For a vibrating mass-spring system, the expression of kinetic energy if x=0 is given by:
Correct answer: B. B
- A. A
- B. B
- C. C
- D. D
Explanation
In a mass-spring system, the kinetic energy is given by the formula: KE = ½ mv²In the case of a vibrating mass-spring system, the maximum displacement from equilibrium position (amplitude) is denoted by xo. At the equilibrium position (x = 0), the velocity is maximum, and it can be calculated as: v = ωxoWhere ω is the angular frequency. Now, substituting the values into the formula for kinetic energy, we have:KE = (½)m(ωxo)²= ½ mω²xo²Since k is the spring constant and: k = mω²We can rewrite the equation as: KE = ½ kxo²
Last updated
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.
Practise Waves
1,281 free Waves MCQs from Physics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Exams that ask Physics questions like this
Physics is on 15 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
Related questions
1 rev min-1 is equal to:
85.95° degree in terms of radian is
A 0.3 kg mass oscillates with amplitude 0.08 m. If its maximum kinetic energy is 0.096 J, what is the angular frequency?
A 0.5 kg mass on a spring (k = 50 N/m) is damped with a damping constant b = 2 kg/s. What is the damping ratio?
A 1 kg mass oscillates with SHM of amplitude 0.05 m and frequency 2 Hz. What is the total mechanical energy?