Centre of mass of particles and composite bodies

Centre of mass of particles and composite bodies Quiz

Spec ME1–ME2 · AQA A-Level Further Maths: Quiz

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  1. 1. A 11 kg particle is at x=0x=0 and a 33 kg particle is at x=4x=4. Find xˉ\bar{x}.

    • A. 22 m
    • B. 11 m
    • C. 33 m
    • D. 44 m

  2. 2. A 22 kg particle is at (1,2)(1,2) and a 33 kg particle is at (6,−1)(6,-1). Find the centre of mass.

    • A. (4, 0.2)(4,\,0.2)
    • B. (3.5, 0.5)(3.5,\,0.5)
    • C. (20, 1)(20,\,1)
    • D. (4, 1)(4,\,1)

  3. 3. A triangular lamina has height 99 cm. How far is its centre of mass from the base?

    • A. 4.54.5 cm
    • B. 66 cm
    • C. 99 cm
    • D. 33 cm

  4. 4. Rectangle AA has area 1212 cm² with centre at x=2x=2 cm, and rectangle BB has area 44 cm² with centre at x=7x=7 cm. Find xˉ\bar{x} for the joined lamina.

    • A. 4.54.5 cm
    • B. 3.253.25 cm
    • C. 2.52.5 cm
    • D. 5.255.25 cm

  5. 5. A square lamina of side 44 cm (centre x=2x=2) has a square hole of side 22 cm with centre at x=3x=3. Find xˉ\bar{x} of the remaining lamina.

    • A. 2.22.2 cm
    • B. 1.51.5 cm
    • C. 1.671.67 cm
    • D. 3.673.67 cm

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