Consider a second order system given by 10 d²x(t)/df² + 6 dx(t)/dt + 42 x(t) = 4 cost. What is the natural frequency in rad/s? Do not include units. Write your answer in scientific notation using 3 significant figures. (eg. 1.23e1)
Q: The equation of state of an ideal gas describes the relationship between its pressure p, volume V,…
A: Given, PV=nRT Required: Dimension of R.
Q: A cyclist intends to cycle up a 6.0 ⚫ hill whose vertical height is 120 m. The pedals turn in a…
A: Step 1:Step 2:
Q: e plate B has the mass mg. Neglect the mass of the roj se the coefficients of kinetic friction…
A:
Q: Draw by hand the crystal planes (110) (111) (101) for the body-centered cubic system and the…
A: Concept Used:The smallest repeating unit in a crystal structure is called a unit cell. The following…
Q: Please do not submit previous solution i need the correct answer. Read the question carefully
A: Step 1: Step 2: Step 3: Step 4:
Q: 3.3. The velocities at a point in a fluid in the Eulerian system are given by ux+y+z+s =2(x + y + z)…
A: Please Rate if this solution helps youThank You
Q: A schematic of the flow pr around the vehicle is shown. To optimize the design of the top of the…
A:
Q: Determine the moments of inertia about the centroid of the shape. 100 mm 50 mm 50 mm 100 mm 60 mm 50…
A:
Q: Link AB has the angular velocity wAB = 4 rad/s and angular acceleration AB = 5 rad/s² (Figure 1)…
A: Step 1: We have angular velocity of link AB ωAB=4rad/s CW, angular acceleration of link AB…
Q: ready to move. Pick a mass of the object and one type of surface and record them. Mass (M) Surface…
A: The image you sent appears to be a lab instruction that deals with static friction.The text in the…
Q: Q2/ Find the Stress Concentration in Plate as shown in figure (4) Ex 200 GPa Ey-180 GP 1,03 11 7315…
A: Write the given data by using the above digram.
Q: Determine the transfer function G(s) 82(5) = for the gearing system as shown. T(S)
A: Write the given data by using the diagram.
Q: For the frame shown, E = 30x106 psi, A = 8 in², and I = 800 in for all elements. Determine (1) the…
A:
Q: A gas with flow rate of 100 MMSCFD of needs to be compressed from 800 to 8,000 psia. The inlet…
A:
Q: A car with mass 1600 kg and negligible aerodynamics is braking on an asphalt with global…
A: Step 1: To find the maximum possible deceleration of the car, we can use Newton's second law, which…
Q: Provide final answer and equations used.
A:
Q: The accelerometer installed on a car reads ax = 3 m/s² and ay = 2 m/s². If u=18 m/s and v=2 m/s,…
A:
Q: A prismatic bar is supported between two rigid supports as shown in figure. The support reaction…
A: Lets consider the reaction force at A and B point in horizontal direction.If we receive reaction…
Q: Explain, with sketches, a speed reduction of 7.5:1 using (a) Simple gear train and (b) Compound gear…
A: Given:To find:Explain, with sketches, a speed reduction of 7.5:1 usingSimple gear train and Compound…
Q: 45kN T Figure below gives the S.F.D. for a 1.25m 3m 0.75m B 15kN Cantilever beam ◎ Simply supported…
A: From analyzation of given Shear Force Diagram ( SFD ), both ends indicate the vertical reactions at…
Q: Determine homogeneous equation by applying Leibnitz Mclaurin method xy"+y'+2xy=1 show all working
A: xu′′v+u′v(2x+1)+uv(3x)+xuv′′=0This is the homogeneous equation obtained by applying the…
Q: compressible fluid flows steadily in the entrance region of dius R = 75 mm. The flow rate is Q = 0.1…
A:
Q: a) A turbine connected to an electric generator through a gearbox can be modelled as illustrated in…
A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…
Q: please answer and explain
A: Option 2 is correctExplanation:
Q: The inner and outer surface temperatures of a 1-D slab of material, with a thickness of 4.2 inches,…
A: Please see the attached image for the solution.If there are queries, please do not hesitate to ask.…
Q: A dryer is to deliver 1000 kg/hr of cassava with 2% moisture and 20% moisture in the feed. Determine…
A: Here is my handwritten solution:Step 1: Draw a simple process diagram. A dryer has four streams. Two…
Q: Construct the shear and moment diagrams for the loaded beam shown. After you have the diagrams,…
A:
Q: A long tube with cross sectional area 0.468m2 and height 7.27m is standing vertically and filled…
A: Given:The cross-sectional area of the tube, The height of the tube, The density of the fluid added,…
Q: A water main with diameter 8 in and length of 880 ft is laid 40 ft uphill to residential apartments.…
A: Given:Diameter of the pipe, d = 8 in = 0.2032 mLength of the pipe, l= 880 ft = 268.224 mHeight…
Q: While discussing EGR systems with a differential pressure feedback EGR (DPFE) sensor, Technician A…
A: Technician A's statement is incorrect because the DPFE sensor measures the pressure difference…
Q: The rectangular beam shown is made of a plastic for which the value of the modulus of elasticity in…
A:
Q: An 8-foot wide rectangular channel carries 200 cubic feet per second of water at a depth of 1.5 feet…
A: we can analyze this step-by-step to determine the downstream water depth after the hydraulic…
Q: Consider a second order system given by 7 d²x(t)/dt² + 3 dx(t)/dt + 24 x(t) = t. What is the damping…
A: Step 1: The equation of motion7dt2d2x+3dtdx+24x=0dt2d2x+73dtdx+724x=0 Step 2: Comparing with…
Q: What is Ice Powered Air Conditioning?
A: Ice-powered air conditioning systems work by creating ice during periods of low energy demand,…
Q: Question 6 [3/151]: The tow truck with attached 1200-kg car accelerates uniformly from 30 km/h to 70…
A: Analyzing the System:The diagram shows a tow truck towing a car with a tow cable. The car is being…
Q: Calculate the angular velocity w of link OA at the instant when = 43° as shown, in
A: Here, is crank radius (link OA). is crank angular velocity, is crank angle. is length of…
Q: Question 2 (35 marks): A company has a project to complete. To complete the project, the following…
A: To draw the Project Diagram/Network (15 pts) and develop a Linear Program (20 pts) for computing the…
Q: QUESTION 1 What is the unit of density in the SI unit system? A. Kilogram per cubic metre (kg/m³) B.…
A: The objective of the question is to identify the correct unit of density in the SI (International…
Q: During coastdown testing of a family passenger car, the following road load drag force…
A: Step 1: Based on the information provided in the table, the most suitable engine for the family…
Q: Q12/ An electric motor drive an exhaust fan through an open belt drive. Following data are provided:…
A:
Q: Pravinbhai
A: The objective of the question is to determine the maximum length of a post that can support a given…
Q: Q1. Describe the following modes of failure associated with gear teeth, indicating their causes and…
A: Details about the prevention of1) tooth breakage of gear and 2) surface damage of teeth
Q: For the beam and loading shown, design the cross section of the beam, knowing that the grade of…
A:
Q: 16
A: The objective of the question is to determine the nodal displacements and rotation at node 4 and the…
Q: Sut A material has the following properties: 400 MPa and n = 0.25. Calculate its strength…
A: To findCalculate the strength coefficient, K.GivenUltimate strength, Strain hardening exponent,
Q: The surface layer consists of isothermal water down to 100 m followed by a steep negative…
A: To calculate the range beyond which the submarine can try to hide from a surface sonar, we need to…
Q: Consider the 1D FE problem of linear-elastic spring system shown in Fig Q1(c). Springs are capable…
A: Element-A:Element A connects nodes 1 and 2.Consider the displacements of nodes 1 and 2 as .Write…
Q: Needs Complete solution with 100 % accuracy. Don't use chat gpt or ai i definitely upvote you. Be…
A: Step 1:Step 2:Step 3:
Q: 2. What is the entropy change of the water, the oven and the universe (in kJ/K) when 1 kg of liquid…
A:
Q: The 1-lb ball A is thrown so that when it strikes the 10-lb block B it is traveling horizontally at…
A: Step 1:Step 2:
Step by step
Solved in 2 steps with 1 images
- The response of a certain dynamic system is given by: x(t)=0.003 cos(30t) +0.004 sin(30r) m (5Mks) Determino: (i) the amplitude of motion. (2Mks) (ii) the period of motion. (in) the linear frequency in Hz. (4) the angular frequency in rad/s. (2Mks) (2Mks) (2Mks) (2Mks) (v) the frequency in cpm. (vi) the phase angle. (2Mks) (vii) the response of the system in the form of x(t) = X sin(t +$) m.An object attached to a spring undergoes simple harmonic motion modeled by the differential equation d²x = 0 where x (t) is the displacement of the mass (relative to equilibrium) at time t, m is the mass of the object, and k is the spring constant. A mass of 3 kilograms stretches the spring 0.2 meters. dt² Use this information to find the spring constant. (Use g = 9.8 meters/second²) m k = + kx The previous mass is detached from the spring and a mass of 17 kilograms is attached. This mass is displaced 0.45 meters below equilibrium and then launched with an initial velocity of 2 meters/second. Write the equation of motion in the form x(t) = c₁ cos(wt) + c₂ sin(wt). Do not leave unknown constants in your equation. x(t) = Rewrite the equation of motion in the form ä(t) = A sin(wt + ), where 0 ≤ ¢ < 2π. Do not leave unknown constants in your equation. x(t) =16:55 M O X * 16% £ Jihad Harfosh 20 minutes ago In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, O"max, to the maximum angular velocity, O'max, is rt s^(-1). What is the time needed for the pendulum to complete one-half ocillation? 4 sec 0.5 sec 1 sec 2 sec 0.25 sec く
- A single degree-of-freedom linear elastic structure was subjected to a series of harmonic excitations, one at a time. The excitations had the same forcing magnitude but different forcing frequency. Forcing frequencies and observed peak steady-state displacements are shown in the graph below. Find the natural period and damping ratio of the structure. Displacement (mm) 60 50 40 30 20 10 0 0 1 2 . 3 4 Forcing frequency, f [Hz] 5 4. 6 7Ym max please simplify this equestion: [V z t Eq 12 E₂h. E₂ KbAT (2₁-d₂ ) ( h, the 2 (E₂h + E₂ k) BY + [(1 ² + 2) +- 17) (26) -K) bh. bh³ v ļ S + nbk³ 12 paty) ppl 8 D 10943 + ¥(pl + niger) N my t - 2 k√) (nbk]] ppt होप) g at & pet -17 (PMQuestion 3 Find the natural frequency (in rad/sec) of the system in In the figure below: Use: m1= 5 kg, k1 = 53 N/m, k2 65 N/m and k3 18 N/m Write your answer to FOUR significant figures. Don't write the units X1 X2 k1 k2 k3 W ww m1
- Find expressions for the coefficients an and bn for a plucked 50 cm string fixed at the ends with initial velocity 10 m/s at the midpoint. A an = (-1)"80/[(nn)2], b = (-1)"80/[w₁(nπ{(2n+1)π² B C D an = 0, b2n=+1 = (-1)2n+180/[wn{(2n+1)m}² a2n+1 = -(-1)2n+180/[(2n+1)}²], b₁ = 0 an = 0, bn = (-1)^80/[w,(nn)²](b) An object is vibrating with simple harmonic motion (SHM), x(t) = A sinøt of amplitude, A = 15 cm and frequency, f=2 Hz. [Sebuah objek yang bergetar dengan gerakan harmonik mudah, x(t) = A sinot yang amplitud A = 15 cm dan frekuensi, f = 2 Hz.] (i) Determine maximum acceleration and maximum velocity of the vibrating object. [Tentukan pecutan maksimum and halaju maksimum untuk objek bergetar tersebut.] (ii) Calculate the acceleration and velocity for the displacement vibrating object, x(1) = 12 cm. [Kirakan pecutan dan halaju bagi sesaran objek bergetar, x(t) = 12 cm.]The equation of motion of a particle in simple harmonic motion is given by: x(t) = 0.3cos(wt), where x is in meters and t is in seconds. At x = 0, the particle's velocity is v = -1.256 m/s. The period of oscillation, T, equals: 1 sec O 0.25 sec O 1.5 sec O 3 sec O 0.5 sec A musical note on a piano has a frequency of 31 Hz. If the tension in the 2-m
- The one-dimensional harmonic oscillator has the Lagrangian L = mx˙2 − kx2/2. Suppose you did not know the solution of the motion, but realized that the motion must be periodic and therefore could be described by a Fourier series of the form x(t) =∑j=0 aj cos jωt, (taking t = 0 at a turning point) where ω is the (unknown) angular frequency of the motion. This representation for x(t) defines many_parameter path for the system point in configuration space. Consider the action integral I for two points t1 and t2 separated by the period T = 2π/ω. Show that with this form for the system path, I is an extremum for nonvanishing x only if aj = 0, for j ≠ 1, and only if ω2 = k/m.Tp = Fq +°P/Q• (1) Here ip/Q is the "position of point P relative to point Q." Similarly the velocities of the two points are related by õp = bq + Up/Q- (2) The quantity õp/Q is the velocity of point P relative to point Q. I want you to use these ideas to solve the following problems. 1. The figure below shows a view from above of a large boat in the middle of the ocean. So that the crew on the ship can get exercise on long journeys, there is a circular walking/running track on the back deck. CA B- -D Suppose that the radius of the track is R = 6 m, and a person is running on the track at a constant speed of v = 3m/s as measured with a stopwatch by a crew-mate on board the ship. Suppose the runner is running counter-clockwise around the track when viewed from above. Write the velocity vector of the runner in terms of basis (ê1, ê2) as perceived by a crew-mate on the ship. (a) What is the velocity vector when the runner is at point A? (b) What is the velocity vector when the runner is…Fit a power law model to the rheological behavior presented in the data: T [=]D/cm^2 y[=]1/2 1 3 2 - 3 30 4 52 5 80 6 100 7 130 8 160 9 175 10 190 11 218 12 240 13 265 (The second data in the table is not necessary to solve it.)Help yourself with matlab to solve it with the following formula: (Photo)