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A2 Unit 4 Applied Mathematics B

Quick questions on Forces on inclines, friction and moments - WJEC A-Level Maths

6short 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 resolving forces on an inclined plane?
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On a slope, the natural directions are along and perpendicular to the plane, so resolve the weight into these.
What is the friction model?
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A body stays at rest while the driving force is at most the maximum friction μR\mu R; once it exceeds μR\mu R, the body accelerates with friction at its maximum.
What are connected particles?
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The same principles as AS apply: write F=maF = ma for each particle, with a common acceleration and (for a light string over a smooth pulley) a common tension. On a slope, include the mgsin⁡θmg\sin\theta component and friction in the equation for the body on the incline.
What is q1?
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A 10 kg10\,\text{kg} block is on a slope at 20∘20^{\circ}. Find the component of its weight down the slope (take g=9.8 m s−2g = 9.8\,\text{m s}^{-2}). [2 marks]
What is q2?
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A force of 8 N8\,\text{N} acts at a perpendicular distance of 0.5 m0.5\,\text{m} from a pivot. Find the moment. [1 mark]
What is q3?
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On a slope, the normal reaction is 50 N50\,\text{N} and μ=0.3\mu = 0.3. Find the maximum friction. [2 marks]

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