The one-dimensional displacement of a particle is [ x(t)=0.5 e^{-0.2 t} sin (5 t+0.24) mathrm{m} ] (a)

Question:

The one-dimensional displacement of a particle is

\[ x(t)=0.5 e^{-0.2 t} \sin (5 t+0.24) \mathrm{m} \]

(a) What is the maximum displacement of the particle?

(b) What is the maximum velocity of the particle?

(c) What is the maximum acceleration of the particle?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Mechanical Vibrations Theory And Applications

ISBN: 120532

1st Edition

Authors: S. GRAHAM KELLY

See More Books

Question Posted: Apr 26, 2024 06:01 AM

See More Questions

Pecos Company acquired 100 percent of Suaro's outstanding stock for $1,450,000 cash on 1/1/2014, when Suaro had the following balance sheet: Cash - $37,000 Liabilities - ($422,000) Receivables -...
The conflict climate is the psychological atmosphere the individuals perceive. This climate can be harmful or nurturing. Share an example of a situation in which abuse of power, competition,...
Water is pumped out of a holding tank at a rate of 5 5e 0.12t liters/minute, where t is in minutes since the pump is started. If the holding tank contains 1000 liters of water when the pump is...
In 2013, Choctaw Company implements a new process affecting labor and materials. The following reported data are provided to evaluate the effect on the company's productivity: 2012 2013 Number of...
Your broker offers to sell you some shares of Bahnsen & Co. common stock that paid a dividend of $2.00 yesterday. Bahnsens dividend is expected to grow at 5% per year for the next 3 years. If you buy...
A cylinder with a diameter $D$ floats upright in a liquid as shown in Fig. P7.18. When the cylinder is displaced slightly along its vertical axis it will oscillate about its equilibrium position...
Chaz transfers cash of $60,000 to a newly formed corporation for 100% of the stock. In its initial year, the corporation has net income of $15,000. The income is credited to its earnings and profits...
Discuss, contrast and compare, the issues surrounding animal consciousness and machine consciousness. How are these issues alike and how different? Do they inform us differently about our...
At the instant shown in Figure P1.3, the slender rod has a clockwise angular velocity of $5 \mathrm{rad} / \mathrm{s}$ and a counterclockwise angular acceleration of \(14 \mathrm{rad} /...
The one-dimensional displacement of a particle is \[ x(t)=0.5 e^{-0.2 t} \sin 5 t \mathrm{~m} \] (a) What is the maximum displacement of the particle? (b) What is the maximum velocity of the...
A person moves from the origin along the positive y-axis pulling a weight at the end of a 12-meter rope (see figure). Initially, the weight is located at the point (12, 0). (a) Show that the slope of...
Number of Days Outstanding 61- 91- Total 0-30 31-60 90 120 Accounts $392,000 receivable $250,000 $77,000 $45,000 $20,000 Estimated % 2% 6% 10% 20% uncollectible The unadjusted balance in Allowance...
Simplify: 523.515
Bayes Plc is a company specialising in Oil and Gas exploration. The expected return on the stock of Bayes Plc is 1 4 % . In addition, you know that Bayes Plc has just paid a dividend of 1 . 6 and...
Chuck, a single taxpayer, earns $75,800 in taxable income and $10,900 in interest from an investment in City of Heflin bonds. (Use the U.S. tax rate schedule.) Required: a. If Chuck earns an...
Do you foresee that cybersecurity industry will experience fast growth in the next 4 years? and why?
When the pump in Fig P3.130 draws 220 m3/h of water at 20°C from the reservoir, the total friction head loss is 5 m. The flow discharges through a nozzle to the atmosphere Estimate the pump power...
A line l passes through the points with coordinates (0, 5) and (6, 7). a. Find the gradient of the line. b. Find an equation of the line in the form ax + by + c = 0.
Solve the following transportation problem using the Vogel's approximation method. A B C D Supply 1 10 8 12 14 300 2 6 7 10 11 150 3 4 9 7 5 250 Demand 350 125 100 125
6. Draw, in the space below, all of the spanning trees in the following graph. A B C D E F
Sketch the phase space associated with the differential equation dx dt dV + = 0, dx where the potential V(x) has the shape given below. Only the portion of the graph of V(x) near its extrema is...

The one-dimensional displacement of a particle is [ x(t)=0.5 e^{-0.2 t} sin (5 t+0.24) mathrm{m} ] (a)

Question:

Step by Step Answer:

Mechanical Vibrations Theory And Applications

Students also viewed these Engineering questions