This behaviour can be reduced to an expression for the displacement as a function of time....
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
This behaviour can be reduced to an expression for the displacement as a function of time. y(t) = et cos (2n ft) where k=0.58 and f = 2 Hz. a. Calculate the values of t in the interval t=0 s to t= 1 s for which the value of y(t) is zero. Hint: consider values at which a cosine function is zero and consider if there are any values at which the exponential function can be zero. b. Differentiate f(t) = et and g(t) = cos(27 ft) with respect to t. c. Differentiate the function y(t) to show that the expression for the velocity of the tip as a function of time can be written as: v (t) = -e [k cos(2xft) + 2nf sin(2xft)] d. Calculate the value off after the start at which the velocity of the tip first becomes zero? Hint. the expression for velocity is given in part (c) and remember to consider again if the exponential function can be zero. e. Find an expression for the acceleration of the tip. Time (s) 190 NO Displacement (mm) This behaviour can be reduced to an expression for the displacement as a function of time. y(t) = et cos (2n ft) where k=0.58 and f = 2 Hz. a. Calculate the values of t in the interval t=0 s to t= 1 s for which the value of y(t) is zero. Hint: consider values at which a cosine function is zero and consider if there are any values at which the exponential function can be zero. b. Differentiate f(t) = et and g(t) = cos(27 ft) with respect to t. c. Differentiate the function y(t) to show that the expression for the velocity of the tip as a function of time can be written as: v (t) = -e [k cos(2xft) + 2nf sin(2xft)] d. Calculate the value off after the start at which the velocity of the tip first becomes zero? Hint. the expression for velocity is given in part (c) and remember to consider again if the exponential function can be zero. e. Find an expression for the acceleration of the tip. Time (s) 190 NO Displacement (mm)
Expert Answer:
Related Book For
Posted Date:
Students also viewed these mathematics questions
-
Portray in words what transforms you would have to make to your execution to some degree (a) to accomplish this and remark on the benefits and detriments of this thought.You are approached to compose...
-
ttth Suppose that the sequence of bags {Bn | n N} is recursively enumerated by the computable function e(n, x) = fn(x), [7 marks] Hence prove that the set of all recursive bags cannot be recursively...
-
Have I done this correctly? In case you were wondering what experiment I was doing, it is the magic milk experiment about how food color moves away from the dish soap in a bowl of milk. EPS Unit 1...
-
Provide an overview of this case analysis "Off-Shoring by U.S. Multinational Corporations"; summarize the key points. b. Discuss the three measures (value added, capital expenditures, and employment)...
-
Suppose that you live on a street adjoining the college in which you are taking this course. 1. List all the governments (e.g., state, county, town) that have jurisdiction over the residents or...
-
Show that for a European call or put on a non-dividend-paying stock = N' (d1) SoT SN' (d) -Ke-T N(d2). 2T
-
Multiple Choice Questions Select the best answer for each of the following and explain fully the reason for your selection. a. Which of the following is least likely to be among the auditors...
-
The position of a particle moving along the x-axis is given by x(t) = = 4.2 2.5t m. (Assume t is in seconds.) (a) At what time (in s) does the particle cross the origin? 1.68 S (b) What is the...
-
Determine the largest intensity w 0 of the distributed load that the beam can support if the beam can withstand a maximum shear force of V max = 1200 lb and a maximum bending moment of M max = 600 lb...
-
What purpose might a company utilize a cost activity index?
-
In JAVA please, please follow all instructions exactly 8. (8 points) Given the following class IntNode, complete method static boolean doubled(int i, IntNode 1s) to return true if the in teger, i,...
-
what the choice of a profit, cost, or revenue center depends on ?
-
Your design specifications must meet the following Requirements: 1. Arrays 2. Methods with parameters 3. Input or output files 4. GUI or menu I don't really know where to start.... I'm in an Intro...
-
Describe the economic system based on private ownership of the means for production and the profits earned and is built on the principles of private property?
-
Explain how to set up the Due Diligence process in real estate company ? Outsource, in-house? What would be the criteria to choose the Due Diligence team?
-
Priscilla Lim, a Singaporean aged 35 is married with 2 schooling children. She is working in Melbourne, Australia since the beginning of 2019. She has not filed any tax return to Inland Revenue of...
-
Which of the following is NOT a magnetic dipole when viewed from far away? a) A permanent bar magnet. b) Several circular loops of wire closely stacked together with the same current running in each...
-
a. Example 17-2: Mean Conversion, Xseg, Calculations in a Real Reactor Wolfram and Python 1. How do C A0 , n and k affect the trajectories in X for the segregation model and the LFR? 2. Write a set...
-
a. Wolfram and Python i. Explain how I would change if the concentrations of CS 2 and M were increased. ii. Explain how the light intensity varies with an increase in concentration of M. iii. Write...
-
Derive Equation. d 2 yd 2 n 2 yn=0 by 2dy/d, rearrange to get dd(dyd) 2 =n 2 yn 2 dyd and solve using the boundary conditions dy/d = 0 at = 0.
-
(a) The longitudinal data set "v4c" is in the vertical format; transform it into the horizontal format. (b) Transform the data set you obtained in part (a) back into the vertical format.
-
Perform some exploratory analysis on the DTS study described above. (a) Compute the mean and standard deviation of the HamD scores for the two treatment groups at each time point. (b) Treat repeated...
-
In this question we develop a regression model to assess the treatment effect for stigma in the DTS study, controlling for demographics and baseline measurements. We will use the cumulative logit...
Study smarter with the SolutionInn App