The potential function associated with a force P in space is known to be V(x,y,z) = -(x2
Question:
The potential function associated with a force P in space is known to be
V(x,y,z) = -(x2 + y2 + z2)1/2.
(a) Determine the x, y, and z components of P.
(b) Calculate the work done by P from O to D by integrating along the path OABD, and show that it is equal to the negative of the change in potential from O to D.
Transcribed Image Text:
D. х B.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 92% (13 reviews)
a b U OABD U OA U AB U BD O A P y and P x are perpendi...View the full answer
Answered By
Muhammad Umair
I have done job as Embedded System Engineer for just four months but after it i have decided to open my own lab and to work on projects that i can launch my own product in market. I work on different softwares like Proteus, Mikroc to program Embedded Systems. My basic work is on Embedded Systems. I have skills in Autocad, Proteus, C++, C programming and i love to share these skills to other to enhance my knowledge too.
3.50+
1+ Reviews
10+ Question Solved
Related Book For
Vector Mechanics for Engineers Statics and Dynamics
ISBN: 978-0073398242
11th edition
Authors: Ferdinand Beer, E. Russell Johnston Jr., David Mazurek, Phillip Cornwell, Brian Self
Question Posted:
Students also viewed these Mechanics questions
-
(a) Calculate the work done from D to O by the force P of Problem 13.82 by integrating along the diagonal of the cube. (b) Using the result obtained and the answer to part b of Problem 13.82, verify...
-
The force F = (yzi + zxj + xyk)/ xyz acts on the particle P(x,y,z) which moves in space. (a) Using the relation derived in Prob. 13.77, show that this force is a conservative force. (b) Determine the...
-
Figure 7.22b shows the potential energy function associated with the gravitational force between an object and the earth. Use this graph to explain why objects always fall toward the earth when they...
-
Maria owns and runs her own online premium clothing business (sole trader) named "Maria's Clothing Solutions (MS). Her main competitor is "Brenda's Extraordinary Clothing (BC). She is interested in...
-
The ledger of Hubbard Company includes the following accounts. Explain why each account may require adjustment. (a) Prepaid Insurance. (b) Depreciation Expense. (c) Unearned Service Revenue. (d)...
-
Murphy Cotton Company's bank statement for the month of June and its general ledger cash account at the end of June are as follows: Other information: Murphy had one deposit in transit of $2,100 and...
-
Suppose that two drugs A and B are to be tested on 12 subjects' eyes. The drugs will be randomly assigned to the left eye or right eye based on the flip of a fair coin. If the coin toss is heads then...
-
Surepar Disc Golf Course was opened on March 1 by Bill Arnsdorf. The following selected events and transactions occurred during March: Mar. 1 Invested $60,000 cash in the business in exchange for...
-
Using the Internet analyze a particular current event in finance (or economics) using at least three sources. You will summarize your current event or topic and support your viewpoints and...
-
Consider $ 200 million of 30-year mortgages with a coupon of 10 percent paid quarterly. a. What is the quarterly mortgage payment? b. What are the interest repayments over the first year of life of...
-
The 1 kg ball at A is suspended by an inextensible cord and given an initial horizontal velocity of 5 m/s. If l = 0.6m and xb = 0,so that the ball will enter the basket. iB
-
The force F = (xi + yj + zk)/(x2 + y2 + z2)3/2 acts on the particle P(x, y, z) which moves in space. (a) Using the relations derived in Problem 13.79, prove that F is a conservative force. (b)...
-
Measured at the lid center, the thickness of the zinc coating applied to container lids averages 3.000 mil, with a process standard deviation of 0.300 mil. Determine the centerline and the upper and...
-
The molar volume, in [cm3/mol], of a binary mixture of ethanol (1) and ethylene glycol (2) at 25C is given in the following table. Using the graphical method, determine the partial molar volume of...
-
A wave on a rope is given by \(f(x, t)=(0.750 \mathrm{~cm}) \cos \pi\left[\left(4.00 \mathrm{~m}^{-1} ight) x-\left(4.50 \mathrm{~s}^{-1} ight) t ight]\) Calculate the (a) wavelength, (b) angular...
-
After graduating from college in 2000, Justin Gold spent a year in California before settling in Boulder, Colorado. He waited tables to pay the rent and enjoyed outdoor activities including hiking,...
-
This chapter introduced the families of processes with schematics of some of them. Good images of many processes can be found on the internet. Use the internet to find images for the following: a....
-
You are watching a large ripple tank and observed that the waves generated by a mechanical motor have a period of \(3.5 \mathrm{~s}\) and the distance between two adjacent crests is \(15...
-
To the person who had trouble completing a high school equivalency exam and is now talking of becoming a doctor: You need to be more realistic about what you can and cant do. Think of some other...
-
Why is a help desk and production support critical to system implementations? Discuss its interrelationship with the problem management and reporting system.
-
Two 12-lb uniform disks are attached to the 20-lb rod AB as shown. Knowing that the constant of the spring is 30 lb/in. and that the disks roll without sliding, determine the frequency of vibration...
-
A 15-lb uniform cylinder can roll without sliding on an incline and is attached to a spring AB as shown. If the center of the cylinder is moved 0.4 in. down the incline and released, determine (a)...
-
The crude-oil pumping rig shown is driven at 20 rpm. The inside diameter of the well pipe is 2 in., and the diameter of the pump rod is 0.75 in. The length of the pump rod and the length of the...
-
The community nursing service team provides nursing care to patients in the community, Discuss?
-
Why are angiosperms so diverse (when compared with non-flowering lineages of plants)? How expensive flowers are to produce for the plant (they cost lots of ATP to make); what benefit do they provide...
-
Martinez Company's relevant range of production is 7,500 units to 12,500 units. When it produces and sells 10,000 units, its average costs per unit are as follows: Average Cost Per Unit Direct labor...
Study smarter with the SolutionInn App