Salam Academy
Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

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12 questions

SA-MOM2-0012 marksL1 FoundationNon-calculatorTilting
A uniform rod ABAB of length 44 m and mass 1010 kg rests on supports at CC, 11 m from AA, and at BB. A mass is hung at AA so that the rod is about to tilt about CC. Find the mass.

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Salam Academy Original Practice · Proposed mark scheme
SA-MOM2-0051 markL1 FoundationCalculatorNon-uniform rods
The weight of a non-uniform rod acts
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-MOM-Q011 markL1 FoundationCalculatorTilting
A plank on supports at CC and DD is on the point of tilting about DD. Then
Choose one option

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Salam Academy Original Practice · Proposed mark scheme
SA-MOM-0063 marksL2 StandardCalculatorNon-uniform rods
A uniform rod ABAB of length 22 m and mass 33 kg has a 55 kg mass attached at BB. It balances horizontally on a pivot. Find the distance of the pivot from AA.

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Salam Academy Original Practice · Proposed mark scheme
SA-MOM2-0023 marksL2 StandardCalculatorNon-uniform rods
A non-uniform rod ABAB of length 33 m and mass 66 kg hangs horizontally from vertical strings at AA and BB. The tension at AA is 2020 N. Find the distance of the centre of mass from AA, to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-MOM2-0033 marksL2 StandardNon-calculatorTilting
A uniform plank of length 66 m and mass 3030 kg rests on supports 11 m from each end. Find the largest mass that can be placed at one end without the plank tilting.

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Salam Academy Original Practice · Proposed mark scheme
SA-MOM2-0042 marksL2 StandardNon-calculatorTilting
A uniform rod of length 22 m and mass 44 kg rests on a pivot 0.50.5 m from end AA. Find the mass that must hang at AA to keep it horizontal.

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Salam Academy Original Practice · Proposed mark scheme
SA-MOM2-0073 marksL2 StandardNon-calculatorTilting
A uniform 55 m plank ABAB of mass 2020 kg rests on supports at AA and CC, where AC=3AC=3 m. A 2525 kg child walks from CC towards BB. How far beyond CC can the child go before the plank tilts?

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Salam Academy Original Practice · Proposed mark scheme
SA-MOM-0044 marksL3 ExamCalculatorTilting
A uniform plank ABAB, 66 m long and of mass 2020 kg, rests on supports at CC and DD, where AC=DB=1AC=DB=1 m. A man of mass 7070 kg walks from DD towards BB. Find his distance from AA when the plank is about to tilt, to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-MOM-0054 marksL3 ExamCalculatorNon-uniform rods
A non-uniform rod ABAB of length 55 m and mass 88 kg rests horizontally on supports at AA and BB. The reaction at AA is 3030 N. Find the distance of the centre of mass from AA, to 3 significant figures.

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Salam Academy Original Practice · Proposed mark scheme
SA-MOM2-0064 marksL3 ExamNon-calculatorNon-uniform rods
A non-uniform rod ABAB of length 44 m and mass 55 kg rests horizontally on supports at AA and BB. The reaction at AA is twice the reaction at BB. Find the distance of the centre of mass from AA.

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Salam Academy Original Practice · Proposed mark scheme
SA-MOM-0085 marksL4 ChallengingCalculatorTilting
A uniform beam ABAB of length 66 m and mass 3030 kg rests horizontally on supports at AA and BB. A block of mass 3030 kg is placed on the beam so that the reaction at AA is twice the reaction at BB. Find the distance of the block from AA.

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Salam Academy Original Practice · Proposed mark scheme