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Mechanics

Quick questions on Forces and Newton's laws: F equals ma, friction, inclines and connected particles - OCR A-Level Maths A

7short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is equilibrium of a particle?
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A particle is in equilibrium when the resultant force is zero, so the components balance in every direction. Resolving in two perpendicular directions and setting each sum to zero gives the equations.
What is friction?
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Friction opposes motion (or attempted motion) along a surface, up to a maximum.
What is newton's second law with friction?
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The standard method is: resolve perpendicular to the motion to find RR, compute friction μR\mu R, then apply F=maF = ma along the motion.
What are connected particles?
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For two masses connected by a light inextensible string over a smooth pulley, the tension is the same throughout and both share one acceleration. Write Newton's second law for each mass and add the equations to eliminate the tension.
What are wrong slope components?
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Down the slope is mgsinθmg\sin\theta and into the slope is mgcosθmg\cos\theta; swapping sine and cosine is a frequent error.
What is q1?
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A 22 kg mass sits on a rough surface with μ=0.3\mu = 0.3. Find the maximum friction force (g=9.8g = 9.8). [2 marks]
What is q2?
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A 55 kg block on a smooth slope inclined at 2020^\circ is released. Find its acceleration (g=9.8g = 9.8). [2 marks]

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