Question
Download Solution PDFThe velocity of a particle, executing S.H.M, is ________ at its mean position.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept
Simple Harmonic Motion or SHM is a specific type of oscillation in which the restoring force is directly proportional to the displacement of the particle from the mean position.
- Velocity of SHM,
- Where, x = displacement of the particle from the mean position,
- A = maximum displacement of the particle from the mean position.
- ω = Angular frequency
Calculation:
Velocity of SHM,
At its mean position x = 0
Putting the value in equation 1,
⇒
⇒ v = ωA, which is maximum.
So, velocity is maximum at mean position.
At extreme position, x = ± A, v = 0
So, velocity is minimum or zero at extreme position.
Additional Information
- Acceleration, a = ω2x
- Acceleration is maximum at the extreme position, x = ± A
- Acceleration is minimum or zero at the mean position, a = 0
Last updated on Jun 30, 2025
->Indian Airforce Agniveer (02/2026) Notification has been released. Interested candidates can apply between 11th July to 31st July 2025.
->The Examination will be held 25th September 2025 onwards.
-> Earlier, Indian Airforce Agniveer Group X 2025 Last date had been extended.
-> Candidates applied online from 7th to 2nd February 2025.
-> The online examination was conducted from 22nd March 2025 onwards.
-> The selection of the candidates will depend on three stages which are Phase 1 (Online Written Test), Phase 2 ( DV, Physical Fitness Test, Adaptability Test), and Phase 3 (Medical Examination).
-> The candidates who will qualify all the stages of selection process will be selected for the Air Force Group X posts & will receive a salary ranging of Rs. 30,000.
-> This is one of the most sought jobs. Candidates can also check the Airforce Group X Eligibility here.