass m1 (the spring is not stretched). Answer the following questions about the motion when mass m2 is released freely. However, the mass and moment of inertia of the movable pulley are ignored. k mi m2 X₂ 1) Show the kinetic energy of the entire system using x1 and x2 (just the answer is enough). 2) Show the relationship between x1 and x2 (just the answer is enough). 3) Find the equivalent mass of the entire system. 4) Show the equation of motion of the system using this equivalent mass. However, assume that t damping is zero. 5) Find the natural frequency

1) The figure below shows a system in which mass m2 is added to mass m1 (the spring is not stretched). Answer the following questions about the motion when mass m2 is released freely. However, the mass and moment of inertia of the movable pulley are ignored. k mi m2 X₂ 1) Show the kinetic energy of the entire system using x1 and x2 (just the answer is enough). 2) Show the relationship between x1 and x2 (just the answer is enough). 3) Find the equivalent mass of the entire system. 4) Show the equation of motion of the system using this equivalent mass. However, assume that t damping is zero. 5) Find the natural frequency

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: (ii) Consider a pendulum with mass m hanging from the ceiling by a massless string of length 1.0 m,…

A: The behaviour of body in motion without external force is studied under kinematics. The behaviour of…

Q: The system shown below is released from rest and slider B moves to the right with the constant…

Q: F5 F₁ X1 Given the following Variable Value x1 10 in X2 9 in Y1 4 in Y2 6 in Y3 6 in F₁ 5 lb F₂ 5 lb…

Q: 2 Problem The mechanized arm shown below is simulatenously rotating upward and extending as it holds…

Q: Q- A block of mass 100 kg is attached to springs of spring constant K₁ = 40 N/m and K₂ = 60 N/m. The…

A: Mass of the block m = 100 kgspring constant K1 = 40 N/m and K2 = 60 N/m Distance x = 2.5 mTo…

Q: A spring with a spring constant k of 20 pounds per foot is loaded with a 10-pound weight and allowed…

Q: F 0.5 S 0 UBC Engineering N A block of a mass of 6 kg and a spring with a k value 30 as shown in the…

A: Mass of block, m=6 kgSpring constant, k=30 N/mCompression, x=0.5 mApplied force, F=60 NKinetic…

Q: The 20-kg block is subjected to the action of the harmonic force F= (90 cos 6t) N. where t is in…

Q: The radius, r, of the pulley shown in figure Q1 is 100mm and has a mass moment of inertia of I = 0.1…

Q: When testing the landing gear unit of a space vehicle drop tests are carried out. Figure 2.17 is a…

Q: A box is released from rest at the top of a ramp at timet = 0. It slides down the ramp and collides…

A: Consider the time interval 0<t<tA. Let W be the weight of box so calculate the weight in the…

Q: The block is released from rest, and it begins to fall. Find the magnitude of the linear…

A: We know that net torque acting on a system is equal to product of angular acceleration and moment of…

Q: Don't Use Chat GPT Will Upvote

A: Here I took g as 10, you can also take 9.8 depend on you requirements If you take g=9.8, dont get…

Q: find the center of mass, the velocity of the center of mass, the momentum, and the kinetic energy of…

Q: 4. A particle with a mass of 0.75 kg is moving in two dimensions. Its motion can be described by the…

Q: The figure below shows the positions of the Centers of mass of the three disks on a rotating shaft.…

Q: A solid cylinder (mass 1.2kg, radius 5.0cm) on a horizontal table is connected to a block (mass 200…

A: Consider the length of the string as L.This string is connecting cylinder with block running over…

Q: 4-22. An airplane travels at a heading of -60° with an air speed of 500mph. The wind is blowing at…

A: Step 1:Angle of the air plane is −60oAngle of the wind is 30oSpeed of the air plane is 500mphSpeed…

Q: Three masses are attached to a 100-meter long beam as shown below. The mass of the bea, is 210…

A: Draw the free-body diagram of the beam.

Concept explainers

Chemical and Phase Equilibrium

Phase diagrams or equilibrium phase diagrams are the graphical representations that show the phase transformations of the constituting elements with respect to the pressure, temperature, and compositions. The diagrams show the conditions that limit the different phases, namely solid, liquid, and gas. The diagram can also be utilized to verify the relations between the state variables. Most of the phase diagrams are temperature-pressure phase diagrams, with the variable parameter as the composition. Usually other variables such as solubility and pressure parameters are not indicated in the phase diagram. For a one-component system (unary phase diagram), the phase diagram is generally a function of temperature and pressure as the state variables, or temperature and volume. However, for a binary system (two-phase) having two components, the phase diagram is a function of temperature and composition as the state variables only. Coexisting of the different phases of the constituting elements is indicated in the phase diagram. A ternary phase diagram can be characterized by consisting of three phases in equilibrium.

Question

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given

VIEW

Step 2: Calculation of kinetic energy, relation between x1 and x2 and equivalent mass of the system

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 12 images

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

F1 F2 F3 A b F4 D F5 Consider the following values: - a = 25 m; b 5 m; c = 25 m; d = 5 m; F1 = 4 kN; F2 = 5 kN; F3 = 6 kN; F4 = 7 kN; F5 = 8 kN; a = 30°, 0 = 60° %3D B = 30° 1] What is the resultant moment of the five forces acting on the rod about point A? a) - 75.8 kN.m b) 32.7 kN.m c) - 14.6 kN.m d) 72.9 kN.m e) 27.1 kN.m - 66.1 kN.m 2] What is the resultant moment of the five forces acting on the rod about point B? a) - 198.8 kN.m b) 212.7 kN.m c) - 121.6 kN.m d) 98.9 kN.m e) 125.4 kN.m f) -170.2 kN.m 3] What is the resultant moment of the five forces acting on the rod about point C? a) - 96.7 kN.m b) 251.1 kN.m c) - 114.6 kN.m d) 217.9 kN.m 154.1 kN.m f)-177.7 kN.m 4] What is the resultant moment of the five forces acting on the rod about point D? a) - 198 kN.m b) 127 kN.m c) – 219 kN.m d) 369 kN.m e) 151 kN.m f) - 171 kN.m Activate V 5] What is the moment of the force F2 about point E? Go to Setting
Please answer quick you are in a bumper car with a total mass of 200.0kg your friend is also in a bumper car with a total mass of 200.0kg.You are moving to the right at 1.00m/s. Your friend is moving to the left at 0.500m/s. Your car hits a spot on your friends car that has no bumper. Your bumper acts as a spring with a spring constant of 2.00x10^4N/m. Determine the velocity of your car when the bumper has raced a maximum compression of 0.0700m.Assume friction is negligible.
Two different amusement park rides are shown in the figure at the right. Each of the platforms is supported on frictionless pins by a pair of arms. All of the arms supporting the platforms rotate at the same angular velocity w. Compare the kinetic energies of the two identical platforms P and Q. Which is correct? Platform P has greater kinetic energy. Platform Q has greater kinetic energy. The kinetic energy of the platforms will be the same. Each will have zero kinetic energy. Not enough information is given.
F1 F2 a F3 b F4 FS Consider the following values: - a 25 m; b - 5 m; c- 25 m; d 5 m; F1 - 3 kN; F2 - 1 kN; F3 - 4 kN; F4 - 6 KN; F5 - 8 kN; a = 30°, 0 = 60°, B= 30° 4] What is the resultant moment of the five forces acting on the rod about point D? a) 117.8 kN.m b) - 184.2 KN.m )– 211.9 kN.m d) 126.9 kN.m e) - 27.1 kN.m 125.1 kN.m Activate Go to Setting n 32.3 kN.m 5] What is the moment of the force F2 about point E? a) 11.7 kN.m b) 19.8 kN.m c) 54.6 kN.m d) 9.1 kN.m e) 41.1 kN.m
Under some circumstances when two parallel springs, with constants k₁ and k2, support a single mass, the effective spring constant of the system is given by k = 4k1k₂/(k₁ + k₂). A mass weighing 20 pounds stretches one spring 4 inches and another spring 2 inches. The springs are attached to a common rigid support and then to a metal plate. As shown in the figure, the mass is attached to the center of the plate in the double-spring arrangement. k₂ II k = 20 lb Determine the effective spring constant of this system. lb/ft Find the equation of motion x(t) if the mass is initially released from the equilibrium position with a downward velocity of 6 ft/s. (Use g for the acceleration due to gravity.) 32 ft/s² x(t) = ft