Body of mass 4 kg attached to a spring is displaced through 0.04 m from its equilibrium position and then released. If the spring constant is 400 N/m, find the time period of the vibration?
Correct answer: D. 0.628 s
- A. 4.567 s
- B. 3.416 s
- C. 2.315 s
- D. 0.628 s
Explanation
The time period of vibration can be calculated using the formula: T = 2π √(m/k) In this case, the mass of the body is 4 kg and the spring constant is 400 N/m. T = 2π √(4 kg / 400 N/m) = 2π √(0.01 s /kg) = 2π 0.1 s 2 T ≈ 0.628 s Therefore, the time period of vibration for the body attached to the spring is approximately 0.628 seconds.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
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.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Physics questions like this
Physics is on 16 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Simple Harmonic Motion questions
Which of the following quantities is always proportional tothe displacement in simple harmonic motion?
Potential energy vs. displacement graph in SHM is:
In a simple pendulum shown at extreme and mean positions: At which position is kinetic energy maximum?
Variation of amplitude with respect to time for an oscillation object is shown in figure. Identify the oscillation:
The frequency of a simple pendulum of length 9.8 m will be
A body executes simple harmonic motion with an amplitude 'a'. Which of the following graphs represents the variation of velocity 'v' with displacement?