Consider the following unforced, underdamped, spring system.The spring has a damping constant of 2.After a 1 kg mass is attached to the spring, it stretches 0.9800m.From this equalibrium position, you pull the spring downward1.00 m from equalibrium.Then you release the spring with an additional upward velocityof 21 m/s.Calculate the maximum displacement from equalibrium over thesubsequent oscillations.Round your answer to two places, i.e. 3.25.YEquilibrium mg = kr

mass of the body, m=1 Kg equilibrium length of the string, L=0.98 m Final length of the string,…

Answered: Consider the following unforced,…

Similar questions

A spring oscillator is designed with a mass of 0.288 kg. It operates while immersed in a damping fluid, selected so that the oscillation amplitude decreases to 1.00% of its initial value in 7.55 s. Determine the damping coefficient b of the system. Assume that the system is underdamped. b = kg/s
The suspension system of a 2100 kg automobile "sags" 7.0 cm when the chassis is placed on it. Also, the oscillation amplitude decreases by 45% each cycle. Estimate the values of (a) the spring constant k and (b) the damping constant b for the spring and shock absorber system of one wheel, assuming each wheel supports 525 kg. (a) Number (b) Number 73500 Units N/m Units kg/s 4
a) Use energy conservation to find the amplitude of the motion. b) Use energy conservation to find the maximum speed of the glider. c) What is the angular frequency of the oscillations? (express in rad/s)
An object with mass 0.150 kg is acted on by an elastic restoring force with force constant 10.8 N/m. The object is set into oscillation with an initial potential energy of 0.150 J and an initial kinetic energy of 6.00×10−2 J. What is the value of the phase angle ϕ if the initial velocity is positive and the initial displacement is negative?
a particle of mass m makes simple harmonic motion with force constant k around the equilibrium position x = 0. Calculate the valu of the amplitude and the phase constant if the initial conditions are x(0) = 0 and v(0) = -Vi (vi > 0). Draw x-t, v - t and a - t figures for one complete cycle of oscillations.
A block of mass (3 kg) lays on a frictionless plane and is attached to a horizontal spring with a spring constant (8 N/m). The spring is attached to a nearby vertical wall. The minimum distance of the block from the wall during its oscillations is 0.8 m. The maximum distance of the block from the wall during its oscillations is 1.2 m. If we start a stopwatch (t = 0) when the block is at its closest point to the vertical wall, how far the block from the wall after a time t = 5/4 T? A=0.2 m V= 0.326 T= 0.383s
A 2-kg mass is attached to a spring with stiffness 56 N/m. The damping constant for the system is 8√√7 N-sec/m. If the mass is pulled 10 cm to the right of equilibrium and given an initial rightward velocity of 4 m/sec, what is the maximum displacement from equilibrium that it will attain?
The springs of a 1600-kg car compress 4.70 mm when its 66.0-kg driver gets into the driver's seat. If the car goes over a bump, what will be the frequency of oscillations? Ignore damping. Express your answer using three significant figures. ΜΕ ΑΣΦ f= ? Hz
A 3-kg mass is attached to a spring with stiffness 60 N/m. The damping constant for the system is 12√5 N-sec/m. If the mass is pulled 20 cm to the right of equilibrium and given an initial rightward velocity of 4 m/sec, what is the maximum displacement from equilibrium that it will attain?
At an outdoor market, a bunch of bananas attached to the bottom of a vertical spring of force constant 16.0 N/m is set into oscillatory motion with an amplitude of 20.0 cm. It is observed that the maximum speed of the bunch of bananas is 40.0 cm/s. What is the weight of the bananas in newtons?
Michelle pulls a slinky a distance of 13 inches from its equilibrium position and then releases it. The time for one oscillation is 2 seconds. Step 2 of 2 : Find the function in terms of t for the displacement of the slinky. Assume that the slinky is at its maximum displacement at t=0. Also assume that the function includes no horizontal or vertical shifts.
The suspension system of a 2200 kg car is made of springs that are compresses by 8 cm when the mass of the car is placed on it. Also, the collision amplitude decreases by 50% each cycle. Find the damping constant 6 (in units of kg/s) for the spring and shock absorber system of one wheel, assuming each wheel supports 550 kg. 134

SEE MORE QUESTIONS