Download the app

Questions  

A particle executing SHM of amplitude 'a' has a displacement a/2 at t = T/4 and a negative velocity. The epoch of the particle is

a
π3
b
2π3
c
π
d
5π3

detailed solution

Correct option is A

Equation of SHM =ysin⁡(ωt+ϕ) When y=a2,t=T4=2π4ω=π2ωv=aωcos⁡(ωt+ϕ) velocity is negativeπ2<(ωt+ϕ)<3π2a2=asin⁡(ωt+ϕ) ⇒sin⁡(ωt+ϕ)=12π2+ϕ=5π6 Substituting in the above equation, we get ϕ=π/3

Talk to our academic expert!

+91

Are you a Sri Chaitanya student?


Similar Questions

A horizontal platform with an object placed on it is executing S.H.M. in the vertical direction. The amplitude of oscillation is 3.92×103m . What must be the least period of these oscillations, so that the object is not detached from the platform 


phone icon
whats app icon