The force acting on an object is given by F(x) = x 3 4x. Locate the positions

Question:

The force acting on an object is given by F(x) = x³ 4x. Locate the positions of unstable and stable equilibrium and show that at these points U(x) is a local maximum or minimum, respectively.

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

Step by Step Answer:

Related Book For book-img-for-question

Fundamentals of Ethics for Scientists and Engineers

ISBN: 978-0195134889

1st Edition

Authors: Edmund G. Seebauer, Robert L. Barry

See More Books

Question Posted: Jun 30, 2011 01:52 PM

See More Questions

The force acting on an object is given by F x = a/x 2 . Determine the potential energy of the object as a function of x.
The net force acting on an object is constant. Under what circumstances does the object move along a straight line? Under what circumstances does the object move along a curved path?
The speed, v of an object is given by the equation v = At3 Bt, where t refers to time. What are the dimensions of A and B?
Consider the problem of making change for n cents using the fewest number of coins. Assume that each coin's value is an integer. 2. Suppose that the available coins are in the denominations that are...
Do you think customer service has improved over the years for retailers? Cite some examples. Discuss.
Table 1.0: List Price, Sale Price and Days to Sell ApartmentsBlue Apartments Red ApartmentsList Price Sale Price Days to Sell List Price Sale Price Days to Sell1 495.0 475.0 130 217.0 217.0 1822...
I dont know you, and I very much liked working with Oscar Jones. Why was he transferred to Chicago? The customer you have just met for the first time is unhappy because of his relationship with the...
A financial manager made two new investmentsone in the oil industry and one in municipal bonds. After a one-year period, each of the investments will be classified as either successful or...
An electricity company pays today a dividend $ 1 . 6 4 per share and the share price is $ 2 7 . If the expected yield is 1 0 % what will be the dividend growth rate?
The chart below shows the starting torque for an induction motor (green curve) and the required torque to spin its load (red curve), both plotted against RPM? Match each description below with the...
The potential energy of an object is given by U(x) = 8x 2 x 4 , where U is in joules and x is in meters. (a) Determine the force acting on this object. (b) At what positions is this object in...
The potential energy of a 4-kg object is given by U = 3x 2 x 3 for x 3 m, and U = 0 for x 3 m, where U is in joules and x is in meters. (a) At what positions is this object in equilibrium? (b)...
When shares are repurchased at more than their original issue price, then held in treasury or cancelled, the journal entry potentially includes which of the following components? Account Debit to...
Simplify. 17 17 = (Simplify your answer. Type your answer in the form a + bi.)
Use the properties of logarithms to solve the following equations 4 log 4 ( 5 7 ) = x
Perform the indicated operations and simplify completely: (x+9) - (x+5) Answer: =
Graph the line. y-1=5(x-3)
Solve: 12x+4+12=4 Enter any solutions as integers or reduced fractions, using commas if there is more than one solution. If there are no solutions, click the No Solution button. One or more...
Are liquidations likely to be more common for public utility, railroad, or industrial corporations? Why or why not?
What impact has the Internet had on the globalization of small firms? How do you think small companies will use the Internet for business in the future?
(a) An oxygen-16 ion with a mass of 2.66 x 10 -26 kg travels at 5.00 x 10 6 m/s perpendicular to a 1.20-T magnetic field, which makes it move in a circular arc with a 0.231-m radius. What positive...
Determine the magnetic field (in terms of I, a, and d) at the origin due to the current loop in Figure P30.14. 0 t a
Two long, parallel conductors carry currents I1 = 3.00 A and I2 = 3.00 A, both directed into the page in Figure P30.15. Determine the magnitude and direction of the resultant magnetic field at P. ...
Two long, parallel conductors, separated by 10.0 cm, carry currents in the same direction. The first wire carries current I1 = 5.00 A and the second carries I 2 = 8.00 A. (a) What is the magnitude of...
Places and people differ. The Japanese tend to be very polite, the Australians characteristically blunt. Red means danger or stop to the British, but in Turkey it signifies death, and in China, good...
5. Solve the linear inequality. Graph the solution set on a number line. 7(x+4)-13 < 12 + 13(3 + x)
Can you delineate the role of central banks as key stakeholders in the financial ecosystem, elucidating their functions as monetary authorities responsible for price stability, lender of last resort...

The force acting on an object is given by F(x) = x 3 4x. Locate the positions

Question:

Step by Step Answer:

Fx xx 2 4 Fx 0 at x 0 2 At x 0 A small increase in x makes ...View the full answer

Fundamentals of Ethics for Scientists and Engineers

Students also viewed these Mechanics questions