Introduction To Statics Lesson Plan for 12th Grade Example Students

Topic: Introduction to Statics

Objectives & Outcomes

• To introduce the basic concepts and principles of mechanics.
• To understand the relationship between forces and equilibrium in a system.
• To be able to apply the principles of statics to solve problems related to static equilibrium.

Introduction

• Mechanics is the study of motion and the interaction of forces on bodies in motion.
• In mechanics, a body is considered to be in static equilibrium if no net force is acting on it; that is, its total zero.
• In a system where forces are acting on multiple bodies, the bodies are in static equilibrium if the net force on each body is zero.

Basic Concepts and Principles of Mechanics

• A force is a vector that can be identified by its magnitude and direction.
• When two or more forces act on a body, the total force on the body is the sum of the individual forces.
• The vector sum of forces for a given body is also called the resultant force.
• A body experiencing a resultant force will experience a resultant torque.
• A body in static equilibrium will experience no resultant torque.
• For a system of multiple bodies that are experiencing forces and torques, the bodies are in static equilibrium if the net torque on each body is zero.

Example 1:

Consider a system of two bodies (Body A and Body B) connected by a rope that passes over a pulley. There is a force of 50 N acting on Body A and a 30 N force acting on Body B. The pulley has a moment of inertia of 100 J. What is the net torque on the system?

• We can use the following equation to calculate the net torque:

Resultant torque = Sum of individual torques = (50 N)(1) + (30 N)(2) = 80 N·m

• Since the net torque is not zero, the system is not in

Table of Contents

Introduction

Basic Concepts and Principles of Mechanics

Example 1

Answers

Answers

Example 1:

1) 50 N·m

Table of Contents

Introduction

Basic Concepts and Principles of Mechanics

Example 1

Answers

Introduction

• Mechanics is the study of motion and the interaction of forces on bodies in motion.
• In mechanics, a body is considered to be in static equilibrium if no net force is acting on it; that is, its total zero.
• In a system where forces are acting on multiple bodies, the bodies are in static equilibrium if the net force on each body is zero.
• A force is a vector that can be identified by its magnitude and direction.
• When two or more forces act on a body, the total force on the body is the sum of the individual forces.
• The vector sum of forces for a given body is also called the resultant force.
• A body experiencing a resultant force will experience a resultant torque.
• A body in static equilibrium will experience no resultant torque.
• For a system of multiple bodies that are experiencing forces and torques, the bodies are in static equilibrium if the net torque on each body is zero.
• Mechanics is the study of motion and the interaction of forces on bodies in motion.
• In mechanics, a body is considered to be in static equilibrium if no net force is acting on it; that is, its total zero.
• In a system where forces are acting on multiple bodies, the bodies are in static equilibrium if the net force on each body is zero.
• A force is a vector that can be identified by its magnitude and direction.
• When two or more forces act on a body, the total force on the body is the sum of the individual forces.
• The vector sum of forces for a given body is also called the resultant force.
• A body experiencing a resultant force will experience a resultant torque.
• A body in static equilibrium will experience no resultant torque.
• For a system of multiple bodies that are experiencing forces and torques, the bodies are in static equilibrium if the net torque on each body is zero.

Basic Concepts and Principles of Mechanics

• A force is a vector that can be identified by its magnitude and direction.
• When two or more forces act on a body, the total force on the body is the sum of the individual forces.
• The vector sum of forces for a given body is also called the resultant force.
• A body experiencing a resultant force will experience a resultant torque.
• A body in static equilibrium will experience no resultant torque.
• For a system of multiple bodies that are experiencing forces and torques, the bodies are in static equilibrium if the net torque on each body is zero.
• A body in static equilibrium will experience no resultant torque.
• For a system of multiple bodies that are experiencing forces and torques, the bodies are in static equilibrium if the net torque on each body is zero.
• A body experiencing a resultant force will experience a resultant torque.
• For a system of multiple bodies that are experiencing forces and torques, the bodies are in static equilibrium if the net torque on each body is zero.
• A force is a vector that can be identified by its magnitude and direction.
• When two or more forces act on a body, the total force on the body is the sum of the individual forces.
• The vector sum of forces for a given body is also called the resultant force.
• A body experiencing a resultant force will experience a resultant torque.
• A body in static equilibrium will experience no resultant torque.
• For a system of multiple bodies that are experiencing forces and torques, the bodies are in static equilibrium if the net torque on each body is zero.
• A force is a vector that can be identified by its magnitude and direction.
• When two or more forces act on a body, the total force on the body is the sum of the individual forces.
• The vector sum of forces for a given body is also called the resultant force.
• A body experiencing a resultant force will experience a resultant torque.
• A body in static equilibrium will experience no resultant torque.
• For a system of multiple bodies that are experiencing forces and torques, the bodies are in static equilibrium if the net torque on each body is zero.
• A body in static equilibrium will experience no resultant torque.
• For a system of multiple bodies that are experiencing forces and torques, the bodies are in static equilibrium if the net torque on each body is zero.
• A body experiencing a resultant force will experience a resultant torque.
• A force is a vector that can be identified by its magnitude and direction.
• When two or more forces act on a body, the total force on the body is the sum of the individual forces.
• The vector sum of forces for a given body is also called the resultant force.
• A body experiencing a resultant force will experience a resultant torque.
• A body in static equilibrium will experience no resultant torque.-For a system of multiple bodies that are experiencing forces and torques, the bodies are in static equilibrium if the net torque on each body is zero.
• A force is a vector that can be identified by its magnitude and direction.
• When two or more forces act on a body, the total force on the body is the sum of the individual forces.
• The vector sum of forces for a given body is also called the resultant force.
• A body experiencing a resultant force will experience a resultant torque.
• A body in static equilibrium will experience no resultant torque.-For

A body in static equilibrium will experience no resultant torque.

• For a system of multiple bodies that are experiencing forces and torques, the bodies are in static equilibrium if the net torque on each body is zero.
• A force is a vector that can be identified by its magnitude and direction.
• When two or more forces act on a body, the total force on the body is the sum of the individual forces.
• The vector sum of forces for a given body is also called the resultant force.
• A body experiencing a resultant force will experience a resultant torque.
• A body in static equilibrium will experience no resultant torque.-For a system of multiple bodies that are experiencing forces and torques, the bodies are in static equilibrium if the net torque on each body is zero.
• A force is a vector that can be identified by its magnitude and direction.
• When two or more forces act on a body, the total force on the body is the sum of the individual forces.
• The vector sum of forces for a given body is also called the resultant force.
• A body experiencing a resultant force will experience a resultant torque.
• A body in static equilibrium will experience no resultant torque.-For a system of multiple bodies that are experiencing forces and torques, the bodies are in static equilibrium if the net torque on each body is zero.

Purpose: to introduce the concept of a force, and how a force acts on a body to create a torque

Supplies: yarn, paper clips, pencils, meter sticks, and any other objects you can find that are lightweight and can be easily suspended

Equipment: pulley and scale, spring scale, or any other device that measures the force and torque on a body in static equilibrium

Procedure:

1. Ask students to suspend a few objects from the ceiling using yarn, and then measure the tension in the yarn.

• For example, you could suspend a pencil, pencil sharpener and pair of scissors from the ceiling, and then measure the tension in the yarn.
• You should find that the tension in the yarn is the same for all of the objects, regardless of their weight.

2. Ask students to set the objects on a table and measure the tension in the yarn again.

• You should find that the tension in the yarn is no longer the same for all of the objects, and that the pencil is now much easier to suspend than the scissors and pencil sharpener.
• Ask students to explain why this is the case.

3. Ask students to individually hold a piece of paper against their chest using one hand, and then measure the force on the paper using a scale or spring scale.

• You should find that for a given paper, the force is the same regardless of how it is held against the chest.

4. Ask students to hold the paper against their chest using both hands, and then measure the force on the paper using a scale or spring scale.

• You should find that for a given paper, the force is still the same, but now it is much easier to hold the paper against the chest using both hands than it was using one hand.

5. Ask students to hold a pencil against their chest using both hands, and then measure the force on the pencil using a scale or spring scale.

• You should find that for a given pencil, the force is the same regardless of how it is held against the chest.

6. Ask students to stand in a circle holding hands, and then measure the force on each person's hand using a scale or spring scale.

• You should find that the force is the same for each person, regardless of their position in the circle.
• Ask students to explain why this is the case.

7. Ask students to find a partner, and then measure the force on one partner's hand using a scale or spring scale.

• Have one partner hold a pencil against their chest using both hands, and have the other partner try to push the pencil away from the chest.
• You should find that the force on the pencil is the same regardless of whether it is held against the chest or being pushed away from the chest.
• Ask students to explain why this is the case.

8.

Ask students to list some situations in which they might experience a force.

• Ask students to list some examples of forces they have experienced in the past.

9.Ask students to explain in their own words what a force is, and how it can cause a torque to act on a body.

• Ask students to give examples of forces they have experienced in the past.
• Ask students to list some situations in which they might experience a torque.
• Ask students to give examples of torques they have experienced in the past.
• Ask students to list some situations in which they might experience both a force and a torque.
• Ask students to give examples of forces and torques they have experienced in the past.

Closure:

• Ask students to share any thoughts or questions they have about the lesson.
• Ask students to share any examples of forces and torques they have experienced in the past.
• Ask students to share any situations in which they might experience both a force and a torque.
• Ask students to share any examples of forces and torques they have experienced in the past.
• Ask students to share any situations in which they might experience both a force and a torque.
• Ask students to share any examples of forces and torques they have experienced in the past.
• Ask students to share any thoughts or questions they have about the lesson.
• Ask students to share any examples of forces and torques they have experienced in the past.
• Ask students to share any situations in which they might experience both a force and a torque.
• Ask students to share any examples of forces and torques they have experienced in the past.
• Ask students to share any situations in which they might experience both a force and a torque.
• Ask students to share any examples of forces and torques they have experienced in the past.
• Ask students to share any thoughts or questions they have about the lesson.
• Ask students to share any examples of forces and torques they have experienced in the past.
• Ask students to share any situations in which they might experience both a force and a torque.
• Ask students to share any examples of forces and torques they have experienced in the past.
• Ask students to share any situations in which they might experience both a force and a torque.
• Ask students to share any examples of forces and torques they have experienced in the past.
• Ask students to give examples of situations in which they might experience both a force and a torque.
• Ask students to give examples of torques they have experienced in the past.
• Ask students to give examples of situations in which they might experience both a force and a torque.
• Ask students to give examples of forces and torques they have experienced in the past.
• Ask students to explain in their own words what a torque is, and how it can

cause a rotation to happen about a fixed axis.

• Ask students to list some examples of forces they have experienced in the past.
• Ask students to list some situations in which they might experience a force.
• Ask students to list some examples of torques they have experienced in the past.
• Ask students to list some situations in which they might experience both a force and a torque.
• Ask students to list some situations in which they might experience both a force and a torque.
• Ask students to list some examples of forces and torques they have experienced in the past.
• Ask students to give examples of situations in which they might experience both a force and a torque.
• Ask students to give examples of torques they have experienced in the past.
• Ask students to give examples of situations in which they might experience both a force and a torque.
• Ask students to give examples of forces and torques they have experienced in the past.
• Ask students to explain in their own words what a torque is, and how it can cause a rotation to happen about a fixed axis.
• Ask students to list some examples of forces they have experienced in the past.
• Ask students to list some situations in which they might experience a force.
• Ask students to list some examples of torques they have experienced in the past.
• Ask students to list some situations in which they might experience both a force and a torque.
• Ask students to list some situations in which they might experience both a force and a torque.
• Ask students to list some examples of forces and torques they have experienced in the past.
• Ask students to give examples of situations in which they might experience both a force and a torque.
• Ask students to give examples of torques they have experienced in the past.
• Ask students to give examples of situations in which they might experience both a force and a torque.
• Ask students to give examples of forces and torques they have experienced in the past.
• Ask students to explain in their own words what a torque is, and how it can cause a rotation to happen about a fixed axis.
• Ask students to list some examples of forces they have experienced in the past.
• Ask students to list some situations in which they might experience a force.
• Ask students to list some examples of torques they have experienced in the past.
• Ask students to list some situations in which they might experience both a force and a torque.
• Ask students to list some situations in which they might experience both a force and a torque.
• Ask students to list some examples of forces and torques they have experienced in the past.
• Ask students to give examples of situations in which they might experience both a force and a torque.
• Ask students to give examples of torques they have experienced in the past.
• Ask students to