Question

A vertical spring-mass system is submerged in oil. The spring has a stiffness coefficient of 3...

A vertical spring-mass system is submerged in oil. The spring has a stiffness coefficient of 3 N/m, and the mass is 1 kg. If the dampened angular frequency w of oscillation is 0.866 Hz, find the damping coefficient b from the oil and how long it takes the spring to reach 50 percent of its original amplitude.

a. 2.5 kg/s, 0.35 s

b. 2 kg/s, 0.28s

c. 1.7 kg/s, 0.2s

d. 3 kg, 0.46s

e.1.5 kg/s, 0.2s

f. 3.5 kg/s , 0.49s

g. 4kg/s, 0.56s

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A 10.5-kg object oscillates at the end of a vertical spring that has a spring constant...
A 10.5-kg object oscillates at the end of a vertical spring that has a spring constant of 1.70 ? 104 N/m. The effect of air resistance is represented by the damping coefficient b = 3.00 N · s/m. (a) Calculate the frequency of the damped oscillation. Hz (b) By what percentage does the amplitude of the oscillation decrease in each cycle? % (c) Find the time interval that elapses while the energy of the system drops to 4.00% of its...
(1A) A vertical spring with a spring constant of 8 N/m and damping constant of 0.05...
(1A) A vertical spring with a spring constant of 8 N/m and damping constant of 0.05 kg/s has a 2 kg mass suspended from it. A harmonic driving force given by F = 2 cos(1.5 t ) is applied to the mass. What is the natural angular frequency of oscillation of the mass? What is the amplitude of the oscillations at steady state? Does this amplitude decrease with time due to the damping? Why or why not? (1B) Two traveling...
A 20.6 kg object oscillates at the end of a vertical spring that has an elastic...
A 20.6 kg object oscillates at the end of a vertical spring that has an elastic constant of 2.05x104 N/m. The effect of air resistance is represented by the coefficient of damping b = 300.0 Ns/m. a) Calculate the angular frequency of the damped oscillation. b) How much would the damping coefficient b have to be for there to be no oscillations?
A horizontal spring-mass system has low friction, spring stiffness 200 N/m, and mass 0.5 kg. The...
A horizontal spring-mass system has low friction, spring stiffness 200 N/m, and mass 0.5 kg. The system is released with an initial compression of the spring of 9 cm and an initial speed of the mass of 3 m/s. (a) What is the maximum stretch during the motion? _ m (b) What is the maximum speed during the motion?   _m/s (c) Now suppose that there is energy dissipation of 0.02 J per cycle of the spring-mass system. What is the...
An object with mass 2.5 kg is attached to a spring with spring stiffness constant k...
An object with mass 2.5 kg is attached to a spring with spring stiffness constant k = 270 N/m and is executing simple harmonic motion. When the object is 0.020 m from its equilibrium position, it is moving with a speed of 0.55 m/s. (a) Calculate the amplitude of the motion. ____m (b) Calculate the maximum velocity attained by the object. [Hint: Use conservation of energy.] ____m/s
1. A mass 0.15 kg is attached to a horizontal spring with spring constant k =...
1. A mass 0.15 kg is attached to a horizontal spring with spring constant k = 100 N/m moves on a horizontal surface. At the initial moment in time, the mass is moving to the right at rate of 3.5 m/s and displacement of 0.2 m to the right of equilibrium. a) What is the angular frequency, period of oscillation, and phase constant? b) What is the amplitude of oscillation (Hint: Use energy.) and maximum speed of the spring-mass system?
A block of mass 604 g and side length 10.4 cm is suspended on a spring...
A block of mass 604 g and side length 10.4 cm is suspended on a spring into a fluid of density 1780 kg/m3. The block is pulled up a distance 10 cm and it takes 3.3 s for the block to make 3 full oscillations, by which time the oscillation amplitude falls to 6 cm. (a) Find the drag coefficient of the fluid. (b) Find the stiffness of the spring.
A mass of 1.79 kg is placed on a spring with spring constant of 280 N/m....
A mass of 1.79 kg is placed on a spring with spring constant of 280 N/m. After being pulled to its positive amplitude position and released, the resulting simple harmonic motion has a maximum velocity of 1.126 m/s. (a) Calculate the angular frequency of the oscillation.   rad/s (b) Calculate the minimum time elapsed for the mass to reach the 0.044 m position (distance from the equilibrium position).    s (c) Calculate the velocity of the mass at the time found in part (b).    m/s
A block with mass m =7.3 kg is hung from a vertical spring. When the mass...
A block with mass m =7.3 kg is hung from a vertical spring. When the mass hangs in equilibrium, the spring stretches x = 0.29 m. While at this equilibrium position, the mass is then given an initial push downward at v = 5 m/s. The block oscillates on the spring without friction. 1) What is the spring constant of the spring? N/m Submit 2) What is the oscillation frequency? Hz Submit 3) After t = 0.45 s what is...
A very large mass-spring system has stiffness 186 N/m, mass 0.33 kg, and is oriented horizontally...
A very large mass-spring system has stiffness 186 N/m, mass 0.33 kg, and is oriented horizontally atop a level table. The system released with initial compression of of 5 cm and initial speed 2 m/s. a What is the maximum stretch of the spring during the motion in m? b What is the maximum speed that the mass obtains in m/s? c If the friction force is on average Fu = 0.065 N, what is the change in energy per...