Horizontal circular motion

Horizontal circular motion Quiz

Spec 4.3 · Edexcel International A Level Further Maths: Quiz

Studying this course? Keep your progress in one place.

Pick an answer for each. Quizzes never use energy.

5 questions, one answer each

Each answer is checked as you go, with why.

See all 5 questions

  1. 1. A particle of mass 22 kg moves in a horizontal circle of radius 0.50.5 m with angular speed 33 rad s−1^{-1}. Find the resultant force towards the centre.

    • A. 33 N
    • B. 99 N
    • C. 1818 N
    • D. 2727 N

  2. 2. A conical pendulum has tension T=2mgT=2mg. Find the angle of the string to the vertical.

    • A. 30∘30^\circ
    • B. 45∘45^\circ
    • C. 60∘60^\circ
    • D. 75∘75^\circ

  3. 3. A smooth road is banked at tan⁡α=0.2\tan\alpha=0.2 with radius 4949 m. Find the design speed.

    • A. 9.89.8 m s−1^{-1}
    • B. 4.94.9 m s−1^{-1}
    • C. 9696 m s−1^{-1}
    • D. 19.619.6 m s−1^{-1}

  4. 4. A coin sits 0.20.2 m from the centre of a turntable, with μ=0.5\mu=0.5. Find the greatest angular speed without slipping.

    • A. 24.524.5 rad s−1^{-1}
    • B. 2.452.45 rad s−1^{-1}
    • C. 9.89.8 rad s−1^{-1}
    • D. 4.954.95 rad s−1^{-1}

  5. 5. Two conical pendulums have the same string length and angle to the vertical, but one particle has twice the mass. Compare their periods.

    • A. The heavier one is twice as long
    • B. The heavier one is half as long
    • C. They are the same
    • D. The heavier one is 2\sqrt2 times as long

Quiz