Nano PHYSICS . MECHANICS . DYNAMICS . CONNECTED BODIES AND PULLEYS

Atwood Machine

Two masses connected over a pulley: derive acceleration and tension using FBDs plus Newton's Second Law for each mass.

Physics · Mechanics · Dynamics · Connected Bodies and Pulleys · Atwood Machine
Access for this nano-lesson
Unsigned visitors can show & copy prompts for Steps 1-3. Signed-in free accounts can also Run with AI for Steps 1-2. Paid accounts unlock everything (Steps 1-6 + Help prompts + AI).
Steps 1-3 Free Steps 4-6 Paid
STEP 1
Orient: atwood machine
Free
Establish the assumptions, forces, and constraints that define the model.
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Goal: identify ideal assumptions, real forces, and motion constraints.
STEP 2
Conceptual grounding: build the connected-body model
Free
Build a diagram-first method using tensions, accelerations, and constraints.
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Goal: write consistent FBDs and equations for connected objects.
STEP 3
Real-world connection: interpret constraints and forces
Free
Apply the model to strings, pulleys, hanging masses, carts, and connected systems.
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Goal: explain what changes when assumptions, masses, or constraints change.
STEP 4
Check your understanding: diagnostic mini-quiz
Paid
Attempt each question before revealing the connected-body reasoning.
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Goal: identify and correct FBD, tension, constraint, and sign errors before they become algebra errors.
STEP 5
Practice: solve increasingly rich connected-body systems
Paid
Apply the model to connected systems that grow in complexity.
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Goal: produce clear, physically justified connected-body solutions.