A sphere is rolling without slipping on a horizontal plane. The ratio of its rotational kinetic energy and translational kinetic energy is:
Correct answer: B. 1:2
- A. 2:3
- B. 1:2
- C. 2:7
- D. 2:9
Explanation
Correct answer is B. The correct ratio of rotational kinetic energy (Krot) to translational kinetic energy (Ktrans) for a sphere rolling without slipping on a horizontal plane is: Krot : Ktrans = 1 : 2 In other words, the rotational kinetic energy is half of the translational kinetic energy. This is true for any object, not just spheres, that rolls without slipping.
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About Simple Harmonic Motion
Simple harmonic motion is oscillation in which acceleration is directly proportional to displacement and directed toward the equilibrium position. Work includes displacement, velocity, acceleration, phase, period, frequency, amplitude and energy, with applications to springs and simple pendulums. The restoring force and the conditions for SHM distinguish it from general periodic motion.
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