A mass weighing 11lb stretches a spring 6in. The mass is attached to a viscous damper with damping constant 3lb⋅s/ft.   The mass is pushed upward, contracting the spring a distance of 3in, and then set into motion with a downward velocity of 2in/s.   Determine the position u, in inches, of the mass at any time t. Use 32ft/s2 as the acceleration due to gravity. Pay close attention to the units.

Question

A mass weighing 11lb stretches a spring 6in. The mass is attached to a viscous damper with damping constant 3lb⋅s/ft.

 

The mass is pushed upward, contracting the spring a distance of 3in, and then set into motion with a downward velocity of 2in/s.

 

Determine the position u, in inches, of the mass at any time t. Use 32ft/s2 as the acceleration due to gravity. Pay close attention to the units.

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Engineering
Mechanical Engineering

Related Mechanical Engineering Q&A

Find answers to questions asked by students like you.

Q: Refer to drawing 21A035, what is the depth of the spotface?

A: Spotface: A spotface is an accurate round surface on a machined part providing proper seating of a b...

Q: •You are case-hardening a tool made of BCC (α) iron in the presence of a carbonaceous material. A he...

A: The equation for position is given as, But for the same position,

Q: Specifically a dynamics problem. Question and diagram in pics below.

A: The initial angular velocity of the disk, The angular acceleration is given as, The angular veloci...

Q: Comparing tools made of stone, Iron, and bronze: place them in the correct order from least to most ...

A: The durability of any material depends upon the materials ability to resist plastic deformation, ind...

Q: Compute the number of feet, to the nearest unit, require to slow a car from 55 mph to 30 mph while t...

A: Given: The velocity V1 = 55 mph = 80.67 ft/s   The velocity V2 = 30 mph = 44 ft/s The value of K1 &a...

Q: A sailboat capsizes a large distance from shore. What might be done to (1) right the boat and (2) pr...

A: A sailboat is a boat which is driven by sails. The boat can be capsizing due to overhunting of the b...

Q: Compute the gallons of sealer required to seal a floor 120'x250'. The sealer being used will cover 1...

A: Click to see the answer

Q: I did a torsion test to experimentally calculate the brass modulus of rigidity. My experimental modu...

A: For determining the torsional properties of the material torsion test is performed. With the help of...

Q: Hi, my question is in the picture.  This is a Dynamics question.

A: Click to see the answer

Q: 2. Two blocks on separate level tables are connected by a spring as shown, How much is the spring st...

A: Consider the tension in the spring to be T, N18 be the reaction of the block with 18 kg mass and f18...

Q: as shown in the attached figure, a block with mass m1 is attached to a massless ideal string. the st...

A: The free body diagram of teh mass-pulley system is shown below:  

Q: This is an Ideal Rankine Cycle with "Open Feedwater Heater'. We are to analyze the system but the pr...

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

Q: When fitting a freshly ground valve into a freshly ground seat: Technician A says that the seat shou...

A: The reconditioning of the valve seats is done to remove cracks, pitting and grooves from its surface...

Q: Specifically a dynamics problem. Question and diagram in pic below.

A: Click to see the answer

Q: Convert the following pressures to absolute pressure. Report the answer in the given units. You may ...

A: The Absolute pressure is the sum of atmospheric pressure and gauge pressure.  

Q: Please find the question attached.

A: Assume f(t) = 0, and displace the system from its equilibrium position. Consider, the schematic diag...

Q: Two hemispherical shells of inner diameter 1m are joined together with 12 equally spaced bolts. If t...

A: Given data,  

Q: A spherical neutrophil 16µm in diameter is resting as shown in the attached photo. The pressure diff...

A: Hello. Since your question has multiple sub-parts, we will solve the first three sub-parts for you. ...

Q: a 1.5 lb brick is released from rest A and slides down the inclined roof. if the coefficient of fric...

A: Given: Weight of brick, W = 1.5 lb. Coefficient of friction, μ = 0.3 The forces acting on the brick ...

Q: You are given a sample of polypropylene and wish to find out the volume % crystallinity. You know th...

A: Given: Density of crystalline polypropylene, (ρC) = 0.946 g/cm3 Density of amorphous polypropylene, ...

Q: why must the tip of the tungsten be hot?

A: Given : Tungsten Tip

Q: Oblique Impact To analyze an oblique impact using the conservation of momentum and coefficient of re...

A: Given data as per question Height of wall = 10.0 m Before collision velocity of the ball = 23.0 m/s ...

Q: A heat engine uses water as the working fluid. Water enters the boiler at 60∘C and 3 MPa at a rate o...

A: At 60°C from steam table Specific enthalpy h2 = 251.15 KJ/Kg At 3 Mpa and 350°C: From steam tables, ...

Q: (Mechanics and Materials Class) Problem 19: Find the reactions at the supports, and find the shear f...

A: Given data as per question Load applied at 6 ft distance = 12k Load applied at 8 ft distance = 12k ...

Q: Please find the question attached.

A: Shear strain is defined as the change in the angle in radian. Since the DB line remains horizontal, ...

Q: Specifically a dynamics of a particle question: The acceleration of a particle as it moves along a s...

A: The acceleration of the particle is given by the equation:                                          ...

Q: The tension in cable CD is T = 755 lb. Consider the force which this cable exerts on point C and det...

A: Click to see the answer

Q: Please answer both 1 and 2 as they relate to eachother. thank you in advance

A: Write the properties of 1040 steel.

Q: Project 2: In company that designs road cars and heavy trucks, it important to make the proper selec...

A: Hi, thank youy for the question! Since we only answer up to 3 sub-parts, we’ll answer the first 3. P...

Q: Match the surfaces 17-20 to their characteristic: principal, inclined, or curved

A: Principal surface – It is that surface which is parallel to the reference plane and perpendicular to...

Q: There is a plan to install a continuous loop conveyor system with a total length of 1,000 ft and a s...

A: Given Data: Loading cycle time is 20 min (10 minutes for loading and 10 minutes for resting) Loadin...

Q: A machine having a mass of 4200 kg is supported 1-45. by three solid steel rods arranged as shown in...

A: Mass of the machine = 4200 kg = 4200*9.81 = 41202 N Diameter of the rod = 20 mm Free body diagram of...

Q: suppose that the inner cone of flame produces 430 btu per cubic foot of gas, and the outter envelope...

A: The Flame is a visible, gaseous part of a fire which is caused due to highly exothermic reaction of ...

Q: How many wires are normally connected to adouble-filament light bulb?

A: In double filament light bulbs, two filaments, which are independent to each other are used. Double ...

Q: if the mil light is on, there will be a dtc and associated freeze frame data stored in the pcms memo...

A: Click to see the answer

Q: What factors influence the crystallinity ofpolymers? Explain the development androle of crystallinit...

A: The process of partial alignment of their molecular chains is called the crystallization of polymers...

Q: -A per fectly sealed room metors height 10 meters wide, 12 meter? long and 3 Is composed of 49 shudo...

A: Calculate the total volume of the room. Here, w, l, and h stand for the width, length, and height o...

Q: Please find the question attached.

A: The 1st compatibility equation is,

Q: Specifically a dynamics problem. Question in pic below.

A: Given data,  

Q: The question in the picture is a dynamics question. Hint: vC = Lw (up), aC = 0.577Lw2 (up)

A: For the given mechanism, let the link makes an angle of phai with the horizontal as shown below, Th...

Q: Can you show how to solve this problem in both vector and scalar method

A: Drawing the free body drawing for the given problem,  

Q: 4-59. A propeller driveshaft on a ship is to transmit 2500 hp at 75 rpm. It is to be made of SAE 104...

A: Click to see the answer

Q: Compute the total elongation of the bar shown in Figure P3-37 if it is made from titanium 3-37. Ti-6...

A: Reaction at A; Axial loading diagram: Now,

Q: A 0.15 m3 rigid tank initially contains saturated liquid water at 165∘C. A valve at the bottom of th...

A: 1) The process in the problem is an unsteady process as the conditions in the tank are changing duri...

Q: 66 0.60 in. 1.60 in. 0.40 in. -0.80 in.- → Shape of a slug for Problem 1-62. FIGURE P1-62

A: Given data as per question Thickness of sheet to be punched = 0.194 in. Punching force = 45000lb

Q: Calculate the inertia about the centroid of the body and about the x and y axis.

A: Numbering the shapes in the given figure as shown below. Take (x1, y1), (x2, y2) and (x3, y3) as th...

Q: The horizontal steel shaft has a mass of 500 kg and is suspended by a vertical cable from A and by a...

A: Draw the triangle CBD.

Q: The crystalline density of polypropyleneis 0.946 g>cm3, and its amorphous densityis 0.855 g>cm...

A: Given data as per questionDensity of polypropylene = 0.946 g/cm3amorphous density = 0.855 g/cm3

Q: A flow-line mass production operation consists of six manual workstations. Work units are moved sync...

A: (a) Given: No. of workstations = 6 Transfer time of each station = 10 sec Cycle Time: The cycle time...

Q: To use the principle of work and energy to determine characteristics of a mass being pulled up an in...

A: Given data as per question Mass of crate = 53 kg Speed = 2.1 m/s Angle = 500 Kinetic friction = 0.13...