Equilibrium, sliding and toppling

Equilibrium, sliding and toppling Quiz

Spec ME5–ME6 · AQA A-Level Further Maths: Quiz

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  1. 1. A uniform rod of weight WW and length 22 m is supported at one end by a hinge and at the other end by a vertical string. What is the tension in the string?

    • A. WW
    • B. W2\frac{W}{2}
    • C. 2W2W
    • D. W4\frac{W}{4}

  2. 2. A couple of two forces of 1010 N a distance of 0.30.3 m apart has moment:

    • A. 33 N m
    • B. 1010 N m
    • C. 00 N m
    • D. 66 N m

  3. 3. A block rests on a rough slope with μ=0.4\mu=0.4. The block is on the point of sliding when:

    • A. sin⁡θ=0.4\sin\theta=0.4
    • B. cos⁡θ=0.4\cos\theta=0.4
    • C. tan⁡θ=2.5\tan\theta=2.5
    • D. tan⁡θ=0.4\tan\theta=0.4

  4. 4. A cuboid has width 0.20.2 m and height 0.50.5 m. On a slope it is on the point of toppling when tan⁡θ\tan\theta equals:

    • A. 0.20.2
    • B. 0.10.1
    • C. 0.40.4
    • D. 2.52.5

  5. 5. A uniform lamina hangs freely from a corner. In equilibrium:

    • A. its longest edge is vertical
    • B. its centre of mass is vertically below the corner
    • C. its centre of mass is horizontal to the corner
    • D. the corner is at its lowest point

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