In a simple harmonic motion,
Maximum acceleration, fmax=ω2A
Maximum velocity, vmax=Aω.
vmaxfmax=Aωω2A=ω
ω=10
Displacement in SHM is x=Asin(ωt+4π)
At t=0
5=Asin(4π)
A=52.
Max acceleration = ω2A
=100×52
=5002ms−2
JEE Main 2017 — Physics Waves & Oscillations
The ratio of maximum acceleration to maximum velocity in a simple harmonic motion is 10s−1. At, t=0 the displacement is 5m. What is the maximum acceleration? The initial phase is 4π .
Held on 8 Apr 2017 · Verified 6 Jul 2026.
500ms−2
7502ms−2
750ms−2
5002ms−2
Sign in to track your attempts and accuracy.
Sign in to keep a private note on this question. Nothing you write is ever public.
The time period of a simple harmonic oscillator is $T=2 \pi \sqrt{\frac{k}{m}}$. Measured value of mass $(m)$ of the object is 10 g with an accuracy of 10 mg and time for 50 oscillations of the spring is found to be 60 s using a watch of 2 s resolution. Percentage error in determination of spring constant $(k)$ is $\_\_\_\_$ \%.
Two waves of same frequency and amplitude travel in opposite directions. The resulting pattern is:
A spring-mass system oscillates with angular frequency ω. If the mass is doubled and the spring constant is halved, the new angular frequency is:
In an open organ pipe $\nu_{3}$ and $\nu_{6}$ are $3^{\text {rd }}$ and $6^{\text {th }}$ harmonic frequencies, respectively. If $\nu_{6}-\nu_{3}=2200 \mathrm{~Hz}$ then length of the pipe is $\_\_\_\_$ mm . (Take velocity of sound in air is $330 \mathrm{~m} / \mathrm{s}$.)
A simple pendulum of string length 30 cm performs 20 oscillations in 10 s. The length of the string required for the pendulum to perform 40 oscillations in the same time duration is $\_\_\_\_$ cm. [Assume that the mass of the pendulum remains same.]
Work through every JEE Main Waves & Oscillations PYQ, year by year.