Solve the equations of motion for an oscillator when the friction is dependent on the square...
Solve the equations of motion for an oscillator when the friction is dependent on the square of the velocity. Assume that the initial position θ0 = 0 and the initial velocity is ˙θ0 = 150. Note: You cannot just assume that friction f ∼ −v 2 . Why?
Homework Answers
Because the friction may also be dependent on something like this
f av^2 + b
where a and b are constants.
a is proptionality constant and b is friction which exists independently of velocity
Add Answer to:
Solve the equations of motion for an oscillator when the
friction is dependent on the square...
Equations of Motion: Rectangular Coordinates a,--150 m Learning Goal To set up and solve the equations...
Equations of Motion: Rectangular Coordinates a,--150 m Learning Goal To set up and solve the equations of motion using rectangular coordinates The 2kg collar shown has a coeficient of kinesic friction Correct = 0.2 wit, the shut The spring is urstre ed aren s :0 and the collar is given an initial velocity of to 19.6 m/s The unstretohed length of the spring is d-1.1 m and the spring constant is 423 N/m part C . The speed of the...
Using Octave to solve (preferably with solving the differential equations and go through the process) 1. A harmonic osc...
Using Octave to solve (preferably with solving the differential
equations and go through the process)
1. A harmonic oscillator obeys the equation dx dt dt which can be written as a set of coupled first order differential equations dx dt dt One procedure in Octave for coding these equations involves a global statement and the line solutionRC Isode(@dampedOscillator, [1, 0], timesR); Employ the help system to determine the properties of the Isode() function (or an equivalent solver such as ode23()...
2. Solve for the motion of a driven-damped harmonic oscillator whose forcing function F(t) is given...
2. Solve for the motion of a driven-damped harmonic oscillator whose forcing function F(t) is given by F(t) = 0, < 0 HU t 12 0 <t<T PO) – 4(), 0<t<7 F(t) = A, t>t. m т.
To set up and solve the equations of motion using rectangular coordinates The 2-kg collar shown...
To set up and solve the equations of motion using rectangular coordinates The 2-kg collar shown has a coefficient of kinetic friction uk= 0.18 with the shaft. The spring is unstretched when s=0 and the collar is given an initial velocity of vo = 17.1 m/s. The unstretched length of the spring is d=1.2 m and the spring constant is k=8.70 N/m. Part B - The acceleration of the collar after it has moved a certain distance What is the...
Problem 11.021- Particle motion DEPENDENT MULTI-PART PROBLEM - ASSIGN ALL PARTS NOTE: This is a multi-part...
Problem 11.021- Particle motion DEPENDENT MULTI-PART PROBLEM - ASSIGN ALL PARTS NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. The acceleration of a particle is defined by the relation a= k (1-e-x), where k is a constant. The velocity of the particle V +9 m/s whenx3 m and it comes to rest at the origin. Problem 11.021.b -Obtaining velocity from a position-dependent acceleration by integration etermine the velocity...
Part B and C <Problem Assignment No. 2 Equations of Motion: Rectangular Coordinates Learning Goal: To...
Part B and C
<Problem Assignment No. 2 Equations of Motion: Rectangular Coordinates Learning Goal: To set up and solve the equations of motion using rectangular coordinates. The 3.5-kg collar shown has a coefficient of kinetic friction μk 0.195 with the shaft. The spring is unstretched when s 0 and the collar is given an initial velocity of vo 10.3 m/s. The unstretched length of the spring is d- 1.3 nm and the spring constant is k- 3.13 N/m. (Figure...
This time, you are asked to analyze the time dependent behavior of two masses (m, and...
This time, you are asked to analyze the time dependent behavior of two masses (m, and m.) connected by a massless spring. You may assume that the spring is linear, has a spring constant k and a free length of L. That is if the spring is stretched to length L' > Lit exerts a compressive force of magnitude (L' L). However, if compressed, ie., L' <Lit exerts an expansion force of magnitude (L-1). In Newtonian Mechanics, motion of the...
Solve the harmonic oscillator motion for initial conditions x(0) = 0, V(0) = V0 in the...
Solve the harmonic oscillator motion for initial conditions x(0)
= 0, V(0) = V0 in the case of (a) underdamped
(b) overdamped
We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
Suppose equation of motion for one dimensional oscillator is given by: ?̈ + ??̇ + 9?...
Suppose equation of motion for one dimensional oscillator is given by: ?̈ + ??̇ + 9? = 0 For α values of 3, 6, and 9 indicate what kind of oscillatory system it would be. Find expression for x(t) for each value with the initial conditions, x0 = 0 and vo = 5 m/s. Use proper ansatz to start from scratch (Check whether these initial conditions might be non-sense. Choose convenient initial conditions whenever necessary). Solve the equation with α...
6. [20 points] The following nonlinear differential equations describe the motion of a body in orbit...
6. [20 points] The following nonlinear differential equations describe the motion of a body in orbit around two much heavier bodies. An example would be an Apollo capsule in an Earth-moon orbit. The three bodies determine a two-dimensional Cartesian plane in space The origin is at the center of mass of the two heavy bodies, the r-axis is the line through these two bodies, and the distance between their centers is taken as the unit. Thus, if μ is the...
Equations of Motion: Rectangular Coordinates a,--150 m Learning Goal To set up and solve the equations of motion using rectangular coordinates The 2kg collar shown has a coeficient of kinesic friction Correct = 0.2 wit, the shut The spring is urstre ed aren s :0 and the collar is given an initial velocity of to 19.6 m/s The unstretohed length of the spring is d-1.1 m and the spring constant is 423 N/m part C . The speed of the...
Using Octave to solve (preferably with solving the differential
equations and go through the process)
1. A harmonic oscillator obeys the equation dx dt dt which can be written as a set of coupled first order differential equations dx dt dt One procedure in Octave for coding these equations involves a global statement and the line solutionRC Isode(@dampedOscillator, [1, 0], timesR); Employ the help system to determine the properties of the Isode() function (or an equivalent solver such as ode23()...
2. Solve for the motion of a driven-damped harmonic oscillator whose forcing function F(t) is given by F(t) = 0, < 0 HU t 12 0 <t<T PO) – 4(), 0<t<7 F(t) = A, t>t. m т.
To set up and solve the equations of motion using rectangular coordinates The 2-kg collar shown has a coefficient of kinetic friction uk= 0.18 with the shaft. The spring is unstretched when s=0 and the collar is given an initial velocity of vo = 17.1 m/s. The unstretched length of the spring is d=1.2 m and the spring constant is k=8.70 N/m. Part B - The acceleration of the collar after it has moved a certain distance What is the...
Problem 11.021- Particle motion DEPENDENT MULTI-PART PROBLEM - ASSIGN ALL PARTS NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. The acceleration of a particle is defined by the relation a= k (1-e-x), where k is a constant. The velocity of the particle V +9 m/s whenx3 m and it comes to rest at the origin. Problem 11.021.b -Obtaining velocity from a position-dependent acceleration by integration etermine the velocity...
Part B and C
<Problem Assignment No. 2 Equations of Motion: Rectangular Coordinates Learning Goal: To set up and solve the equations of motion using rectangular coordinates. The 3.5-kg collar shown has a coefficient of kinetic friction μk 0.195 with the shaft. The spring is unstretched when s 0 and the collar is given an initial velocity of vo 10.3 m/s. The unstretched length of the spring is d- 1.3 nm and the spring constant is k- 3.13 N/m. (Figure...
This time, you are asked to analyze the time dependent behavior of two masses (m, and m.) connected by a massless spring. You may assume that the spring is linear, has a spring constant k and a free length of L. That is if the spring is stretched to length L' > Lit exerts a compressive force of magnitude (L' L). However, if compressed, ie., L' <Lit exerts an expansion force of magnitude (L-1). In Newtonian Mechanics, motion of the...
Solve the harmonic oscillator motion for initial conditions x(0)
= 0, V(0) = V0 in the case of (a) underdamped
(b) overdamped
We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
6. [20 points] The following nonlinear differential equations describe the motion of a body in orbit around two much heavier bodies. An example would be an Apollo capsule in an Earth-moon orbit. The three bodies determine a two-dimensional Cartesian plane in space The origin is at the center of mass of the two heavy bodies, the r-axis is the line through these two bodies, and the distance between their centers is taken as the unit. Thus, if μ is the...
Most questions answered within 3 hours.
-
A preferred stock investment will pay you an annual $9 dividend
on the same day each...
asked 15 minutes ago -
Suppose Brittany has the following demand curve for oranges:
Q = 90 − 3P
If oranges...
asked 15 minutes ago -
Santa Cruz Bottling is a manufacturer of organic soft drinks on
the coast of central California....
asked 13 minutes ago -
31.
a.
Concrete tactics that will reduce risk for a business are
considered a key component...
asked 30 minutes ago -
Nitrogen is compressed in an axial-flow compressor at steady
state from a pressure of 15 lbf/in^2...
asked 35 minutes ago -
You have just deposited $20,000 into a mutual fund account
earning 5% compounding annually.
a. Using...
asked 38 minutes ago -
In eukaryotes, where does transcription take place?
A.In the cytoplasm
B.In the mitochondrion
C. In the...
asked 43 minutes ago -
Six kilomoles (12.095kg) of hydrogen gas (H2) at
S.T.P. (Standard Temperature & Pressure) expands isobarically
to...
asked 54 minutes ago -
how
to calculate moving point avarage
unit pulse response
what is convolution and how to calculate...
asked 51 minutes ago -
A firm with a 14% WACC is evaluating two projects for this
year's capital budget. After-tax...
asked 1 hour ago -
Which of the following is not a division of the FBI?
National Security
Criminal Investigative
Critical...
asked 1 hour ago -
For the reaction A⟶products A⟶products time and concentration
data were collected. The blue curve is the...
asked 1 hour ago