Question
A mass m is suspended from a spring of spring constant
k and oscillates with amplitude A. The maximum velocity during oscillation is:Solution
Rationale: The motion of a mass-spring system undergoing simple harmonic motion (SHM) is described by the equation x(t) = Acos ( ωt + φ),  where x(t) is the displacement from the equilibrium position, A is the amplitude, ω is the angular frequency, and ϕ is the phase constant. The velocity of the mass is the first derivative of the displacement with respect to time: 
The maximum value of the velocity occurs when ∣ sin(ωt + ϕ) ∣ is maximum, which is 1. Therefore, the magnitude of the maximum velocity (vmax​) is: 
Therefore, the correct answer is option (d).
The Siri Fort in New Delhi was constructed during the reign of which medieval Indian ruler?
Consider the following statements:
1. Under Nepal-India Treaty of Trade (2009) duty-free access into the Indian market for all Nepali-manufacture...
The ‘Har Ghar Jal Yojana’ was launched by the Prime Minister to provide water over _____ villages in Uttar Pradesh?
Which crops are benefitted from the temperate cyclones arising from the Mediterranean Sea that cause rainfall in Punjab?
Which among the planets is orange in colour with white bands on it?
During the British rule in India, which of the following Governor Generals devised the ‘Doctrine of Lapse’, a policy of annexation?
In the Indian Constitution, the idea of concurrent list has been borrowed from Â
Who is the head of the committee to recommend the analysis on QR codes for Payment System Operators (PSO)?Â
What is the investment limit for F&O (Futures and Options) according to SEBI?
Consider the following statement about Protection of Women from Sexual Harassment (POSH) Act, 2013.
I. Every employer is required to constitute...
Relevant for Exams:
