BuyFind*arrow_forward*

4th Edition

Andrew Pytel And Jaan Kiusalaas

Publisher: CENGAGE L

ISBN: 9781305501607

Chapter 1, Problem 1.6P

Textbook Problem

31 views

In a certain application, the coordinate a and the position coordinate *x* of a particle are related by
*g* is the gravitational acceleration, *k* is. a constant, and W is the weight of the particle. Show that this equation is dimensionally consistent if the dimension of *k* is [F/L].

To determine

**To Show:**

The given equation is dimensionally consistent if the dimension of k is

**Given Information:**

**Calculation:**

Assume that the given equation is dimensionally consistent. Then,

International Edition---engineering Mechanics: Statics, 4th Edition

Show all chapter solutions

Ch. 1 - A person weighs 30 lb on the moon, where...Ch. 1 - The radius and length of a steel cylinder are 40...Ch. 1 - Convert the following: (a) 400lbft to knm; (b)...Ch. 1 - A compact car travels 30 mi on one gallon of gas....Ch. 1 - The kinetic energy of a car of mass m moving with...Ch. 1 - In a certain application, the coordinate a and the...Ch. 1 - When a force F acts on a linear spring, the...Ch. 1 - In some applications dealing with very high...Ch. 1 - A geometry textbook gives the equation of a...Ch. 1 - A differential equation is d2ydt2=Ay2+Byt where y...

Ch. 1 - The position coordinate x of a particle is...Ch. 1 - A differential equation encountered in the...Ch. 1 - Determine the dimensions of constants A and B far...Ch. 1 - The typical power output of a compact car engine...Ch. 1 - Two 12-kg spheres are placed 400 mm apart. Express...Ch. 1 - Two identical spheres of radius 8 in. and weighing...Ch. 1 - A man weighs 170 lb on the surface of the earth....Ch. 1 - Use Eq. (1.4) to show that the weight of an object...Ch. 1 - Plot the earths gravitational acceleration g(m/s2)...Ch. 1 - Find the elevation h (km) where the weight of an...Ch. 1 - Calculate the gravitational force between the...Ch. 1 - The magnitudes of the two velocity vectors are...Ch. 1 - Determine the magnitudes of vectors v1 and v2 so...Ch. 1 - The pole AB is held up by the rope attached to B....Ch. 1 - Resolve the 20-kN force into components along the...Ch. 1 - The velocity vector of the boat has two...Ch. 1 - Two members of a truss apply the forces shown to...Ch. 1 - Two members of a truss apply the forces shown to...Ch. 1 - Determine the resultant of the position vectors A...Ch. 1 - Resolve the position vector A of the car (measured...Ch. 1 - Resolve the 360-lb force into components along the...Ch. 1 - The supporting cables AB and AC are oriented so...Ch. 1 - The two forces shown act on the structural member...Ch. 1 - The resultant of the two forces has a magnitude of...Ch. 1 - The forces acting on the bob of the pendulum are...Ch. 1 - A surveyor sights a target at C from points A and...Ch. 1 - Knowing that the resultant of the two forces is...Ch. 1 - To move the oil drum, the resultant of the three...Ch. 1 - The resultant of the 50-Ib and 30-lb forces is R....Ch. 1 - Obtain the rectangular representation of the force...Ch. 1 - The length of the position vector r is 240 mm....Ch. 1 - Determine the rectangular components of the 560-lb...Ch. 1 - The coordinates of points A and B are (-3, 0, 2)...Ch. 1 - The slider travels along the guide rod AB with the...Ch. 1 - Find the rectangular representation of the force...Ch. 1 - The magnitude of the force F is 160 lb. Find its...Ch. 1 - A rifle at A is fired at a target at B. If the...Ch. 1 - The pole OB is subjected to the 6004b force at B....Ch. 1 - The cables AB and AC are attached to the frame...Ch. 1 - The two forces are applied to the end of the boom...Ch. 1 - The magnitudes of the three forces are...Ch. 1 - Given that P=120lb and Q=130lb, find the...Ch. 1 - Knowing that P=90lb and that the resultant of P...Ch. 1 - If R is the resultant of the forces P and Q, find...Ch. 1 - The force R is the resultant of P and 0. Determine...Ch. 1 - The vertical post is secured by three cables. The...Ch. 1 - Compute the dot product A - B for each of the...Ch. 1 - Compute the cross product C=AB for each of the...Ch. 1 - Given r=4i6j+2km (position vector) F=20i+40j30kN...Ch. 1 - Compute AB and CB for the position vectors shown.Ch. 1 - Use the dot product to find the angle between the...Ch. 1 - Use the dot product to find the angle between the...Ch. 1 - Let A and B be two nonparallel vectors that lie in...Ch. 1 - Determine (a) the angle between the position...Ch. 1 - Find a unit vector that is perpendicular to both...Ch. 1 - The three points A(0,2,2),B(1,4,1), and C(3,0,0)...Ch. 1 - For the position vectors P and Q shown, determine...Ch. 1 - Compute the orthogonal Component of F=6i+20j12klb...Ch. 1 - Compute the value of the scalar a for which the...Ch. 1 - Resolve A=3i+5j4k in. into two vector...Ch. 1 - The force F=5i+12j+4k lb is applied to the handle...Ch. 1 - Determine the value of the scalar a if the...Ch. 1 - Resolve the force F=20i+30j+50klb into two...Ch. 1 - It can be show that a plane area may he...Ch. 1 - The coordinates of the corners of a triangle ABC...Ch. 1 - Show that |abc| equals the volume of a...

Find more solutions based on key concepts

Show solutions Find support reactions at A and B and then calculate the axial force N, shear force V, and bending moment M at ...

Mechanics of Materials (MindTap Course List)

Explain how the plugs fire in a two-plug-per-coil DIS system.

Automotive Technology: A Systems Approach (MindTap Course List)

What must be known to use the compound-rest taper turning method?

Precision Machining Technology (MindTap Course List)

18. What is treasury stock?

Cornerstones of Financial Accounting

A(n) _____________________ is a graphical representation that summarizes the steps a consumer takes in making t...

Fundamentals of Information Systems

This chapter begins with an architecture checklist. If you had to rank the items, from most important to least ...

Systems Analysis and Design (Shelly Cashman Series) (MindTap Course List)

A gas at T = 300 K and P = 1 bar is contained in a rigid, rectangular vessel that is 2 meters long, 1 meter wid...

Fundamentals of Chemical Engineering Thermodynamics (MindTap Course List)

Which PL/SQL command selects the next row in a cursor?

A Guide to SQL

VocabularyState the meaning of the following terms: Relative Humidity _____ Troposphere _____ Stratosphere ____...

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

What is meant by the term business analytics? What other terms have been used for business analytics systems?

Principles of Information Systems (MindTap Course List)

A hydrometer test has the following result: Gs = 2.65, temperature of water = 26 C, and L = 10.4 cm at 45 minut...

Principles of Geotechnical Engineering (MindTap Course List)

Write a query to display the author ID and the number of books written by that author. Sort the results in desc...

Database Systems: Design, Implementation, & Management

A furnace dedicated to paper (assume pure cellulose, C6H10O5) operates at 15 tons/hour, at 100% cess air. _How ...

Solid Waste Engineering

For a soil, given: D10 = 0.08 mm D30 = 0.22 mm D60 = 0.41 mm Calculate the uniformity coefficient and the coeff...

Fundamentals of Geotechnical Engineering (MindTap Course List)

How can you protect against shoulder surfing?

Principles of Information Security (MindTap Course List)

Using the Web, research Stuxnet. When was it discovered? What kind of systems does it target? Who created it an...

Management Of Information Security

Distinguish between a decision Support system and an expert system.

Fundamentals of Information Systems

Write a query to display the number of products in each category that have a water base, sorted by category (Fi...

Database Systems: Design, Implementation, & Management

Where does the water flow after leaving the impeller wheel? a. ______________________________ b. ______________...

EBK ELECTRICAL WIRING RESIDENTIAL

Use LRFD and select a double-angle shape for the top chord of the truss of Problem 3.8-2. UseKx=Ky=1.0. Assume ...

Steel Design (Activate Learning with these NEW titles from Engineering!)

The symbol shown is a a. double-acting push button. b. two-position selector switch. c. three-position selector...

Electric Motor Control

Technician A says that the 4WD mode of part-time 4WD systems is designed to be used only when driving off the r...

Automotive Technology

Determine the equations for shear and bending moment for the beam shown. Use the resulting equations to draw th...

Structural Analysis

Which of the following features of a network connection between a switch and server is not Improved by link agg...

Network+ Guide to Networks (MindTap Course List)

Describe the disk defragmentation process.

Enhanced Discovering Computers 2017 (Shelly Cashman Series) (MindTap Course List)

What is the purpose of using ceramic backup tapes on groove welds?

Welding: Principles and Applications (MindTap Course List)

If your motherboard supports ECC DDR3 memory, can you substitute non-ECC DDR3 memory?

A+ Guide to Hardware (Standalone Book) (MindTap Course List)