Motion in a vertical circle

Motion in a vertical circle Quiz

Spec 4.4 · Edexcel International A Level Further Maths: Quiz

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  1. 1. A particle on a string of length 0.40.4 m is projected from the lowest point. Find the least speed for a complete circle.

    • A. 3.133.13 m s−1^{-1}
    • B. 3.963.96 m s−1^{-1}
    • C. 4.434.43 m s−1^{-1}
    • D. 19.619.6 m s−1^{-1}

  2. 2. A 22 kg particle on a string of length 0.50.5 m has speed 33 m s−1^{-1} at the highest point. Find the tension there.

    • A. 16.416.4 N
    • B. 3636 N
    • C. 55.655.6 N
    • D. 19.619.6 N

  3. 3. A bead on a vertical circular wire of radius 0.250.25 m is to just reach the top. Find the least speed at the lowest point.

    • A. 1.571.57 m s−1^{-1}
    • B. 2.212.21 m s−1^{-1}
    • C. 9.89.8 m s−1^{-1}
    • D. 3.133.13 m s−1^{-1}

  4. 4. A particle slides from rest at the top of a smooth sphere. At which angle θ\theta from the upward vertical does it leave?

    • A. 30∘30^\circ
    • B. 48.2∘48.2^\circ
    • C. 60∘60^\circ
    • D. 70.5∘70.5^\circ

  5. 5. A particle of mass mm on a string of length rr is level with OO with speed vv. Which expression gives the tension?

    • A. mv2r\frac{mv^2}{r}
    • B. mv2r+mg\frac{mv^2}{r}+mg
    • C. mv2r−mg\frac{mv^2}{r}-mg
    • D. mgmg

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