Motion and Forces - Study Notes

Overview

• General Science 1 – Week 2: Motion, Translational & Rotational Motion, and Sustainable Development Goals (SDGs).

• Frameworks referenced:

  • MahuSCIE framework: SHARE | CLARIFY | INQUIRE | ENGAGE

  • WURI: The World University Rankings for Innovation

• SDGs highlighted on slides:

  • 4 Quality Education

  • 7 Affordable and Clean Energy

  • 11 Sustainable Cities and Communities

• Content focus: motion concepts, Newton’s laws, types of motion (translational, rotational, vibrational), relation between linear and angular motion, and practical applications (including ergonomic designs and human movement).

• Activity-based learning indicated through demonstrations and a dance choreography performance task to illustrate motion concepts.

Objectives

• Understand the concept of motion and its significance in everyday life.

• Describe and explain Newton’s three laws of motion and their real-life applications.

• Identify and differentiate various types of motion, with emphasis on translational and rotational motion.

• Compare and contrast translational and rotational motion in terms of linear and angular quantities.

• Demonstrate the relationship between linear and angular motion through activities involving human movement and ergonomic designs.

MOTION: Laws, Elements, and Types

• MOTION LAWS (concepts introduced):

  • 1. Inertia

  • 2. Acceleration

  • 3. Interaction Elements:

  • 1. Change in position

  • 2. Reference point

  • 3. Time factors

• KEY FACTORS that influence motion (F, m, friction, gravity):

  • 1. Force

  • 2. Mass

  • 3. Friction

  • 4. Gravity

• TYPES OF MOTION:

  • Translational

  • Rotational

  • Vibrational

• Guiding questions: How to tell if motion occurred? What are the rules of motion? What controls motion?

FACTORS AFFECTING MOTION

• Central question: What controls motion? (Brain-storming prompt across slides.)

• Connection to SDGs and framework visuals used to organize content.

FORCES: TYPES AND DEFINITIONS

• APPLIED FORCE: A force that a person or object directly exerts on another object. It can start, stop, or alter motion.

• FORCE TYPES (listed):

  • Applied Force

  • Gravitational Force

  • Normal Force

  • Frictional Force

  • Tension Force (N)

• QUESTIONS posed in slides: What type of force is demonstrated in the video?

APPLIED FORCE (DETAILED)

• Definition: Is a force that a person or object directly exerts on another object, whether it starts moving, stops moving, or changes its movement.

• Subtypes listed under APPLIED FORCE: Tension, Normal, Gravitational, Frictional (as forces related to motion and contact).

NORMAL FORCE

• Definition: A normal force is the push a surface gives to hold or support something up.

GRAVITATIONAL FORCE

• Definition: A natural and invisible force that causes objects to fall down.

FRICTIONAL FORCE

• Definition: A natural and invisible force that resists motion when two surfaces rub against each other. It’s the reason things slow down or stop moving.

TENSION FORCE

• Definition: Pulling force that acts along a rope, string, or cable, created when both ends are being pulled in opposite directions. This opposite pulling keeps the string tight and stable.

MASS AND INERTIA

• MASS:

  • Mass is the amount of matter in an object, usually measured in kilograms (kg).

  • The greater the mass, the harder it is to move or stop the object (requires more force).

  • The smaller the mass, the easier it is to move or stop the object (requires less force).

• INERTIA:

  • (Conceptual linkage) Inertia is the tendency of objects to resist changes in their state of motion. It is closely related to mass.

MOTION: TYPES OF MOTION (DETAILED)

• Translational Motion: The whole object moves from one place to another. Includes linear and curvilinear motion.

• Rotational Motion: The object spins or turns around an axis.

• Vibrational Motion: The object quickly moves back and forth in place.

QUANTITIES OF MOTION: LINEAR (TRANSLATIONAL) VS ROTATIONAL

• Translational (Linear) Quantities:

  • Linear Displacement

  • Linear Velocity

  • Linear Acceleration

  • Mass

  • Force

• Rotational Quantities:

  • Angular Displacement

  • Angular Velocity

  • Angular Acceleration

  • Moment of Inertia

  • Torque

LINEAR QUANTITIES: DEFINITIONS & FORMULAS

• Linear quantities describe motion along a straight line. They tell us how far, how fast, and how motion changes in one direction.

• Key quantities:

  • Displacement: $\Delta x$

  • Velocity: $v$

  • Acceleration: $a$

• Descriptions:

  • Displacement: how far and in what direction the object moved from its starting point.

  • Velocity: how fast the object moves and in what direction.

  • Acceleration: how quickly the velocity changes.

ROTATIONAL QUANTITIES: DEFINITIONS & FORMULAS

• Rotational quantities describe how objects spin or turn about an axis.

• Key quantities:

  • Angular Displacement: $\theta$

  • Angular Velocity: $\omega$

  • Angular Acceleration: $\alpha$

  • Moment of Inertia: $I$

  • Torque: $\tau$

RELATIONSHIPS BETWEEN LINEAR AND ANGULAR MOTION

• Tangential relationships:

  • Linear displacement and angular displacement: $s = r\,\theta$

  • Linear velocity and angular velocity: $v = r\,\omega$

  • Linear (tangential) acceleration and angular acceleration: $a_t = r\,\alpha$

• Torque and rotational dynamics (brief):

  • $\tau = I\,\alpha + \text{(other external torques)}$

  • Also, torque due to a force: $\tau = \mathbf{r} \times \mathbf{F}$

COMPREHENSION CHECK: LINEAR QUANTITIES

• A. DISPLACEMENT

• B. VELOCITY

• C. ACCELERATION

• Examples:
  1) Walking 5 meters east from your desk -> Displacement
  2) A bike speeding up when you pedal harder -> Acceleration
  3) A car moving at 60 km/h north -> Velocity

COMPREHENSION CHECK: ANGULAR QUANTITIES

• A. DISPLACEMENT

• B. VELOCITY

• C. ACCELERATION

• Examples:
  1) A ceiling fan spinning at 60 revolutions per minute -> Angular Velocity (and possibly Angular Displacement over time depending on context)
  2) A spinning wheel turning 90 degrees -> Angular Displacement
  3) A merry-go-round speeding up as more kids push it -> Angular Acceleration

MOTION LAWS: RECAP

• Recap of motion elements and interrelationships:

  • 1) Inertia

  • 2) Acceleration

  • 3) Interaction Elements: change in position, reference point, time

  • 4) Force, Mass, Friction, Gravity

  • 5) Types: Translational, Rotational, Vibrational

• Key questions: How to tell if motion occurred? What are the rules of motion? What controls motion? How does the object move?

KNOWLEDGE CHECK (MULTIPLE CHOICE PRACTICE)

• Page 32: Knowledge Check
  1) Which surface force pushes upward on a resting object?
  a) Gravitational force b) Tension force c) Frictional force d) Normal force
  2) A student pushes a box across the floor and stops it by applying an opposite force. What type of force stops the box?
  a) Applied force b) Gravitational force c) Normal force d) Frictional force

• Page 33: Knowledge Check (Continuing)
  3) The difference between translational and rotational motion is best described as:
  a) Translational is straight-line motion only; rotational involves spinning about an axis.
  b) Translational is movement from one place to another; rotational is spinning around a fixed point or axis.
  4) Which quantity tells you how fast something is spinning and in what direction?
  a) Linear acceleration b) Angular velocity c) Linear displacement d) Angular acceleration

PERFORMANCE TASK: MOTION IN MOTION (Dance CHOREOGRAPHY)

• Task: Create a 1-minute dance that demonstrates motion concepts. 1) Choose any song you like for a 1-minute dance performance. 2) Choreograph movements that include:

  • At least 5 translational movements (moving from one place to another)

  • At least 5 rotational movements (turning, spinning, or rotating parts of the body)

  • At least 2 combination movements that mix translational and rotational motions
    3) Movements should be clear and easy to identify.
    4) Practice to match rhythm and mood of the chosen song.
    5) Perform confidently with creativity and energy.
    6) Props allowed but not required.

EVALUATION RUBRIC (MOTION IN MOTION: DANCE CHOREOGRAPHY)

• Demonstration of (5) Translational Movements -> up to 5 points

• Demonstration of (5) Rotational Movements -> up to 5 points

• Demonstration of (2) Combination Movements -> up to 5 points

• Timing & Synchronization -> up to 5 points

• Creativity & Effort -> up to 5 points

• Overall Presentation -> up to 5 points

• Total: 30 points

ADDITIONAL NOTES & REMINDERS

• The MahuSCIE framework and the slide visuals emphasize engagement through SHARING, CLARIFYING, INQUIRING, and EVALUATING.

• The slides reiterate the SDG alignment and the innovation-focused framing (WURI) alongside content on motion.

• Key equations and quantities are to be treated with standard SI units:

  • Mass in kilograms (kg)

  • Displacement in meters (m)

  • Velocity in meters per second (m/s)

  • Acceleration in meters per second squared (m/s^2)

  • Force in newtons (N)

  • Torque in newton-meters (N·m)

• Practical connections: use human movement and ergonomic design examples to illustrate the relationship between linear and angular motion (e.g., joints, levers, rotating components).

• Video prompts throughout the slides encourage identification of force types and motion forms, reinforcing the definitions above.

• Normal, Gravitational, Frictional, Tension, and Applied forces often appear in applied problems; recall their definitions and units to analyze real-world scenarios.

Frequently Used Formulas (summary)

• Newton’s second law (vector form): $\mathbf{F} = m\mathbf{a}$

• Linear-rotational relations:

  • $s = r\theta$

  • $v = r\omega$

  • $a_t = r\alpha$

• Kinetic friction (example): $F<em>f = \mu</em>k N$

• Gravitational force: $F_g = m g$

• Normal force (general balance on a horizontal surface): $N = m g$ (for horizontal surface without other vertical forces)

• Torque (rotational effect): $\tau = \mathbf{r} \times \mathbf{F} = r F \sin\phi$ and $\tau = I\alpha$

• Moment of inertia (qualitative): $I$ depends on mass distribution relative to the rotational axis

Closing reminder

• Use the knowledge checks and rubric as study aids to prepare for quizzes and the performance task.

• The content blends theoretical concepts with practical demonstrations, reinforcing both conceptual understanding and applied skills.