A cylinder of weight W and radius r is suspended from a looped cord as shown. One end of the cord is attached directly to a rigid support, while the other end is attahced to a spring of constant k. Determine the natural circular frequency and period of the vibration of the cylinder.

Q: Determine the acceleration of the system and the tension in each cable. The inclined plane is smooth…

A:

Q: Q1 A compound shaft consists of two pipe segments. Segment (1) has an outside diameter of 220 mm and…

A: Given data  TB= 40 kN-m and Tc= 12 kN-m Find the maximum shear stress in each segment

Q: Using the required values from any typical centrifugal pump shaft, work out shear stress and angular…

A:

Q: An air stream containing water vapor flows over a cold container and water condenses at the bottom…

A: The mole fraction of water vapor and air will vary with the height from the water level due to the…

Q: Elaborate and explain the piping equipments in cryogenic plant including the pipes and fittings,…

A: According to the question we explain the piping equipments in cryogenic plant including the pipes…

Q: SAE 50 oil flows at 3 m/s between 0.25 m-long parallel plates spaced 3 mm apart. If the plates are…

A:

Q: Problem #1: Helium gas flows through a well-insulated nozzle at steady state. The temperature and…

A:

Q: (a) Knowing a particle's density pp and its settling velocity v₁, show how to deter- mine its…

A:

Q: A thin, triangular plate ABC is uniformly deformed into a shape ABC', as shown by the dashed lines…

A:

Q: Draw shear and moment diagram. Note: the support reactions have been provided. 2 kN MA M Ang Ay -1.5…

A:

Q: 1.  x = Mass 20.15 (g) calculate iinto (kg).  ;  weight  = 0.21 (N).   2.  Mass  = 45.83 (g)…

A: To convert mass from grams to kilograms, we need to divide by 1000: 1. Mass = 20.15 g = 20.15/1000…

Q: Problem 2: The figure below shows two reservoirs containing water. The water in the upper reservoir…

A: Given: d=5 inL=150 ftQ=5 L/s Here, d is the diameter of pipe L is the length of the commercial steel…

Q: Four wooden dowels with a diameter of 30mm are attached to a board. Two ropes pass around the…

A: Given data  Diameter = 30mm Force P= 110N and Q= 189N Find the resulting torque

Q: An ideal gas contained in a piston-and-cylinder device undergoes a thermodynamic cycle made up of…

A: Given Data: Pressure at 1, P1 = 9.35 atm The temperature at 1, T1 = 330 K Pressure at 2, P2 =12.58…

Q: At the instant shown, the bicyclist at A is traveling at 7 m/s around the curve on the race track…

A: Write the given data. vA= 7 m/s(aA)t=0.5 m/s2vB=8.5 m/saB= 0.7 m/s2ρ=50 m

Q: Determine the moment resulting in 0 exerted by the pair of forces F and –F. b) What must be the…

A: Given: a) Determine the moment resulting at O, exerted by the pair of forces F and –F. b) What must…

Q: Consider sampling input cosine functions, with a sample rate of 100Hz. (a) What is Nyquist Frequency…

A: To Find : a) The Nyquist Frequency in Hz. b) The period associated with Nyquist Frequency. c) During…

Q: Please keep it in terms of a fraction. It will not take it as a decimal.   PLEASE ANSWER ONLY…

A:

Q: The intensity of the sound coming from a piece of machinery was measured 1.2 m from the machine and…

A: “Since you have posted multiple questions, we will provide the solutiononly to the first question as…

Q: Required information A steel bar of thickness h, to be used as a beam, is welded to a vertical…

A:

Q: According to the Sign Convention in our textbook, the normal stress τxy in the stress element shown…

A: According to the Sign Convention We need to find The normal stress τxy in the stress element shown…

Q: When design for a cyclic load, if in one case, the designed reliability is 0.99, what is the…

A: When designing for a cyclic load, the textbook recommends using a reliability factor that is lower…

Q: 4. A gas is initially at an absolute pressure of 400 kPa. What is its final absolute pressure if its…

A: Given data: ▪︎The initial absolute pressure of the gas: P1 = 400 kPa ▪︎The final volume is doubled…

Q: 20 Determine the internal normal force, shear force, and moment at point C. 48 Lx 8 kN/m mmm.. 3m…

A:

Q: Given the model * – (μ + 2)x + (2μ + 5)x = 0 b. For the stable case, for what values of µ is the…

A:

Q: A convergent-divergent operating isentropically. nozzle has an exit Mach number of 1.8 when If the…

A:

Q: 3. A 10-ft diameter by 15 ft height vertical tank is receiving water (p = 62.11b/ft3) at the rate of…

A: GivenD=10ftH=15 ftρ=62.11 lb/ft3Q˙in=300 gpm=0.668403 ft3/sd=6 in =612ft =0.5 ftV=5fps=5 ft/s…

Q: 4. A refrigerating plant having R-12 as the working fluid, comprises three evaporators of 10 TR at…

A: DISCLAIMER FOR MULTIPLE Since you have asked multiple question, we will solve the first question for…

Q: . (a) Verify that Eijm² klm = ðik³¡¡—ð¡l³jk By contracting the result of part (a) show that (b)…

A: This question is from tensor notation.  First we have to know the property of kronecher delta and…

Q: The rolling motion of the circle with a zero moss is defined by a V-1.2m.s at the Center of the…

A: Given data : v=1.2m/sd=12m It is required to determine the angular velocity of the roller.

Q: Problem Diesel Cycle 9-59 A six-cylinder, four-stroke, 4.5-L compression-ignition engine operates on…

A: “Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: Solution please, should correct determine the rate of heat loss of this cylindrical fin, where there…

A: GivenL=0.5mR=0.02mk=400 W/mKh=10 W/m2KTa=298KTo=773K the rate of heat loss of this cylindrical fin…

Q: A block of mass 1.60 kg is accelerated across a rough surface by a light cord passing over a small…

A: Givenm=1.60 kgT=10Nh=0.100mμk=0.310

Q: For the stress element below, when a = 6, b = 6, and c = 6, the principal stress σ₁ is: b MPa с MPa…

A:

Q: 5 Discussion 1-What is the DM? 2-How to reduce the slop over load? 3-What an optimum step can be…

A: DM stands for Delta Modulation. It is a type of analog-to-digital conversion technique where the…

Q: The ball is thrown off the top of the 55-ft tall building. If the initial velocity V, is 57 ft/s and…

A:

Q: 1. In the figure below find the net torque Lever arm A 80 cm 25 N 25° 90° 20 N 10 N

A: This question is based on the concept of torque from Mechanics.

Q: Only the answers have been essentailly provided. I need the process to understand the problem to be…

A: The stresses at the 60° (counterclockwise) is obtained as:…

Q: ard Carnot cycle operates between temperatures of 300 and 1100 K. The mini- pressure in the cycle is…

A:

Q: Problem 7: Answer the following conceptual questions: (No calculations necessary) a. What are two of…

A: a. Two benefits of using quaternions when simulating systems are: Quaternions do not suffer from…

Q: why have you writen the answers in mm. when all the length are in meters

A:

Q: why the number of disk is 17-1?

A: Given data:- Number of disc in one shaft (n1)=8 discs Number of disc in another shaft (n2)=9 discs…

Q: Suppose we have 32.04g of water into which heat is transferred. If the initial temperature was 13.09…

A: Givenmass of water m=32.04ginitial temperature T1=13.09oCfinal temperature T2=68.25oC

Q: For the simply supported steel beam shown, determine the mid-span deflection and slope at both ends…

A: F=95 kNL=7 mL2=5.25 mq=76 kN/m

Q: Oxygen gas (MW = 32 kg kmol 10 kg and occupies V = 9.6945 m³. Note: Runiversal = 8.314 statements…

A: Givenoxyge gas Molar weight =32 kg/k molTemperature T=100oCpressure P=100kPamass m=10kgvolume…

Q: P2-32) Given two complete views, sketch in the missing view. P

A: Given: Sketch the missing view.

Q: A Determine the force in each member of the truss. State if the member is in tension or compression.…

A:

Q: Calculate the polar moment of inertia of an H-section (W 150 x 30) with respect to a z axis passing…

A:

Q: Calculate the axial deformation of a 1” round steel bar, 1 foot long of material, C1045, when it is…

A: Given: Diameter (d) = 1 inch = 0.0254 m            Length (L) = 1 foot = 0.3048 m            Force…

Q: In what percentage is the flow that carries a wide rectangular channel reduced if its very thin…

A: According to the question We need to explain The flow rate for the above case

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,