Introduction to Mechanisms
Introduction to Mechanisms
Yi Zhang with Susan Finger
Stephannie Behrens
Table of Contents
1 Physical Principles
This chapter introduces the basic physical principles behind mechanisms as well as basic concepts and principles required for this course.
1.1 Force and Torque
1.1.1 Force
Force: an agent or influence that, if applied to a free body results chiefly in an acceleration of the body and sometimes in elastic deformation and other effects.
Every day we deal with forces of one kind or another. A pressure is a force. The earth exerts a force of attraction for all bodies or objects on its surface. To study the forces acting on objects, we must know how the forces are applied, the direction of the forces and their value. Graphically, forces are often represented by a vector whose end represents the point of action.
A mechanism is what is responsible for any action or reaction. Machines are based on the idea of transmitting forces through a series of predetermined motions. These related concepts are the basis of dynamic movement.
1.1.2 Torque
Torque: Something that produces or tends to produce rotation and whose effectiveness is measured by the product of the force and the perpendicular distance from the line of action of the force to the axis of rotation.
Consider the lever shown in Figure 1-1. The lever is a bar that is free to turn about the fixed point, A, called the fulcrum; a weight acts on the one side of the lever, and a balancing force acts on the other side of the lever.
Figure 1-1 A lever with balanced forces
To analyze levers, we need to find the torques of the forces acting on the lever. To get the torque of force W about point A, multiply W by l1, its distance from A. Similarly F x l2 is the torque of F about fulcrum A.
1.2 Motion
Motion: a change of position or orientation.
1.2.1 Motion Along a Straight Path
We begin our study of motion with the simplest case, motion in a straight line.
Yi Zhang with Susan Finger
Stephannie Behrens
Table of Contents
1 Physical Principles
This chapter introduces the basic physical principles behind mechanisms as well as basic concepts and principles required for this course.
1.1 Force and Torque
1.1.1 Force
Force: an agent or influence that, if applied to a free body results chiefly in an acceleration of the body and sometimes in elastic deformation and other effects.
Every day we deal with forces of one kind or another. A pressure is a force. The earth exerts a force of attraction for all bodies or objects on its surface. To study the forces acting on objects, we must know how the forces are applied, the direction of the forces and their value. Graphically, forces are often represented by a vector whose end represents the point of action.
A mechanism is what is responsible for any action or reaction. Machines are based on the idea of transmitting forces through a series of predetermined motions. These related concepts are the basis of dynamic movement.
1.1.2 Torque
Torque: Something that produces or tends to produce rotation and whose effectiveness is measured by the product of the force and the perpendicular distance from the line of action of the force to the axis of rotation.
Consider the lever shown in Figure 1-1. The lever is a bar that is free to turn about the fixed point, A, called the fulcrum; a weight acts on the one side of the lever, and a balancing force acts on the other side of the lever.
Figure 1-1 A lever with balanced forces
To analyze levers, we need to find the torques of the forces acting on the lever. To get the torque of force W about point A, multiply W by l1, its distance from A. Similarly F x l2 is the torque of F about fulcrum A.
1.2 Motion
Motion: a change of position or orientation.
1.2.1 Motion Along a Straight Path
We begin our study of motion with the simplest case, motion in a straight line.