When a 2kg cylinder is suspended from a spring, the spring is stretched by a distance of 40 mm. What will be the natural frequency in Hz (use four decimal places) for aa 0.5 kg cylinder suspended from the same spring?

Q: A ship with metacentric height 0.36 m is cruising in sea. The Captain of the ship asked an engineer…

A: Given, Metacentric height = GM  = 0.36 m Radius of gyration = K = 0.9 m   Period of oscillation…

Q: k1 m1 Jo- k2 m2

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Q: QUESTION 2 Consider a two-degrees-of-freedom system shown below. k₁ woo kz oooo kz oooo m2 F2 What…

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Q: Problem 3) Given the period T = 1.2 day, find the frequency in Hz. Provide your answer in Hz to the…

A: Given data  Period = 1.2 day Find the frequency in Hz First convert period day to seconds.

Q: The mass of the passenger car is 1660 kg, of which 60% is on the front axle. At the front, the…

A: Given, Mass of passenger car,M=1660kg

Q: X A 1– D.o.F. system is given as shown. Find the equation of motion of the system in terms of the…

A: first of all making free body diagram of the given system , Now, according to newton law, sum of…

Q: higher or lower than that on the Earth lower than that on the Earth same as that on the Earth higher…

A: Given:

Q: An accelerometer indicates that the acceleration of a body is sinusoidal at a frequency of 8 Hz . If…

A: As per our guidelines we can answer only the fire question. Kindly post the remaining questions in…

Q: If a mass of 6 kg oscillates on a spring having a mass 3 kg and stiffness 11200 N/m, then the…

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Q: If the stiffness of the spring is increased to 16 times and mass is reduced to 1/4th times the…

A: Let us take, Original stiffness = k1 Original mass = m1 New stiffness = k2 New mass = m2   From the…

Q: A kid is plating on a swing and it takes approximately 2.5 seconds to reach on side coming from the…

A: Given dataTime taken for the kid plating on the swing to reach on side coming from the other T=…

Q: 1. A machine component of 2.25kg mass moves with SHM ,the amplitude being [Max disp 380mm.If it…

A: Given data with suitable variables is shown below. m=2.25 kgx0=380 mmN=120 cycles/minr=250 mm

Q: A vehicle wheel, tire, and suspension can be modeled as a SDOF spring and mass as depicted below:…

A: Vibrations: The back and forth motion of the body, when the body is displaced from the equilibrium…

Q: 1. The free-fixed rod ( length of 2 m, diameter of 0.5 mm, density of 300 kg/m') vibrates in…

A: E – the material Young's modulus, I – the moment of inertia, ρ – the material density, A – the area…

Q: Engineers can determine properties of a structure that is modeled as a damped spring oscillator,…

A: Given data: The mass of the oscillator is m=0.295 kg The frequency of the oscillator is f=22.6 Hz…

Q: ABOCD are five points, in that order, in a straight line AD. AO=OD. A particle moving with SHM along…

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Q: A block attached to a spring, oscillates on a frictionless horizontal surface with a period of 0.45…

A: Given: The time period, t = 0.45 S The initial amplitude, x = A The final amplitude, X = - A/2

Q: A spring is stretched (250mm) to the equilibrium position when attached to mass of 15 kg. If the…

A: Given m=15 kg δ=250 mm=0.25 m g=9.81 m/s2 Condition: xt=0=100 mm=0.1 mx˙t=0=150 mm/s=0.15 m/s

Q: musical string instrument, has a string with a linear mass density of 5 g/m, vibrating in its fifth…

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Q: A baby with a mass of 10.6 kg bounces up and down in his crib. The crib mattress behaves like a…

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Q: An automobile is found to have a natural frequency of 20 rad/s without passengers and 17.32 rad/s…

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Q: 1. A spring extends 2 inches when loaded vertically with 4 lbs. This weight was pulled further down…

A: According to the given information, we have a length of pully is 3inces =0.25ft weight of the loaded…

Q: the natural frequency in HZ for the system below if the weight 13.266 N and spring constant 80N/m is…

A: Given data: W=13.266 Nk=80 N/m Need to determine the natural frequency of the system.

Q: QUESTION 4 Consider a 2 DOF system shown below. k₁ k₂ non m2 F₁ F kz Find the second natural…

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Q: An electrical switch gear is supported by a crane through a steel cable of length 4 m and diameter…

A: Given data: L=4 md=0.01 mT=0.01 s Need to determine the stiffness of the cable.

Q: Choose correct answer: The number of oscillation per second is frequency. Select one: True False

A: The number of oscillation per second is frequency. Answer: True

Q: A mass of 21.5 kg is vibrating freely at the end of 3 springs connected in parallel. The spring…

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Q: Consider a spring-damper vibration isolation system for a microscope of mass M (shown). harmonic…

A: As there is no any isolation so by decreasing the eccentricity transmitted force get reduced

Q: A car has a natural frequency of 20 m/s without passengers, when there are passengers inside it has…

A: Natural frequency of car without passenger is given by, ωn=km rad/sec where, k = stiffness of car…

Q: The string of a piano is made of music wire. The wire has a mass of 150 grams and a length of 1.5 m.…

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Q: )find the foequency of motion. amplitude, pesiod f

A: Given Data: The weight attached to the spring is W = 3 N. The stretch of the spring corresponding…

Q: 3. For the following functions determine the period, frequency in Hertz and circular frequency in…

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Q: QI/ Determine the magnitude and direction of a force (P), if the horizontal and vertical components…

A: Given Data  Px=30 N Py=50 N

Q: You are designing a spring-damper vibration isolation system for a microscope (shown). Wn is a…

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Q: Given mass1=10kg Jo=20kg-m2 mass2=15kg, a is half of b. The rocker is 30 centimeters long. k1=10N/m,…

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