Y Figure 1. Schematic of an elastic pendulum. The grey curve represents the trajectory of the...
Fantastic news! We've Found the answer you've been seeking!
Question:
![image](https://dsd5zvtm8ll6.cloudfront.net/si.experts.images/questions/2024/02/65ce12bfac25d_03165ce12bf78cf2.jpg)
Transcribed Image Text:
Y Figure 1. Schematic of an elastic pendulum. The grey curve represents the trajectory of the mass. In this assignment, the following is assumed/given: Table 1. Physical quantities in the system. Property Symbol Quantity Unit Item Total mass m 0.2 kg Initial angle 00 0.05 rad Initial angular 0.02 rad/s velocity Initial radius 0.1 m/s velocity Spring Free length 25 B Initial elongation dro 1 m Elastic coefficient k 20 N/m The elastic pendulum swings in one plane, so two dimensional coordinate system is adequate to describe the system. The equation of motion for a harmonic oscillator (elastic pendulum) is in the form of: (t) + a. ((t) C) = 0 (a > 0) a and C are constants, which can vary depending on the characteristics of the system (spring, dimensions, mass, etc), and need to be determined based on the problem at hands. This equation of motion has the following linearised analytical solution when applying the small angle theorem (0 < 5, sin 0, cose 1): 8(t) = A cos(wn t p) + C - Where Angular frequency Amplitude wn = a A = (00-C) + Wn Phase = atan `(00-C) * Wn' Y Figure 1. Schematic of an elastic pendulum. The grey curve represents the trajectory of the mass. In this assignment, the following is assumed/given: Table 1. Physical quantities in the system. Property Symbol Quantity Unit Item Total mass m 0.2 kg Initial angle 00 0.05 rad Initial angular 0.02 rad/s velocity Initial radius 0.1 m/s velocity Spring Free length 25 B Initial elongation dro 1 m Elastic coefficient k 20 N/m The elastic pendulum swings in one plane, so two dimensional coordinate system is adequate to describe the system. The equation of motion for a harmonic oscillator (elastic pendulum) is in the form of: (t) + a. ((t) C) = 0 (a > 0) a and C are constants, which can vary depending on the characteristics of the system (spring, dimensions, mass, etc), and need to be determined based on the problem at hands. This equation of motion has the following linearised analytical solution when applying the small angle theorem (0 < 5, sin 0, cose 1): 8(t) = A cos(wn t p) + C - Where Angular frequency Amplitude wn = a A = (00-C) + Wn Phase = atan `(00-C) * Wn'
Expert Answer:
Related Book For
Posted Date:
Students also viewed these mechanical engineering questions
-
CANMNMM January of this year. (a) Each item will be held in a record. Describe all the data structures that must refer to these records to implement the required functionality. Describe all the...
-
Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...
-
Assume that you have been hired as a consultant by CGT, a major producer of chemicals and plastics, including plastic grocery bags, styrofoam cups, and fertilizers, to estimate the firms weighted...
-
What are the potential benefits and risks of using participative leadership?
-
For the prior problem, management wants to double the return on assets, without affecting sales, cost of goods sold, variable expenses, fixed expenses, or fixed assets. Rather it wants to focus on...
-
In 2014, political consulting firm Cambridge Analytica developed an app designed to create digital profiles of individuals via their information. Cambridge Analytica collected the data by inviting...
-
Star Power Company is a power company in the Midwest region of the United States. Star buys and sells energy on the spot market. Star can store power in a high-capacity battery that can store up to...
-
2. Consider a consumer with CES utility u(x1, x2) = x + x2- (a) Does this consumer have preferences the "increasing difference prop- erty"? How about the strict increasing difference property? Make a...
-
You are in charge of an Australian company with significant operations in France. You have been watching the news recently and you have noticed that the Australian dollar has been going up in value...
-
Why is a self employed individual/professional availing of the 8% flat rate of income tax not subject to percentage tax?Philippines:
-
Find f'(x). - 2 f(x) = (x + 5) f'(x) =
-
KD Industries has 30 million shares outstanding with a market price of $20 per share and no debt. KD has had consistently stable earnings and pays a 21% tax rate. Management plans to borrow $200...
-
Your client is frustrated, his wife, who always prepared their tax returns, passed away this year and he is trying to prepare his own return. After reviewing his prior year return, you realize his...
-
Discuss about current issues on corporate finance and financial markets in Korea.
-
Write a critical analysis paper comparing the emergency response protocols for the following critical incidents: 1979: three mile island nuclear disaster 1984: bhopal india union carbide incident...
-
Shreemaya Hotel in !adore was facing a problem of low demand for its rooms due to off season. The Managing Director (MD) of the hotel, Mrs. Sakina was very worried. She called upon the Marketing...
-
Though its name can sometimes cause confusion for students, the market structure we call monopolistic competition is so named because it has some features of monopoly and some features of...
-
Consider the following supply and demand tables for bread. Draw the supply and demand curves for this market. What are the equilibrium price and quantity? Price of One Loaf Quantity Supplied 10 20 35...
-
Calculate the annual growth rate of nominal GDP in the following examples: Nominal GDP in 1930: $97 billion. Nominal GDP in 1931: $84 billion. Nominal GDP in 1931: $84 billion. Nominal GDP in 1932:...
-
Which of Yellows statements regarding the factors affecting the selection of a trading strategy is correct? A. Statement 1 B. Statement 2 C. Statement 3 Robert Harding is a portfolio manager at...
-
Given the parameters for the benchmark given by Harding, Yellow should recommend a benchmark that is based on the: A. arrival price. B. time-weighted average price. C. volume-weighted average price....
-
To fill the remaining portion of the ABC order, Yellow is using: A. an arrival price trading strategy. B. a TWAP participation strategy. C. a VWAP participation strategy. Robert Harding is a...
![Mobile App Logo](https://dsd5zvtm8ll6.cloudfront.net/includes/images/mobile/finalLogo.png)
Study smarter with the SolutionInn App