wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

A particle vibrating simple harmonically has an acceleration of 16cms2 when it is at a distance of 4cm from the mean position. Its time period is

A
1s
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
2.572s
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
3.142s
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
6.028s
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 3.142s
The equation of motion for an SHM is given as
x=Asin(ωt+ϕ)
a=d2xdt2
=Aω2sin(ωt+ϕ)
=ω2x
Hence for the given position,
16=ω2(4)
ω=2
Hence the time period of the motion is T=2πω=2π2=π3.142s

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Simple Harmonic Oscillation
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon