Moment of a Force 1 Objectives 1. Introduce the concept of the moment of a force and show how to calculate it in 2 dimensions. 2. Define the moment of a couple.
3. Present methods for determining the resultants force systems. 2 Force F tends to rotate the beam clockwise about A with moment MA = FdA Force F tends to rotate the beam counterclockwise
about B with moment MB = FdB Hence support at A prevents the rotation 3 Magnitude For magnitude of MO,
MO = Fd where d = moment arm or perpendicular distance from the axis at point O to its line of action of the force Units for moment is N.m 4 Direction
FMD 5 Example1 For each case, find the moment of the force about the point O
6 A MO = 7 B
MO = 8 C m N
m m MO = 9 D m
m m N MO = 10
E MO = 11 Example2 Determine the
moment of the 800 N force about points A, B, C, and D 12 Resultant Moment cw
M Fd A 13 Principles of Moments Also known as Varignons Theorem Moment of a force about a point is equal to the sum of the moments of the
forces components about the point 14 Example 3 Determine the resultant moment
of the four forces. 15 Example4 Determine the moment of the force about A. 16 17
Example5 Determine the moment of the force about 0. 18 19 Moment of a Couple
A couple is two parallel forces having the same magnitude and opposite directions separated by a distance d. 20
Moment of a Couple Resultant Force is zero. Effect of couple is a moment 21
Moment of a Couple A Couple consists of two parallel forces, equal magnitude, opposite directions, and separated a distant d apart. A Couple Moment about any point O equals the sum of the moments of both forces. 22
Example6 150N 600N 100N 250N A 4.80m long beam is subjected to the forces shown. Reduce the given system of forces to
a) an equivalent force couple system at A b) single force or resultant 23 Important Points 1. The moment of a force indicates the tendency of the body to cause rotation about a point.
2. Magnitude M=Fd d is distance from point O to line of action of F 3. Principle of Moments 24 QUIZ 1. What is the moment of the 10 N force about point A (MA)?
F = 12 N A) 3 Nm B) 36 Nm C) 12 Nm D) (12/3) Nm E) 7 Nm d=3m A 25
QUIZ 2. Using the CW direction as positive, the net moment of the two forces about point P is A) 10 N m B) 20 N m C) - 20 N m D) 40 N m E) - 40 N m 10 N
3m P 2m 5N
26 QUIZ 3. If F1 = 1 N, x1 = 1 m, F2 = 2 N and x2 = 2 m, what is the location of FR, i.e., the distance x. A) 1 m B) 1.33 m C) 1.5 m D) 1.67 m E) 2 m
The role playing segment cemented it in her heart. Mark & Diane Britton Illinois/Wisconsin 4,472,803 Children under 18 Tim & Sherry Thomas Bruce & Marti Brumfield Roy & Betty Koopman Ken & Denise Krup Don & Nancy Estep J.P. &...
* Greening of economic agencies Evolution of environmental strategies in China (12) * Greening of economic agencies Evolution of environmental strategies in China (13) (Source: Shi, H. and L. Zhang, 2006) * Economic actors step in Search for more affordable...
The film Shrek pairs characters with contrasting personalities, which gives the message that people can get along no matter how different they may be. [Perhaps not the greatest, but it is enough to get the point across, and the example...
Causal Reasoning. Reasoning about cause - effect relationships is called causal reasoning. The representation of causal knowledge in logic may be represented by means of collection of logical implications of the form : cause. effect. Causal Reasoning.
The AP Environmental Science Exam is 3 hours long and has two parts — multiple choice questions and free response questions. ... APES EXAM POWERPOINT YOUTUBE REVIEW . PART 1 OF 6. PART 2 OF 6. PART 3 OF 6....
Redeem an access code which may have been included in a textbook bundle you purchased from the bookstore. You can also utilize the payment grace period and choose to pay later. The grace period will be clearly identified on the...
Demonstrates exceptional understanding of work and the job. Identifies unique, innovative and workable solutions to problems. ... Fine-Tune the Size and Balance of the Student Body. Goal 3: Create the Optimal Campus Environment. SMART Goal Examples. Ex: