2.12 Figure P2.12 shows a two-mass translational mechanical system. The applied force fa(t) acts onmass m₁. Displacements z₁ and z₂ are absolute positions of masses m₁ and m₂, respectively,measured relative to fixed coordinates (the static equilibrium positions with fa(t) = 0). An oil filmwith viscous friction coefficient b separates masses m, and m₂. Derive the mathematical model ofthe mechanical system.fa(t)wwwFigure P2.12m1m2Z1k₁www22Oil film,frictioncoefficient b

Answered: Image /qna-images/answer/085eeb7f-99a6-43e8-a263-54042f00d642.jpg

Answered: with viscous friction coefficient b…

Engineering

Mechanical Engineering

with viscous friction coefficient b separates masses m₁ and m₂. Derive the mathematical model of the mechanical system.

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: Required information A photograph of the NASA Apollo 16 Lunar Module (abbreviated by NASA as the LM)…

A: To find: The force in the member AB, AC and AD. Given: The coordinates point A, B, C and D is…

Q: 3. An object (mass 300 kg) is at rest on a horizontal surface where the coefficient of static…

Q: Develop the mathematical model

Q: 3. A V-belt drives a pulley at a speed of 1440 m/min. The coefficient of friction between belt and…

A: Given data: - The speed of the belt is v = 1440 m/min. The friction coefficient between belt and…

Q: A ladder of length 2L and mass M is positioned on level ground leaning against a wall such that the…

Q: The friction coefficients us = 0.25 and µk = 0.20, calculate the acceleration of body A and the…

A: The free body diagrams are shown below.

Q: swer the following questions, following the problem-solving checklist as you present your work.…

A: This question is based on the concept of kinetic and static friction

Q: Figure shows a 100 kg concrete cylinder resting on a wall at A. A 10° wedge is used at the bottom…

Q: A 6.00 kg block is pressed against a vertical wall by a force. The coefficient of static friction…

A: Given: The mass of the block pressed against a vertical wall is mi=6.00 kg. The coefficient of…

Q: A light, inextensible cord passes over a frictionless pulley as shown in Fig. tached to block B; a…

A: Given data: Coefficient of friction between the blocks = 0.33 Coefficient of friction between block…

Q: 120N 60N 60°

Q: the system blocks shown below is in equilibrium, the weight of block A is 10 kN and for block B is…

A: Consider the free body diagram:

Q: A body weighing 100 lb rests on an inclined plane, as shown. The coefficient of static friction…

Q: While the system shown is in equilibrium, a force F = 18.9 in N is applied to pull the spring as…

Q: incline and released from rest. The coefficient of static friction between the block and the incline…

Q: Q3 [Type B]: A 5 kg block is pushed up along the slope as shown. The coefficient of kinetic friction…

Q: A cylinder having a mass of 211 kg is to be supported by the cord which wraps over the pipe. What is…

Q: in static equilibrium in the position shown? The uniform bar AB weighs 500 lb, and the weight of…

A: Weight of the bar AB .Weight of the block C .The static coefficent of static friction .

Q: Evaluate the mass of the Mo block shown in Figure 3 when the 100 kg block is almost situation called…

A: Mass of block m= 100 Kg Coefficient of static friction μs= 0.3 Angle of inclination θ= 200 To find…

Q: QI Block A in the figure below weighs 1.40 N, and block B weighs 4.20 N. The coefficient of kinetic…

Q: 2. Compute the horizontal force P required to prevent the block from sliding down the plane for the…

A: GivenW=100 lbθ=30oμs=0.65

Q: Q2 (a) Discuss briefly the various types of friction and explain your classification. (b) A body…

A: (a) Write the types of friction. (1) Static friction: It occurs when there is no motion in contact…

Q: 7. In Figure 6, the cups and the ams of an anemomcter are fabricated from a material of density p.…

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: Q3 A body of 450 N is placed on a 450 incline surface. Find the horizontal force P required to move…

A: Given data as per question Mass of body =450 N Inclination angle =450 coefficient of friction =0.2

Q: A 20-kg triangular block sits on top of a 10-kg rectangular block shown in the figure below. The…

A: given data; mass of triangular block(M) =20kg mass of rectangular block(m)=10kg friction coefficient…

Q: 23/ the Porle P = loo N causes the massless block (A) to just about to move along horizontal…

Q: Crates A and B, shown in Figure Q4, weigh 20 kg and 15 kg, respectively. The crates are connected…

Q: 1. A uniform ladder of mass m and length is leaning at rest against a wall at an angle 0. The…

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

Q: A uniform ladder of mass 21kg and length 6.2m leans against a smooth wall at an angle 64 degrees…

A: Given: The mass of ladder = 21 kg the length of ladder 6.2 m The angle is 64 deg The mass of person…

Q: Calculate the horizontal force Pon the light 11° wedge necessary to initiate movement of the 36-kg…

Q: The 114-kg crate of the figure below is being moved by a rope that passes over a smooth pulley. The…

Q: Consider the system shown below. The incline plane is fixed and the coefficient kinetic friction…

Q: A uniform ladder of mass 21 kg and length 6.2 m leans against a smooth wall at an angle 64° with…

Q: Mass of both blocks F 14kg. The friction coefficient for this bar is µ= 0.4. The spring constant k=…

A: Given data: Mass of both blocks A and B are mA = mB = 14 kg. The friction coefficient is μ=0.4. The…

Q: The boxes are at rest. The pulley is massless. Fpull makes an angle 0 with respect to the incline.…

Q: Q3 A body of 450 N is placed on a 45° incline surface. Find the horizontal force P required to move…

Q: e 250 lb uniform crate (center of gravity at G) shown in e figure must be moved without tipping. The…

A: Given Data Force = 250lb Required a) coefficient of static friction b) Push force

Q: A uniform ladder is L=5.0m long and weighs 400.0 N. The ladder rests against a slippery vertical…

A: The free body diagram of the ladder is as follows: Calculate the moment about point B as follows:…

Q: W

Concept explainers

Forming and Shaping

Metal forming is a category of metalworking process through which the material can be given the desired shape and size by subjecting it to plastic deformation, where the component undergoes bulk deformation process upon application of loads. Unlike the shearing and machining process, the material does not undergo up to a failure point as indicated in the stress-strain curve. Hence, the stresses induced during the forming process are greater than yield strength but less than the failure strength of the material. The process does not lead to the loss of material, so it can be said to be an economical process. During forming, the material is subjected to tensile forces, compressive forces, bending, and shearing loading conditions. The material should possess the property of ductility to undergo the forming process.

Question

2.12 Figure P2.12 shows a two-mass translational mechanical system. The applied force fa(t) acts on
mass m₁. Displacements z₁ and z₂ are absolute positions of masses m₁ and m₂, respectively,
measured relative to fixed coordinates (the static equilibrium positions with fa(t) = 0). An oil film
with viscous friction coefficient b separates masses m, and m₂. Derive the mathematical model of
the mechanical system.
fa(t)
www
Figure P2.12
m1
m2
Z1
k₁
www
22
Oil film,
friction
coefficient b

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: Given data

VIEW

Step 2: Calculate the inertia force acting on mass M1 and M2

VIEW

Step 3: Derive the mathematical system

VIEW

Solution

VIEW

Step by step

Solved in 4 steps with 4 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

Blocks A, B, and C are placed as in Fig. and connected by ropes of negligible mass. Both A and B weigh 25.0 N each, and the coefficient of kinetic friction between each block and the surface is 0.35. Block C descends with constant velocity. (a) Draw separate free-body diagrams showing the forces acting on A and on B. (b) Find the tension in the rope connecting blocks A and B. (c) What is the weight of block C? (d) If the rope connecting A and B were cut, what would be the acceleration of C?
3) The cart shown below weighs 45o lb (weight located at CG, at geometric center of cart). If the wheels are locked, and the coefficient of static friction between the wheels and the ground is o.4 (), will the cart slide down the hill? Yes/No: 8 ft 3 ft CG 1 ft 6 ft 15
3.2 Sliding blocks with friction* Mass MA = 4kg rests on top of mass Mg = 5 kg that rests on a fric- tionless table. The coefficient of friction between the two blocks is such that the blocks just start to slip when the horizontal force F applied to the lower block is 27 N. Suppose that now a horizontal force is applied to the upper block. What is its maximum value for the blocks to slide without slipping relative to each other?
For the problem related to Fundamental.6 sketches of the system showing: • the respective velocity and acceleration 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. F The 77-kg man pushes on the 120-kg crate with a horizontal force F. The coefficient of static friction between the man's shoes and the surface is 0.82. What must be the coefficient of kinetic friction between the crate and the surface if we observe an acceleration of the crate of 2.1 m/s²? Type your answer in the cell below.
State the equation that mathematically represents the system. All in domain X(s) hint: there are 3 equations 4:00-1-1-1-1!1! k₁ 0000 0000 B₂ B₁. m₁ 0000 k3 without friction x1 (1) m2 B3 -f(t) + - X2 (1)
the object weights 26lbs, that weight is evenly distributed determine the P required for the body to have impending motion. The coefficient of static friction is .5. Also, state whether the object will slip or tip HINT: It’s a 2d problem not 3d and you will need to find the centers of gravity
Ql: A box weighing 100 N is at rest on a horizontal floor. The coefficient of the static friction F sin 6 between the box and the floor is 0.4. What is the NA F cos 0 smallest force exerted eastward and upward at an angle of 30° with the horizontal that can start the box in motion?
An engineer is designinga conveyor system for loading haybales into a wagon (Fig.).Each bale is 0.25 m wide, 0.50 mhigh, and 0.80 m long (the dimensionperpendicular to the plane ofthe figure), with mass 30.0 kg. Thecenter of gravity of each bale is atits geometrical center. The coefficientof static friction between abale and the conveyor belt is 0.60, and the belt moves with constantspeed. (a) The angle b of the conveyor is slowly increased. At somecritical angle a bale will tip (if it doesn’t slip first), and at some differentcritical angle it will slip (if it doesn’t tip first). Find the twocritical angles and determine which happens at the smaller angle. (b)Would the outcome of part (a) be different if the coefficient of frictionwere 0.40?
7. A block of mass 60 kg is to be accelerated upwards along a plane inclined at 10° to the horizontal by force Fp, which is parallel to the plane and has a magnitude of 420 N. The coefficient of friction is 0.25. Calculate the acceleration of the block.
the system blocks shown below is in equilibrium, the weight of block A is 10 kN and for block B is 35 kN . The coefficient of friction between A and surface is 0.2 and between two block A and B is 0.15. Answer :the following P=40KN Lë 5 The value of friction force between two * blocks is 5.6 kN 6.4 kN 4.8 kN Non above-mentioned