Centres of mass of plane figures and equilibrium of a lamina

Centres of mass of plane figures and equilibrium of a lamina Quiz

Spec 2.2 · Edexcel A-Level Further Maths: Quiz

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  1. 1. A uniform triangular lamina has a base of 12 cm and a height of 9 cm. How far is its centre of mass from the base?

    • A. 4.54.5 cm
    • B. 66 cm
    • C. 33 cm
    • D. 2.252.25 cm

  2. 2. A uniform semicircular lamina has radius 6 cm. How far is its centre of mass from the diameter?

    • A. 2.552.55 cm
    • B. 3.823.82 cm
    • C. 4.004.00 cm
    • D. 3.003.00 cm

  3. 3. An L-shaped lamina is a 6×26\times2 rectangle (occupying 0≤x≤60\le x\le6, 0≤y≤20\le y\le2) with a 2×22\times2 square on top at the left end (0≤x≤20\le x\le2, 2≤y≤42\le y\le4). What is xˉ\bar x?

    • A. 33 cm
    • B. 22 cm
    • C. 2.42.4 cm
    • D. 2.52.5 cm

  4. 4. A framework is a right-angled triangle of uniform rod with sides 3, 4 and 5 cm. How far is its centre of mass from the 4 cm side?

    • A. 1.51.5 cm
    • B. 1.01.0 cm
    • C. 0.80.8 cm
    • D. 1.21.2 cm

  5. 5. A lamina hangs freely in equilibrium from a point PP. Which statement is correct?

    • A. The centre of mass is vertically above PP
    • B. The centre of mass is level with PP
    • C. The centre of mass is vertically below PP
    • D. The longest edge of the lamina is vertical

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