Y.A. Khulief 1 MECHANICS OF MACHINES ME-309 Example 3 - 40.

Slides:

Advertisements

Similar presentations

2.7 Tangents, Velocities, & Rates of Change

Advertisements

Unit 6 – Fundamentals of Calculus Section 6

Tangent Lines, Normal Lines, and Rectilinear Motion David Smiley Dru Craft.

Equations of Tangent Lines

Notes Over 10.3 r is the radius radius is 4 units

Equations of Tangent Lines

Find the slope of the tangent line to the graph of f at the point ( - 1, 10 ). f ( x ) = 6 - 4x

Point Value : 20 Time limit : 2 min #1 Find. #1 Point Value : 30 Time limit : 2.5 min #2 Find.

Drawing Tangent “Arc” By Cesar Mendoza.

Derivatives - Equation of the Tangent Line Now that we can find the slope of the tangent line of a function at a given point, we need to find the equation.

Notes Over 6.4 Graph Sine, Cosine Functions Notes Over 6.4 Graph Sine, Cosine, and Tangent Functions Equation of a Sine Function Amplitude Period Complete.

Architecture From Math to Building Design. Scale Scale is a Ratio Scale is a Ratio A ratio compares one thing to another A ratio compares one thing to.

Implicit Differentiation. Objectives Students will be able to Calculate derivative of function defined implicitly. Determine the slope of the tangent.

IGCSE Revision Lesson 3 I can calculate the gradient of a straight line from the co-ordinates of two points on it I can calculate the length and the co-ordinates.

A) Find the velocity of the particle at t=8 seconds. a) Find the position of the particle at t=4 seconds. WARMUP.

Chapter 14 Section 14.3 Curves. x y z To get the equation of the line we need to know two things, a direction vector d and a point on the line P. To find.

WORK AND EFFICIENCY. WHAT IS WORK? Definition:  The use of force to move an object Not all force used to move an object does work The force must be applied.

Calculate the Slope. What is the slope-intercept form of any linear equation?

Gradient of a Curve: this is given by the gradient of the tangent

Physics Chapter 5. Position-Time Graph  Time is always on the x axis  The slope is speed or velocity Time (s) Position (m) Slope = Δ y Δ x.

Change in position along x-axis = (final position on x-axis) – (initial position on x-axis)

Y.A. Khulief 1 MECHANICS OF MACHINES ME-309 S tatic F orce A nalysis.

Section 6.1 Polynomial Derivatives, Product Rule, Quotient Rule.

Y.A. Khulief 1 MECHANICS OF MACHINES ME-309 Yehia A. Khulief, PhD, PE Professor Mechanical Engineering, KFUPM Room , Tel: 2327.

Mechanics Physics12 Equations, relative motion & relative motion Mechanics Physics12 Equations, relative motion & relative motion Equations of motion.

Computing Actual Lengths from a Scale Drawing. Scale Where have you seen this term used? Scale is the ratio of size between the actual object and a model.

GOAL: USE DEFINITION OF DERIVATIVE TO FIND SLOPE, RATE OF CHANGE, INSTANTANEOUS VELOCITY AT A POINT. 3.1 Definition of Derivative.

Acceleration Definition 2 ways to do it Positive acceleration Negative acceleration (deceleration) A change in velocity Change speed and/or Change direction.

ME 201 Engineering Mechanics: Statics Chapter 3 – Part A 3.1 Condition for the Equilibrium of a Particle 3.2 The Free-Body Diagram 3.3 Co-Planar Force.

EXAMPLE 3 Draw common tangents Tell how many common tangents the circles have and draw them. a.b. c. SOLUTION a. 4 common tangents 3 common tangents b.

How Builders Use Maths By Fraser Walker.

2.4 Rates of Change and Tangent Lines Devil’s Tower, Wyoming.

Y.A. Khulief 1 MECHANICS OF MACHINES Reciprocating radial roller follower Oscillating roller follower.

Constant, Average and Instantaneous Velocity Physics 11.

Dr. A. Al-Abduljabbar Mechanical Engineering Department, King Saud University, Riyadh, Saudi Arabia ME 363: Mechanics of Machines.

Notes Over 14.1 Graph Sine, Cosine, and Tangent Functions.

Average and Instantaneous Velocity. Average or Instantaneous? Instantaneous velocity : the velocity of a moving object at one specific moment. Average.

Calcul mental 20 secondes par calcul. 5 ème (-9) - (+4) = (-8) - (+2) = 1 er calcul :

Physics Support Materials Higher Mechanics and Properties of Matter b Solutions to Problems - Equations of Motion 27,27, 28, 33, 34, 35,28,33,34,35, Click.

Graphs of a falling object And you. Objective 1: Graph a position –vs- time graph for an object falling from a tall building for 10 seconds Calculate.

Mean Value Theorem.

Graphical Interpretation of Motion in One Dimension

2.1 Tangents & Velocities.

Find the equation of the tangent line for y = x2 + 6 at x = 3

Chapter Review Sticky Ball Game.

Notes Over 10.3 r is the radius radius is 4 units

Unit 6 – Fundamentals of Calculus Section 6

ME321 Kinematics and Dynamics of Machines

Velocity Vectors Velocity = speed + direction

ME321 Kinematics and Dynamics of Machines

Physics Support Materials Higher Mechanics and Properties of Matter

Equation Review Given in class 10/4/13.

USING GRAPHS TO SOLVE EQUATIONS

Notes Over 6.4 Graph Sine, Cosine Functions.

Section 11.3 Euler’s Method

32 – Applications of the Derivative No Calculator

Chapter Seven Constructions and Scale Drawings

The Chain Rule Section 3.4.

Unit 3 Review (Calculator)

Frequently Asked Questions

Section 9.4 – Solving Differential Equations Symbolically

Equation Review.

Physics: Force, and Motion

12.5: Vector PVA.

Bell Work: Machine Lab What is the equation to find Input Work? (look at note guide from yesterday) Calculate the input work for your ramp in trial 1.

Homework Due Thursday 1st Semester Project Due, Friday

Homework Due Thursday 1st Semester Project Due, Friday

Calculate 9 x 81 = x 3 3 x 3 x 3 x 3 3 x 3 x 3 x 3 x 3 x 3 x =

The Chain Rule Section 2.4.

Balanced scales and equations

Presentation transcript:

Y.A. Khulief 1 MECHANICS OF MACHINES ME-309 Example

Y.A. Khulief 2 MECHANICS OF MACHINES Example: Determine

Y.A. Khulief 3 MECHANICS OF MACHINES suitable Draw the mechanism to a suitable scale; e.g ?

Y.A. Khulief 4 MECHANICS OF MACHINES Write relative velocity equation *   

Y.A. Khulief 5 MECHANICS OF MACHINES Write relative acc equation *            

Y.A. Khulief 6 MECHANICS OF MACHINES Acc Calculations

Y.A. Khulief 7 MECHANICS OF MACHINES Write relative acc equation Tangent at B Where is point ?

Y.A. Khulief 8 MECHANICS OF MACHINES