A 96 lb weight streches a spring 3.2ft inequilibrium. It is attached to a dashpotwith damping constant of 18-lb-sec/ft.The weight is initially displaced 15 inchesbelow equilibrium and given adownward velocity of 12ft/sec.1.) What is the natural frequency ofthe mass and spring in hertz?2.) What is the critical dampingcoefficient in Ib-sec/ft?3.) When in seconds the objectreached maximum displacement?4.) What is the damping condition?

Given:weight of the blovk, W = 96 lbmass of the block, m = Wg = 9632 = 3 kgstretch at equillibrium,…

Answered: A 96 Ib weight streches a spring 3.2ft…

A 96 Ib weight streches a spring 3.2ft in equilibrium. It is attached to a dashpot with damping constant of 18-lb-sec/ft.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter15: Oscillations

Section: Chapter Questions

Problem 52P: How much energy must the shock absorbers of a 1200-kg car dissipate in order to damp a bounce that...

See similar textbooks

Related questions

Q: The angle that a swinging simple pendulum makes with the vertical obeys the equation ̋(t) = (0.150…

A: As question is incomplete but I'm doing some correction to make it complete. I hope it will help…

Q: A 9 kg object's center of gravity lies at a point 16cm below the point of suspension. What is the…

A: Dear student The time period of a physical pendulum is given by: T = 2πImgL Here I = moment of…

Q: The non-conservative damping force removes energy from a system in which form? a. Mechanical energy…

A: A non-conservative force is a force for which the work done depends on the path taken. Such forces…

Q: A damped SHO has Q-factor . If its natural frequency is v2 rad/s then what is its oscillation…

Q: A weight on a spring is bouncing up and down with an angular frequency of 12.0 rad/sec. How long…

Q: Q.26 A SDOF system has undamped natural frequency 30000 N/m and the damping ratio equal to 0.5. The…

A: K= 30000N/m Damping ratio 0.5

Q: 4. A 0.40-kg mass is attached to a spring with a force constant of k= 337N/m, and the mass-spring…

A: Mechanical energy of the system

Q: A0.1kgobjectoscillatesasasimpleharmonicmotionalongthe?−axiswithafrequency?=3.185Hz. At a position…

A: A0.1kg object oscillates as a simple harmonic motion along the X−axis with a frequency f=3.185Hz. At…

Q: For the damped oscillator system, withm = 250 g, k = 85 N/m, and b = 70 g/s, what is the ratio of…

A: Given:- m = 250 g = 0.25 kg k = 85 N/m b = 70 g/s =0.07 kg/s Find the ratio of the oscillation…

Q: Show that the time rate of change of mechanical energy for a damped, undriven oscillator is given by…

A: Given: The expression for the mechanical energy of an oscillator,

Q: Suppose that a car is 900 kg and has a suspension system that has a force constant k = 6.53×104 N/m…

A: Given: mass, m = 900 kg spring constant, K = 6.53 x 104 N/m amplitude, A = 0.1 m

Q: A block-spring system has a maximum restoring force Fmax = 0.1 N. If the amplitude of the motion is…

A: Assume the spring mass have zero frictional loss and the motion is simple harmonic X = a sin(wt)…

Q: A block-spring system has a maximum restoring force Fmax = 0.1 N. If the amplitude of the motion is…

A: we know thatFmax=mamaxwhere m=400gamax=Aω2

Q: A 50.0 kg mass attatched to a spring oscillates with an amplitude of 2.00 m. The toal mechanical…

A: Mass of object = 50 kg Amplitude of shm =2m Total mechanical energy= 400j V=2m/s

Q: A block-spring system has a maximum restoring force Fmax = 0.1 N. If the amplitude of the motion is…

A: Given maximum restoring force is F=0.1 N Amplitude of the motion is A=0.16 m Mass of the block is m=…

Q: A weight suspended from a spring executes damped vibrationswith a period of 2 sec. If the damping…

A: Given that, Time period = 2 seconds Stretch distance x=3 in Speed = 2 ft/s

Q: A block-spring system has a maximum restoring force Fmax = 0.1 N. If the amplitude of the motion is…

Q: A 1-kg mass is attached to a spring with stiffness 100 N/m. The damping constant for the system is…

A: In this question we are given with a spring-mass system and we have to determine at what mass will…

Q: A block-spring system has a maximum restoring force Fmax 0.1 N. If the amplitude of the motion is A…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The maximum distance for device has spring are 60mm, 58mm, 48.4mm, 80 mm ? M= 40kg, K-800 N/m Find :…

Q: 11. An 8 lb weight stretches a spring 2 inches. It is attached to a dashpot with damping constant…

A: The equation of motion is, Applying initial condition, the general solution is,

Q: a body undergoes shm of amplitude 3 cm and frequency 20Hz what is velocity of the body at the…

A: Solution: A = 3 cm w = 20 Hz

Q: A free oscillator has frequency Ot Hz, constant 40 N/m constant, and total mechanical energy equal…

A: GIVEN: frequency=0 constant k=40 N m-1 total energy E=50 J

Q: A 4-kg mass is attached to a spring with stiffness 112 N/m. The damping constant for the system is…

Q: 2 6 +6 의ime 5 7 10 15 20 (s) -6 4 8.

Q: A block-spring system has a maximum restoring force Fmax 0.1 N. If the 100 g amplitude of the motion…

A: Since you have asked many question, we will solve the first question for you. If you want any…

Q: A 2.50-kg mass is attached to a spring with constant 22 N/m. If it is pulled back 20 cm and…

A: Given data: The value of mass attached to the spring is m=2.50 kg. The value of spring constant is…

Q: 1. A 5.5 kg mass is undergoing SHM with frequency 6.8 cycles/s. If the amplitude is 3.1 cm,…

A: When undergoing SHM, a particle has an energy given by the equation E=12mω2A2m is the mass of the…

Q: When x = 0, the two springs are at their equilibrium lengths. Calculate the period of oscillation if…

Q: An 8 lb weight stretches a spring .32 ft. The weight is initially displaced 6 inches above…

Q: The velocity of a particle undergoes SHM is 4m/s when it's displacement is 1m from a fixed point,…

A: Given,

Q: (hrw8c15p28) An oscillating block - spring system has a mechanical energy of 1.15 J, and amplitude…

Q: The acceleration due to gravity in this problem is taken to be g = 9.80 m/ s2 , unless otherwise…

Q: A block-spring system has a maximum restoring force Fmax = 0.1 N. If the amplitude of the motion is…

Q: A 200 g mass is attached to a spring with k = 60 N/m and allowed to oscillate with an amplitude of…

Q: A damped SHO has spring constant, k=10 N/m, mass, m=1 kg and friction constant, b=2kg/s. What is the…

Q: An object is undergoing SHM with a period of 1.20 s and an amplitude of 0.60 m. At t = 0 s, the…

Q: A block-spring system has a maximum restoring force Fmax 0.1 N. If the amplitude of the motion is A…

Q: Average acceleration in T/4, T/2,3T/ 4,...in shm 61 10:40 AM

Q: A 0.450kg mass oscillates at the end of a spring with the stiffness of k = 250 N/m. A.)The damping…

A: The angular frequency of damped oscillation can be determined as, Here, k, m and a represent spring…

Q: amplitude of oscillation

Q: A 32 lb weight is attached to the lower end of a coil spring suspended fom the ceiling, the spring…

Q: A block is in SHM on the endof a spring, with position given byx = xm cos(vt+ f). If f = p/5…

Q: A block-spring system has a maximum restoring force Fmax = 0.1 N. If the amplitude of the motion is…

A: Given: The maximum restoring force (Fmax) of the spring-mass system is 0.1 N. The amplitude (x) of…

Q: The time rate of change of mechanical energy for a damped oscillator is always: a. 0 b. Negative c.…

A: Explanation: In a damped oscillator, the mechanical energy from the oscillator is removed and as…

Q: A block-spring system has a maximum restoring force Fmax = 0.1 N. If the amplitude of the motion is…

A: Ans. (e) 5 rad/s for the spring mass system,Fmax = kA=0.1 Nwhere, k = spring constant A =…

Question

A 96 lb weight streches a spring 3.2ft in
equilibrium. It is attached to a dashpot
with damping constant of 18-lb-sec/ft.
The weight is initially displaced 15 inches
below equilibrium and given a
downward velocity of 12ft/sec.
1.) What is the natural frequency of
the mass and spring in hertz?
2.) What is the critical damping
coefficient in Ib-sec/ft?
3.) When in seconds the object
reached maximum displacement?
4.) What is the damping condition?

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

Give an example of a simple harmonic oscillator, specifically noting how its frequency is independent of amplitude.
If a car has a suspension system with a force constant of 5.00104 N/m , how much energy must the car’s shocks remove to dampen an oscillation starting with a maximum displacement of 0.0750 m?
Show that, if a driven oscillator is only lightly damped and driven near resonance, the Q of the system is approximately Q2(TotalenergyEnergylossduringoneperiod)
Allow the motion in the preceding problem to take place in a resisting medium. After oscillating for 10 s, the maximum amplitude decreases to half the initial value. Calculate (a) the damping parameter β, (b) the frequency υ1 (compare with the undamped frequency υ0), and (c) the decrement of the motion.
The device pictured in the following figure entertains infants while keeping them from wandering. The child bounces in a harness suspended from a door frame by a spring. (a) If the spring stretches 0.250 m while supporting an 8.0-kg child, what is its force constant? (b) What is the time for one complete bounce of this child? (c) What is the child’s maximum velocity if the amplitude of her bounce is 0.200 m?
Some people modify cars to be much closer to the ground than when manufactured. Should they install stiffer springs? Explain your answer.
Suppose you have a 0.750-kg object on a horizontal surface connected to a spring that has a force constant of 150 N/m. There is simple friction between the object and surface with a static coefficient of friction s=0.100 . (a) How far can the spring be stretched without moving the mass? (b) If the object is set into oscillation with an amplitude twice the distance found in part (a), and the kinetic coefficient of friction is k=0.0850 , what total distance does it travel before stopping? Assume it starts at the maximum amplitude.
Plot a velocity resonance curve for a driven, damped oscillator with Q = 6, and show that the full width of the curve between the points corresponding to is approximately equal to ω0/6.
Show that the time rate of change of mechanical energy for a damped, undriven oscillator is given by dE/dt = bv2 and hence is always negative. To do so, differentiate the expression for the mechanical energy of an oscillator, E=12mv2+12kx2, and use Equation 12.28.
Give an example of a damped harmonic oscillator. (They are more common than undamped or simple harmonic oscillators.)
Check Your Understanding Why are completely undamped harmonic oscillators so rare?
Near the top of the Citigroup Center building in New York City, there is an object with mass of 4.00105 kg on springs that have adjustable force constants. Its function is to dampen wind-driven oscillations of the building by oscillating at the same frequency as the building is being driven—the driving force is transferred to the object, which oscillates instead of the entire building. (a) What effective force constant should the springs have to make the object oscillate with a period of 2.00 s? (b) What energy is stored in the springs for a 2.00-m displacement from equilibrium?