Considering the figure shown, determine the equivalent spring constant of a spring that will represent all of the given springs such that its deflection is along a vertical path with the mass. k1=1N/m k2=2N/m k3=3N/m k4=4N/m and k5=5N/m. (answer in N/m) * k1 m k4

Considering the figure shown, determine the equivalent spring constant of a spring that will represent all of the given springs such that its deflection is along a vertical path with the mass. k1=1N/m k2=2N/m k3=3N/m k4=4N/m and k5=5N/m. (answer in N/m) * k1 m k4

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.8.4P: A block weighing W = 5.0 N drops inside a cylinder from a height h = 200 mm onto a spring having...

See similar textbooks

Related questions

Q: as being infinitely long when finding temperatures near the bottom and the top of the cylinder.

A: Given data A cylindrical bar Solution is given below in next step

Q: At 3MPa and 400C, 2 kg/s steam flows into a turbine. It exits at 300kPa. The turbine has an efficien...

Q: What downward acceleration should be applied to a tank containing a certain liquid such that the pre...

A: When dealing with the pressures exerted by gases and liquids, however, it is most convenient to a...

Q: In a cycle, a 4kg ideal gas (MW=3g/mol and k=2.3) confined in a controlled mass system went through ...

A: Lets find the characteristic gas constant R and specific heat at constant volume (Cv) and specific h...

Q: resultant displacement.

A: Need to find the resultant displacement.

Q: Two blocks are joined by an inextensible cable as shown. The mass of block A is 196.1 kg and the mas...

Q: Locate the centroid (x, y) of the uniform wire bent in the shape shown 100 mm- 20 mm

A: a1=a2=a3=a4=a5=a x1=0x2=1002=50mmx3=50mmx4=50+502=75mx5=502=25mm x=a1x1+a2x2+a3x3+a4x4+a5x5a1+a2+a3...

Q: Calculate the reactions at each support for all the 4 beams sl

Q: A stepped 100 N-m as shown in figure below. Modulus of rigidity of material is 90 GPa, then angle of...

A: Given data: Torque, T=100 N-m G=90 GPa

Q: Imagine that you have just walked outside on a cold day with a mug of hot chocolate. Do you think yo...

A: following is the answer to the above question-

Q: 7.41 • A 350 kg roller coaster car starts from rest at point A and slides down a frictionless loop-t...

A: Given data: m=350 kg Need to determine the speed of the coaster at B and How hard does it press agai...

Q: A steel alloy specimen having a rectangular cross section of dimensions 18.6 mm × 3.4 mm (0.7323 in....

Q: t the top and the other at the bottom. The diameters at the top and bottom are 2m and 3m, respective...

A: mi4 USO=1×122×Hassume D=12mH=3.4724 m1- Design of Top dome W=W×R cos y×8.7 It cos 23.60-20.18 Kolnme...

Q: Procedure: • Create a detailed thread drawing for the fastener given below. • Save your drawing to a...

A: Kindly refer the next page to see the detailed drawing.

Q: A bicycle wheel with a 0.1 meter radius rolls down the road without slipping. If the speed of the w...

A: Given data, r = 0.1 m v = 3 m/s Find acceleration = a = ?

Q: Six cylindrical core plugs of 2.54 cm diameter and 3.81 cm length were taken from an Alaskan North S...

Q: Determine the equivalent torsional spring constant of the system that will be located in the positio...

Q: A pump draws water from an 8 in. suction pipe and discharges through a 6 in. pipe in which the veloc...

Q: A system is described by the following transfer function: Y(S) 9. U(S) 2s2 + 8s + 6 (a) The input u(...

Q: Air is flowing through a thick walled copper pipe that can be considered to be isothermal at 450 deg...

Q: Determine the uniform accelerations of A and B. (You must The uniform acceleration of A is

A: Need to find uniform acceleration A and B.

Q: An ideal gas of 4kg mass (MW=3g/mol and k=2.3) contained in a regulated mass system went through thr...

Q: The small body has a speed va = 4.0 m/s at point A. Neglecting friction, determine its speed at poin...

Q: An orthogonal turning operation is carried out under the following conditions: rake angle = 5°, spin...

A: Given:rake angle, α=5ospindle speed, N=400 rpmaxial feed, f=0.4 m/minradial depth of cut=5 mmchip th...

Q: Q1: Find the resultant force and the component force F for the system shown below (fig 1) using para...

Q: 82. A machine component made of a ductile material is subjected to a variable loading with omin =-50...

Q: Note that x = 0 at support A. When entering your answers, use the bending-moment sign convention det...

Q: A Carnot power cycle operates on 2 lb of air between the limits of 70°F and 500°F. The pressure at t...

Q: A shaft with an allowable shear stress of 102 MPa is subjected to a bending moment of 3,159 N-m and ...

Q: a steam 8.0 MPa and 485 degree Celsius enters the turbine and expand at condenser pressure of 0.006 ...

Q: Ratio of solidification time of a cylindrical casting (height = radius) to the cubic casting of side...

Q: Determine the diameter of a main power transmitting shaft in mm to transmit 114 kW at 430 rpm using ...

A: Assuming shear stress t=to be = 27.58 MPa = 4000 psi ( PSME shaft code for head shaft) Power = Torqu...

Q: The heat removal rate from the refrigerated space and the power input to the compressor are 9.0KW an...

A: Given Data QL=9 kW W= 1.8 kW

Q: A jet of water strikes a stationary curved plate at one end at an angle of 30°. The jet of 75 mm dia...

A: It is asymmetrical curved plate and water jet strikes at the one end of the plate. Write the given d...

Q: The Poisson's ratio of the roc

A: Given; Length,L=500 mmD=50mmForce, f=100kNIncreases in length=0.5 mmReduction in diameter=0.015 mm

Q: Determine the difference in pressure pA-pB between centers A and B of the closed pipes, which are fi...

A: Need to . Determine the difference in pressure pA-pB between centers A and B of the closed pipes

Q: 1. At 3MPA and 400C, 2 kg/s steam flows into a turbine. It exits at 300kPa. The turbine has an effic...

Q: At 3MPa and 400C, 2 kg/s steam flows into a turbine. It exits at 300kPa. The turbine has an efficien...

Q: A cylindrical bar of metal having a diameter of 20.0 mm and a length of 190 mm is deformed elastical...

Q: Find the moment of inertia of the area

A: 40) Need to find the MOI of the area.

Q: A 500-g collar can slide without friction along the semicircular rod BCD. The spring is of constant ...

Q: A six inch diameter cylinder with a two inch rod pushes out its full stroke of 20 inches in 1.5 seco...

A: Forward stroke Area : π462-22=25.13 in2 Volume : V=A×L=502.65 in3 Flow rate : Q=Vt=335.1 in3/s Press...

Q: an air-standard diesel cycle has a compression ratio of 18, and the heat transferred to the working ...

A: Given data as per question the compression ratio = 18 Heat addition =1800 kj/kg Initial temperature...

Q: A composite beam is fabricated by bolting two 2.9-in.-wide by 13-in.-deep timber planks to the sides...

Q: Determine the gage pressure in kPa at point "a", if the liquid A has a SG = 1.20 and liquid B has SG...

Q: A ball is shot vertically into the air at a velocity of 61 m/s. After 6 seconds, another ball is sho...

Q: P5.46 At a temperature of 15°C, a gap of A = 5 mm exists between the two polymer bars shown in the a...

Q: Draw the shear and moment diagram of the beam shown below.

Q: 6.17 A spacecraft is in a 300-km circular earth orbit. Calculate (a) The total delta-v required for ...

Concept explainers

Forced undamped vibrations

In mechanical engineering, vibration is expressed as the term that occurs due to an object's backward and forward movement about a point of equilibrium. Generally, there are three types of vibrations which are,

Question

Considering the figure shown,
determine the equivalent
spring constant of a spring that
will represent all of the given
springs such that its deflection
is along a vertical path with the
mass. k1=1N/m k2=2N/m
k3=3N/m k4=4N/m and
k5=5N/m. (answer in N/m) *
k2
m
kg
k4

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 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

A bumper for a mine car is constructed with a spring of stiffness k = 1120 lb/in. (see figure). If a car weighing 3450 lb is traveling at velocity v = 7 mph when it strikes the spring, what is the maximum shortening of the spring?
The inclined ladder AB supports a house painter (85 kg) at C and the weight iq = 40 K/m} of the ladder itself. Each ladder rail (t5= 4 mm) is supported by a shoe (ts= 5 mm) that is attached to the ladder rail by a bolt of diameter d = 8 mm
A 10-ft rigid bar AB is supported with a vertical translational spring at A and a pin at B. The bar is subjected to a linearly varying distributed load with maximum intensity q0. Calculate the vertical deform at ion of the spring if the spring constant is 4 kips/in.
A safety valve on the top of a tank containing steam under pressure p has a discharge hole of diameter d(see figure). The valve is designed to release the steam when the pressure reaches the value Pmax If the natural length of the spring, is L and its stiffness is k, what should be the dimension ft of the valve? (Express your result as a formula for h.)
Solve the preceding problem if the collar has mass M = 80 kg, the height h = 0.5 m, the length L = 3.0 m, the cross-sectional area A = 350mm2. and the modulus of elasticity E = 170 GPa.
The device shown in the figure consists of a prismatic rigid pointer ABC supported by a uniform translational spring of stiffness k = 950 N/m. The spring is positioned a distance P = 165 nun from the pinned end A of the pointer. The device is adjusted so that, when there is no load P, the pointer reads zero on the angular scale. (a) If the load P = 11 N, al what distance .v should the load be placed so that the pointer will read ?? = 2.5° on the scale (see figure part a)? (b) Repeal part (a) if a rotational spring E1= kb-6 is added al A (see figure part b). (c) Lel.x = 7b/8.What is P maxif 0 cannot exceed 2"? Include spring krin your analysis. (d) Now, if the weight of the pointer ABC is known to be W =3N and the weight or the spring is Ws= 2.75 N, what initial angular position (Left in degrees) of the pointer will result in a zero reading on the angular scale once the pointer is released from rest? Assume P = kr=0. (e) If the pointer is rotated lo a vertical position (see figure part c), find the required load P applied at mid-height of the pointer that will result in a pointer reading of 0 = 2.5" on the scale. Consider the weight of the pointer W. in your analysis.
A polyethylene tube (length L) has a cap that when installed compresses a spring (with under-formed length L1) by an amount ?? = (L1 = L). Ignore deformations of the cap and base. Use the force at the base of the spring as the redundant. Use numerical properties given in the boxes. (a) What is the resulting Force-in the spring, Fk? (b) What is the resulting Force in the tube, Ftl (c) What is the filial length of the tube, Lf? (d) What temperature change ?T inside the tube will result in zero force in the spring
The tensional pendulum shown in the figure consists of a horizontal circular disk of a mass M = 60 kg suspended by a vertical steel wire (G = SOGPa) of a length L = 2 m and diameter d = 4 mm. Calculate the maximum permissible angle of rotation <£m:ls of the disk (that is, the maximum amplitude of torsional vibrations) so that the stresses in the wire do not exceed 100 MPa in tension or 50 MPa in shear.
Two rigid bars are connected to each other by two linearly elastic springs. Before loads are applied, the lengths or the springs are such, that the bars are parallel and the springs are without stress. (a) Derive a formula for the displacement E4at point 4 when the load P is applied at joint 3 and moment PL is applied at joint 1. as shown in the figure part a. (Assume that the bars rotate through very small angles under the action of load P.) (b) Repeat part (a) if a rotational spring, kr= kL2, is now added at joint 6. What is the ratio of the deflection d4 in the figure part a to that in the figure part b ?
A block weighing W = 5.0 N drops inside a cylinder from a height h = 200 mm onto a spring having stiffness k = 90 N/m (see figure), (a) Determine the maximum shortening of the spring due to the impact and (b) determine the impact factor.
Solve the preceding problem for the following data: b = 8.0 in., k = 16 lb/in., a = 45°, and P = 10 lb.
Repeat Problem 11.2-3 assuming that R= 10 kN · m/rad and L = 2 m.