Q 03: a 10kg mass is attached to a spring having the spring constant of 140N/m. The mass is started in motion from equilibrium position with an initial velocity of 1m/s in the upward direction and with an external force F (t) = 5 sin t FORM the model/governing ODE and the subsequent motion of the mass if the force due to air resistance is -90v N.

Q: The motion of a particle connected to a spring is described by x= (10m) sin (ñt). At what position…

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Q: A 10.2 gram mass is attached to an ideal spring with a spring constant 30 N/m. The mass is displaced…

A: At equilibrium,

Q: A spring (k = 61.5 N/m) hangs vertically with its top end fixed. A mass attached to the bottom of…

A: Spring constant,

Q: A spring hangs vertically with one end attached to a suspension point. A mass of 0.68 kg is attached…

A: Mass attached= 0.68Kg Spring Constant, k=128 N/m     OBJECTIVE- To find frequency of mass+spring…

Q: A copper wire 2.5 mm in diameter is 4 m long and is used to suspend a 2.0 kg mass from a beam. If a…

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Q: An astronaut sets up a pendulum on the Moon, where the acceleration due to gravity is 1/6 that of…

A: Calculate the acceleration due to gravity on the Moon. g'=16g=16×9.81 m/s2=1.635 m/s2 Here, g' and g…

Q: A 0.50 kg mass is attached to a light spring with a force constant of 38.9 N/m and set into…

A: Given:m=0.50 kgk=38.9 N/mA=5 cm=0.05 mThe expression of velocity of an object in SHM is given…

Q: A 7 kg object is hung from the bottom end of a vertical spring fastened to an overhead beam.The…

A: Mass of object m=7 kg Period of oscillation T=2.60 s Let force constant of the spring= k

Q: *A 5 kg mass m is attached to a spring and allowed to hang in the Earth's gravitational field. The…

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Q: A 0.56 kg mass is attached to a light spring with a force constant of 41.9 N/m and set into…

A: Given, Mass,m=0.56 kg Spring constant,k=41.9 N/m Amplitude,A=5 cm=0.05 m

Q: A horizontal spring-mass system consists of a spring and a weight attached to the end of it. The…

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Q: Calculate the period of oscillation of Ψ(x) for a particle of mass 1.67 x 10^-27 kg in the first…

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Q: A cord is connected to a vibrating machine which has a frequency of 120 Hz. The linear mass density…

A: v=Fμ=5 kg10 m/s20.05 kg/m=31.6 m/s

Q: What is the radius of a drum membrane held under a tension of 3990 N if the required frequency is…

A: Given: Tension on the string, T = 3990 N Frequency required, f = 440 Hz Area density, s = 0.01 kg/m…

Q: At t = 0 a block with mass M = 4 kg moves with a velocity v = 3 m/s at position x, = -.33 m from the…

A: Given that:Mass of the block, M=4 kgInitial velocity, v= 3 m/sInitial displacement, xo=-0.33 mSpring…

Q: A copper wire 2.5 mm in diameter is 4 m long and is used to suspend a 2.0 kg mass from a beam. If a…

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Q: A spring hangs from the ceiling with an unstretched length of xo = 0.61 m. A m = 7.1 kg block is…

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Q: A block whose mass m is 680 g is fastened to a spring whose spring constant is 65 N/m. The block is…

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Q: spring with a stiffness of 300 N/m is connected to a 15 kg mass. A displacement of 60 cm to the…

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Q: A 0.92 kg mass is resting on a frictionless flat plane and is attached to a spring with spring…

A: Given Data: The magnitude of mass is: m=0.92 kg The spring constant is: k=350 N/m The displacement…

Q: A 1.8 kg mass attached to a horizontal spring  oscillates at a frequency of 2.1 Hz. At t =0 s, the…

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Q: In the following exercises assume that there's no damping.

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Q: The phenomenon of damping results in decrease in a.Frequency b.Velocity c.Amplitude d.Wavelength The…

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Q: After landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 46.0…

A: Write the given values with the suitable variables. l=46 cm=0.46 mn=98t=145 s Here, l is the length,…

Q: In Hook's Law experiment, a student noticed that the spring is oscillating 10 oscillations in 3.1 s…

A: The spring constant is measure of the stiffness of the spring. Higher the spring constant stiffer…

Q: A copper wire 2.5 mm in diameter is 4 m long and is used to suspend a 2.0 kg mass from a beam. If a…

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Q: .A pendulum has a string of length 0.25 meters supporting it. Beside it is a mass connected to a…

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Q: A cord is connected to a vibrating machine which has a frequency of 120 Hz. The linear mass density…

A: Given : Frequency (f) = 120 Hz Linear mass density (µ) = 0.05 kg/m Mass (m) = 5 kg g = 10 N/kg…

Q: A building in San Francisco has light fixtures consisting of small 2.35 kg bulbs with shades hanging…

A: The time period of the string can be given by T=2πLg

Q: A block of mass m = 0.5 kg is attached to a horizontal spring whose spring constant is k = 50 N/m.…

A: m=0.5 kg k=50N/m In a spring mass system : ω=km ω=500.5 = 10 sec-1   Now we are also given at t=0.1…

Q: With simple harmonic motion, the reciprocal of the period is called the frequency. The frequency,…

A: Given : V = 210 sin(100πt)

Q: A spring with a mass of 10 kg has natural length 1 m. A force of 30 N is required to maintain it…

A: we have 1) F=kx⇒k=Fx=301.5=20 N/m

Q: A string has length 2.0 m, tension 60 N, and linear density 0.080 kg/m. The left end of the string…

A: Given:- A string has length L= 2.0 m  The tension T = 60 N  The linear density 0.080  kg/m  The ring…

Q: a 0.30 kg mass is suspended from a massless spring, the spring stretches a distance of 2.0 cm. Let…

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Q: A 0.20 kg mass on a horizontal spring is pulled back a certain distance and released. The maximum…

A: Given, Mass, m1=0.2 kg and m2=0.4 kg Maximum speed, (vmax)1=0.28 m/s Then, 12m1(vmax)12=12m2(vmax)22…

Q: A 0.48-kg object connected to a light spring with a force constant of 22.8 N/m oscillates on a…

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Q: A pendulum is made by tying a 580 gg ball to a 52.0 cmcm -long string. The pendulum is pulled 22.0…

A: Total energy of system remain constant .

Q: An object is placed on a vertical spring. You compress the spring and the release, sending the…

A: Detailed solution of this question is given in below steps.

Q: speed of the mass when it is 1.00 cm above the point from which it was released

A: All steps with final solution is below

Q: A 1.00-kg mass is attached to a spring hanging vertically and hangs at rest in the equilibrium…

A: Given Mass m = 1 kg Spring constant = k = 1 N/ cm = 1/ 10-2  N/m = 100N/m Amplitude = maximum…

Q: The mass is 300 grams (0.3 kg). The spring has a stiffness given by the constant K = 200…

A: Given : spring constant, k = 200 N/m mass, m = 300 gram = 0.3 kg  Initial elongation in spring, xm =…

Q: The position of a mass oscillating on a spring is given by x = (7.4 cm)cos[2(pi)t/(0.72s)]. What is…

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Q: A spring (k = 75 N/m) has an equilibrium length of 1.00 meter. The spring is compressed to a length…

A: at highest point the spring energy will be converted into potential energy hence…

Q: A mass mm at the end of a spring oscillates with a frequency of 0.86 HzHz . When an additional 780…

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Q: 23. A spring has a natural length of 20cm. The upper end of the spring is hooked on a nail. The…

A: Elongation, x = 25 cm - 20 cm = 5 cm = 0.05 m Mass, m = 2 kg Acceleration due to gravity, g = 9.8…

Q: A mass of 'M' is attached to a spring whose upper end is fixed. The mass and stiffness of the spring…

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Q: m. A single mass m, = 3.3 kg hangs from a spring in a motionless elevator. The spring is extended x…

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