Resolving Forces & Inclined Planes (Edexcel A-Level Mathematics): Quizzes

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Resolving Forces & Inclined Planes
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What is the component of weight parallel to a slope inclined at angle θ\theta?

mgsin⁡(θ)mg \sin(\theta)

What is the component of weight perpendicular to a slope inclined at angle θ\theta?

mgcos⁡(θ)mg \cos(\theta)

What does it mean when a slope is described as 'smooth'?

No friction is present

In which direction does the normal reaction force act on an inclined plane?

Perpendicular to the slope

What is equilibrium in the context of forces?

Forces cancel each other out

What is the first step when resolving forces on inclined planes?

Draw a free body diagram

What are the two key directions to consider when resolving forces on a slope?

Parallel and perpendicular

In which direction does friction act on an inclined plane?

Parallel to the plane

What is the formula for friction force, where μ\mu is the coefficient of friction?

F=μmgcos⁡(θ)F = \mu mg \cos(\theta)

What does the smooth pulley assumption allow us to conclude?

Tension is same on both sides

What property does a light inextensible string have?

Constant tension throughout

Which law should be applied separately to parallel and perpendicular directions?

F=maF = ma

What method is used to calculate the resultant force from perpendicular components?

Pythagorean theorem

For a particle at rest on a slope at angle θ\theta, what equals mgsin⁡(θ)mg \sin(\theta)?

Force parallel to slope

Why should you align axes with the plane when resolving forces?

Simplifies calculations

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