8.4 For the bar-spring-mass system in Fig. P8.4,assume that the bar is rigid but its mass is negligible, thatthe rotation of the bar remains small, and that gravity canbe neglected. In parts (a) and (b), derive the equations ofmotion, and write the equations in matrix form. (a) Letcoordinates u, and uz be the vertical displacements ofthe masses m1 and m2, respectively. (b) Let coordinatesu, and uz be the vertical displacements of points A andC where springs k, and k2, respectively, are connectedto the rigid bar. (c) Briefly discuss how the equations ofmotion are coupled in each case.Rigid, masslessm2D.k2P(t)Figure P8.4

Answered: 8.4 For the bar-spring-mass system in…

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

Similar questions

A light parachute for military purposes is being designed. Its diameter is 7.3 m, test load, parachute and rig weight is 1023 N. For this weight, the limit descent speed Vt = 6.1 m / s, which is taken as a basis in the design of the parachute. The 1/12 scale model will be tested in the wind tunnel and the temperature and pressure of the tunnel are the same as that of the prototype. (15.5 ºC and standard atmospheric pressure) a) Calculate the resistance coefficient of the prototype. (Hint: At the limit descent speed, the weight is balanced by the aerodynamic resistance.) b) At what speed should the wind tunnel be run to achieve dynamic similarity? c) Calculate the aerodynamic resistance of the model parachute in the wind tunnel. Density of air at 15.5 ºC and standard atmospheric pressure ρ = 1.22 kg / m3 viscosity, µ = 8.16x10-6 kg / m.s will be taken.
This exercise is part of a series of problems aimed at modeling a situation by progressively refining our model to take into account more and more parameters. This progressive approach is very close to what professional scientists do! context We want to lower a suspended load in a controlled way so that it hits the ground with a speed whose modulus is not too great. To slow down the descent, a spring has been added behind the mass (A), The suspended load (B) is connected by a rope passing through a pulley to this mass (A), which slides on a horizontal surface with friction. Information The masses of the charges A and B are known.The mass of the rope itself is negligible (very small compared to the loads).The pulley has negligible mass and can rotate without friction.The charge B is initially stationary and is at a known height h.The surface on which mass A sits is tilted upwards at a known angle theta from the horizontal.There is friction under mass A: the kinetic friction…
Expanded.3 deals with the conservation of momentum principle. Using the conservation of momentum principle to solve this problem is mandatory. Solution using other approaches will be automatically considered false. For the problem related to Expanded.3, sketches of the system showing: • the respective initial and final velocity and position coordinates and the frame of reference considered • the forces acting on the system of considered, in other words, a free body diagram (FBD) are mandatory. Their absences will automatically make the problem false. The automobile has a weight 3,158-lb and travels forward at 8ft/s when it crashes into the wall and stops. The impact occurs in 0.04 s. If the coefficient of kinetic friction between the wheels and the pavement is 0.42, and the brakes are applied, what is then the average impulsive force?
2. The apparatus shown below is designed to measure the density of an unknown fluid (p2₂). The two sides of the device are separated by a movable, frictionless partition. The partition is attached to the immobile sidewalls of the device via springs (different spring constants) on either side. Before pouring fluid into the device, both springs are unstretched. The device has a rectangular cross-section and extends a width w into the page. Derive an expression for the unknown density p2 = f(p1, h₁, h₂, k₁, k2, Ax, g), where Ar is the displacement of the partition relative to its equilibrium location before the fluids are poured into the apparatus. h₁ P1 k₁ 5 P2 ли Ax k₂ h₂
A small model water turbine is tested in a flume where Cp is measured to be 0.38. Assuming dynamic similarity exists, calculate the power output of a full-size turbine of diameter 12 m operating in a tidal stream, where the water density is 1030 kg/m³, μ = 1.307-³ Ns/m² and maximum water velocity of 2.2 m/s.
Looking for correct answer within 30minutes.
Q7. A 4.20 m long (L) steel pipe has a mass of 450 kg and is lifted by a crane attached to cable CD. Point C is attached to each end of the pipe at A and B of the steel pipe. The length AC is 3.25 m and the length BC is also 3.25 m (i.e., length AC = BC). Using g = 9.81 m/s2, calculate the tension in sling AC and give your answer in newtons (N) to the nearest newton.

Recommended textbooks for you

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Control Systems Engineering

Mechanical Engineering

ISBN:

9781118170519

Author:

Norman S. Nise

Publisher:

WILEY

Mechanics of Materials (MindTap Course List)

Mechanical Engineering

ISBN:

9781337093347

Author:

Barry J. Goodno, James M. Gere

Publisher:

Cengage Learning

Engineering Mechanics: Statics

Mechanical Engineering

ISBN:

9781118807330

Author:

James L. Meriam, L. G. Kraige, J. N. Bolton

Publisher:

WILEY

SEE MORE TEXTBOOKS