Force Faceoff Worksheet

Dynamics & Polygon Analysis

Name:

Date:

Section 1: The Dynamic Translation

Map the linear dynamic concept to its rotational twin.

Linear Concepts

1. Mass (\(m\))

2. Net Force (\(\sum F\))

3. Push direction (+)

Angular Twins

A. Counter-Clockwise (+)

B. Moment of Inertia (\(I\))

C. Net Torque (\(\sum \tau\))

Section 2: The Zero Rules

Identify which forces below produce Zero Torque on the rod and explain why.

A B C

Force A: _________ Torque

Reason: ___________________________

Force B: _________ Torque

Reason: ___________________________

Force C: _________ Torque

Reason: ___________________________

Section 3: Inertia Thinking

A tightrope walker holds a very long pole. Explain, using the concept of mass distribution and Moment of Inertia, why this helps them stay balanced.

Section 4: The Square Dynamic

A square beam of side length \( L = 0.40 \text{ m} \) is pinned at its center. Four forces act on it as shown below.

F₁=40N

F₂=60N

F₃ (Direct)

F₄=20N

A. Which force produces ZERO torque? Why?

B. Calculate Net Torque (\(\sum \tau\)):

C. Resulting Motion:

If the square has \( I = 5.0 \text{ kg·m}^2 \), calculate the magnitude and direction of the angular acceleration (\(\alpha\)).

Section 5: The Hexagon Challenge

Problem 1: The Vertex Grip

A hexagonal nut is being tightened. The distance from the center to a vertex is \( 0.025 \text{ m} \). You apply a force of \( 120 \text{ N} \) at an angle of \( 30^\circ \) to the line connecting the vertex and center.

Calculate the torque produced. Then, determine if pushing perpendicularly on the flat side (\(r = 0.020 \text{ m}\)) would be better.

VERTEX PUSH

Problem 2: Triple Balance

A see-saw beam is in static equilibrium.
- Load 1 (20N) is at \( 3.0 \text{ m} \) left.
- Load 2 (50N) is at \( 1.0 \text{ m} \) left.
- Counterweight (40N) is on the right.

Where must the 40N Counterweight be placed to balance the system?

r = ?

Synthesis Question

A wrench is basically a tool that artificially increases your "Radius." Using the Second Law \( \sum \tau = I\alpha \), explain why a longer wrench makes it easier to loosen a bolt that is stuck (high resistance).

Force Faceoff Worksheet v4

Force Faceoff Worksheet v4

Similar Materials

Partial Pressure Station One Card

Olutoyin Makinde

Station Parade Handout

Olutoyin Makinde

Partial Pressure Monitoring Checklist

Olutoyin Makinde

Pressure Parade Chunked Reading Passage

Olutoyin Makinde

Partial Pressure Station Cards

Olutoyin Makinde

Partial Pressure Parade Slides

Olutoyin Makinde

Partial Pressure Parade Slides

Olutoyin Makinde

Partial Pressure Monitoring Checklist

Olutoyin Makinde

Pressure Parade Chunked Reading Passage

Olutoyin Makinde

Ideal Identity Monitoring Checklist

Olutoyin Makinde

Truffula Tragedy Answer Key

Taryn Sigl

Truffula Tragedy Worksheet

Taryn Sigl

Teacher PD and Cheat Sheets Document

Vic Chamness

Future Architects Activity Sheet

Vic Chamness

Future Architects Presentation Slides

Vic Chamness

AI Inside Out Activity Sheet

Vic Chamness

AI Inside Out Presentation Slides

Vic Chamness

Pattern Detectives Activity Sheet

Vic Chamness

Pattern Detectives Presentation Slides

Vic Chamness

Smart Helpers Activity Worksheet

Vic Chamness

Smart Helpers Presentation Slides

Vic Chamness