Problem The force P has a magnitude

Slides:

Advertisements

Similar presentations

STATICS OF RIGID BODIES

Advertisements

ENGR-1100 Introduction to Engineering Analysis

Problem A small 200-g collar C can slide on a

KULIAH IV MEKANIKA TEKNIK MOMEN GAYA & KOPEL

Rigid Bodies: Equivalent Systems of Forces

Exam 1, Fall 2014 CE 2200.

MOMENT OF A COUPLE (Section 4.6)

Problem 4-b 4 in 4 in 20 lb 40 lb The T-shaped bracket shown is

Problem lb A couple of magnitude 30 lb

APPLICATION OF VECTOR ADDITION

Make a sketch Problem: A 10.0 kg box is pulled along a horizontal surface by a rope that makes a 30.0 o angle with the horizontal. The tension in the rope.

MOMENT OF A COUPLE Today’s Objectives: Students will be able to

Moment of a Force Objects External Effects a particle translation

READING QUIZ The resultant force of a given couple system is always _______. A) positive B) negative C) zero D) None of the above.

ME 221Lecture 51 ME 221 Statics LECTURE #4 Sections:

MOMENT AND COUPLES.

ME221Lecture 101 ME221 Statics LECTURE # 10 Sections 3.4 & 3.6.

According to properties of the dot product, A ( B + C ) equals _________. A) (A B) +( B C) B) (A + B) ( A + C ) C) (A B) – ( A C) D) ( A B ) + ( A C) READING.

EQUIVALENT SYSTEMS, RESULTANTS OF FORCE AND COUPLE SYSTEM, & FURTHER REDUCTION OF A FORCE AND COUPLE SYSTEM Today’s Objectives: Students will be able.

4.6 Moment due to Force Couples

Chapter 3: Force System Resultants

Lecture #6 part a (ref Chapter 4)

Physics. ELECTROSTATICS - 2 Electric field due to a point charge Electric field due to a dipole Torque and potential energy of a dipole Electric lines.

MOMENT ABOUT AN AXIS In-Class Activities: Check Homework Reading Quiz Applications Scalar Analysis Vector Analysis Concept Quiz Group Problem Solving Attention.

Engineering Mechanics: Statics

MOMENT OF A COUPLE Today’s Objectives: Students will be able to

An-Najah National University College of Engineering

The Wrench: Let’s suppose that we have already reduced a complicated force system to single (resultant ) force,, and a single couple with the moment,,

Chapter 3 Rigid Bodies : Equivalent Systems of Forces Part -2

RIGID BODIES: EQUIVALENT SYSTEM OF FORCES

4.4 Principles of Moments Also known as Varignon’s Theorem

EGR 280 Mechanics 2 – Moments, equivalent systems of forces.

Equivalent Systems of Forces

MOMENT OF A COUPLE In-Class activities: Check Homework Reading Quiz Applications Moment of a Couple Concept Quiz Group Problem Solving Attention Quiz Today’s.

Problem 4-a P The semicircular rod ABCD is a

Theoretical Mechanics STATICS KINEMATICS * Navigation: Right (Down) arrow – next slide Left (Up) arrow – previous slide Esc – Exit Notes and Recommendations:

Chapter Four Laith Batarseh Home NextPrevious End.

Statics, Fourteenth Edition R.C. Hibbeler Copyright ©2016 by Pearson Education, Inc. All rights reserved. In-Class activities: Check Homework Reading Quiz.

College of Engineering CIVE 1150 Summer a = 200mm W = 16Kg*9.8m/s 2 W = 156.9N Find tension in each of the three cords.

1 The scalar product or dot product between two vectors P and Q is defined as Scalar products: -are commutative, -are distributive, -are not associative,

Cont. ERT 146 Engineering Mechanics STATIC. 4.4 Principles of Moments Also known as Varignon ’ s Theorem “ Moment of a force about a point is equal to.

Problem c 240 mm b x B A z y Collars A and B are connected by the wire AB and can slide freely on the rods shown. Knowing that the length of the.

Couple and Couple Moment

CE Statics Chapter 5 – Lectures 2 and 3. EQUATIONS OF EQUILIBRIUM The body is subjected to a system of forces which lies in the x-y plane. From.

Select the system that is equivalent to J. A) K B) L C) M D) N READING QUIZ (L) F Fd o F p d o F (J) Fd o F (K) Fd o (M) p o (N)

SIMPLIFICATION OF FORCE AND COUPLE SYSTEMS & FURTHER SIMPLIFICATION OF A FORCE AND COUPLE SYSTEM Today’s Objectives: Students will be able to: a)Determine.

P M  R A B C Problem Collar B can slide along rod AC and is attached by a pin to a block that can slide in the vertical slot shown. Derive an expression.

The forces acting on a rigid body can be separated into two groups: (1) external forces (representing the action of other rigid bodies on the rigid body.

EQUIVALENT SYSTEMS, RESULTANTS OF FORCE AND COUPLE SYSTEM, & FURTHER REDUCTION OF A FORCE AND COUPLE SYSTEM Today’s Objectives: Students will be able to:

Sin x = Solve for 0° ≤ x ≤ 720°

Problem Two uniform rods each of weight W and length L are maintained in the position shown by a couple M 0 applied to rod CD. Knowing that the coefficient.

D C B A aaa  30 o P Problem 4-e Rod AD supports a vertical load P and is attached to collars B and C, which may slide freely on the rods shown. Knowing.

Force is a Vector A Force consists of: Magnitude Direction –Line of Action –Sense Point of application –For a particle, all forces act at the same point.

Lecture #6 Moments, Couples, and Force Couple Systems.

Force System Resultants 4 Engineering Mechanics: Statics in SI Units, 12e Copyright © 2010 Pearson Education South Asia Pte Ltd.

Sample Problem 3.6 Alternatively, compute the sum of the moments of the four forces about D. Only the forces at C and E contribute to the moment about.

Sample Problem 3.5 A cube is acted on by a force P as shown. Determine the moment of P about A about the edge AB and about the diagonal AG of the cube.

MOMENT OF A FORCE ABOUT A POINT

The moment of F about O is defined as

Equivalent Systems.

STATICS (ENGINEERING MECHANICS-I)

Chapter Objectives Concept of moment of a force in two and three dimensions Method for finding the moment of a force about a specified axis. Define the.

2 Understanding Variables and Solving Equations.

Forces and Moments MET 2214 Ok. Lets get started.

Problem 4-d Rod AC is supported by a pin and

Force-Couple Systems.

CE Statics Lecture 13.

Presentation transcript:

Problem 3.154 The force P has a magnitude of 250 N and is applied at the end C of a 500 mm rod AC attached to a bracket at A and B. Assuming a = 30o and b = 60o, replace P with (a) an equivalent force-couple system at B , (b) an equivalent system formed by two parallel forces applied at A and B. a b P C B A 200 mm 300 mm

Solving Problems on Your Own a b P C B A 200 mm 300 mm The force P has a magnitude of 250 N and is applied at the end C of a 500 mm rod AC attached to a bracket at A and B. Assuming a = 30o and b = 60o, replace P with (a) an equivalent force-couple system at B , (b) an equivalent system formed by two parallel forces applied at A and B. 1. Replace a force with an equivalent force-couple system at a specified point. The force of the force-couple system is equal to the original force, while the required couple vector is equal to the moment of the original force about the given point.

S F : F = P or F = 250 N 60o S MB : M = _ (0.3 m)(250 N) = _75 N Problem 3.154 Solution a b P C B A 200 mm 300 mm Replace a force with an equivalent force-couple system at a specified point. (a) Equivalence requires: S F : F = P or F = 250 N 60o S MB : M = _ (0.3 m)(250 N) = _75 N The equivalent force couple system at B is: F = 250 N 60o, M = 75 N . m

(b) Require: The two force systems are equivalent. Problem 3.154 Solution a b P C B A 200 mm 300 mm (b) Require: The two force systems are equivalent. B A C 60o 250 N 30o F FB FA x y =

S Fy : _250 = _ FA sin F _ FB sin F If FA = _ FB then _ 250 = 0 reject Problem 3.154 Solution B A C 60o 250 N 30o F FB FA x y = Equivalence then requires: S Fx : 0 = FA cos F + FB cos F FA = _ FB or cos F = 0 S Fy : _250 = _ FA sin F _ FB sin F If FA = _ FB then _ 250 = 0 reject Consequently cos F = 0 or F = 90o and FA + FB = 250

S MB : _ (0.3 m)( 250 N) = (0.2 m) FA or FA = _ 375 N and FB = + 675 N Problem 3.154 Solution B A C 60o 250 N 30o x y C B = F A FB F FA Also: + S MB : _ (0.3 m)( 250 N) = (0.2 m) FA or FA = _ 375 N and FB = + 675 N FA = 375 N 60o, FB = 625 N 60o