Ideal pulley in AP Physics C: Mechanics

An ideal pulley is a pulley with negligible mass that rotates about a frictionless axle, so it redirects the string without changing its tension. In AP Physics C: Mechanics, this assumption means tension is the same on both sides of the pulley, simplifying Newton's-law analysis of connected systems.

Verified for the 2027 AP Physics C: Mechanics examLast updated June 2026

What is ideal pulley?

An ideal pulley is a pulley you can completely ignore as an object. It has negligible mass and spins on a frictionless axle, so it stores no rotational kinetic energy and needs no net torque to change its spin. The only thing it does is change the direction of the string.

Here's the payoff. Because the pulley needs zero net torque, the tension pulling on one side must equal the tension pulling on the other side. Combine that with an ideal (massless, inextensible) string, and tension is a single value everywhere in the string. That one assumption is what lets you treat an Atwood machine as two simple free-body diagrams linked by one tension T and one acceleration a, instead of a messy rotational problem.

Why ideal pulley matters in AP® Physics C: Mechanics

Ideal pulleys live in Topic 2.3 (Newton's Third Law) in Unit 2, where connected-object systems are the bread and butter. When two blocks hang from a string over a pulley, the string's tension acts as an internal force in the system, and Newton's third law guarantees the string pulls on each block with equal-magnitude force. The ideal pulley assumption is what keeps that tension uniform after the string bends over the wheel. Almost every Atwood machine, modified Atwood (block on a table connected to a hanging mass), and incline-plus-hanging-mass problem on the exam starts with the phrase 'ideal pulley' or 'massless, frictionless pulley.' Recognizing it tells you instantly which simplifications you're allowed to make.

How ideal pulley connects across the course

Tension (Unit 2)

An ideal pulley is really a statement about tension. Massless pulley plus frictionless axle equals one tension value throughout the entire string, no matter how many times the string changes direction.

Equal and Opposite Forces (Unit 2)

Newton's third law explains why the string pulls equally on both connected objects. The string pulls block A, block A pulls the string back, and the ideal pulley just reroutes that force pair without weakening it.

Internal Forces (Unit 2)

If you treat both blocks plus the string as one system, the tension becomes an internal force and cancels out. That's the trick behind the shortcut a = F_net,external / m_total for Atwood-style systems.

Pulleys with Mass and Rotational Dynamics (Unit 5)

Unit 5 breaks the ideal pulley on purpose. Give the pulley real mass (rotational inertia) and the two tensions must differ, because a net torque is needed to angularly accelerate the wheel. Knowing what 'ideal' removes tells you exactly what Unit 5 adds back.

Is ideal pulley on the AP® Physics C: Mechanics exam?

Multiple-choice questions test whether you know the consequence of the assumption, not the definition itself. Practice stems ask things like 'In a system with an ideal pulley, what is the primary characteristic of the tension in the string?' or 'What is the effect of an ideal pulley's negligible mass on the tension?' The answer is always some version of: tension is uniform on both sides. On FRQs, 'ideal pulley' shows up in the problem setup for Atwood machines and connected-block systems. Your job is to draw separate free-body diagrams for each mass, label the same T on both, apply Newton's second law to each object, and solve the system for a and T. If a later part gives the pulley mass or rotational inertia, that's your cue that the two tensions are no longer equal and you need a torque equation.

Ideal pulley vs Pulley with mass (real pulley)

An ideal pulley needs zero net torque to spin, so T₁ = T₂ on either side. A pulley with mass has rotational inertia, so changing its spin requires a net torque, which can only come from unequal tensions (T₁ ≠ T₂). The fastest exam check is to read the problem statement. 'Ideal' or 'massless' means one tension; a given pulley mass or moment of inertia means two tensions and a torque equation from Unit 5.

Key things to remember about ideal pulley

  • An ideal pulley has negligible mass and a frictionless axle, so it changes the direction of a string without changing its tension.

  • With an ideal pulley and an ideal string, the tension has the same magnitude everywhere in the string, including on both sides of the pulley.

  • In Atwood-machine problems, the ideal pulley assumption lets you write Newton's second law for each block with a single shared tension T and a single shared acceleration a.

  • Treating both blocks and the string as one system makes tension an internal force that cancels, giving the shortcut a = (net external force) / (total mass).

  • If a problem gives the pulley mass or rotational inertia, the pulley is no longer ideal, the tensions on each side differ, and you need a torque equation to solve it.

Frequently asked questions about ideal pulley

What is an ideal pulley in AP Physics C?

It's a pulley with negligible mass that spins on a frictionless axle. Its only job is to redirect a string, and because it requires no net torque, the tension is the same on both sides.

Is the tension the same on both sides of an ideal pulley?

Yes. Since the pulley is massless, any difference in tension would create a net torque and infinite angular acceleration, which is impossible. So T₁ = T₂ always holds for an ideal pulley with an ideal string.

Does an ideal pulley reduce the force needed to lift something?

Not by itself. A single ideal pulley only changes the direction of the applied force, so you still pull with the full weight. Mechanical advantage comes from pulley systems with multiple string segments supporting the load, not from the pulley being ideal.

How is an ideal pulley different from a pulley with mass?

An ideal pulley keeps tension equal on both sides because it needs zero torque to spin. A pulley with mass has rotational inertia, so the tensions must differ to provide the net torque that angularly accelerates it. Massive pulleys are a Unit 5 rotational dynamics problem.

Why does the tension cancel out in an Atwood machine?

If you treat both hanging blocks plus the string as a single system, the tension becomes an internal force. By Newton's third law, internal forces come in equal-and-opposite pairs that cancel, leaving only the external weights to determine the system's acceleration.