A simple pendulum is suspended from the ceiling of a car accelerating uniformly on a horizontal road. If the acceleration is a0 and the length of the pendulum is l, find the time period of small oscillations about the mean position
A
π√l(a20+g2)1/2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
2π√l(a20+2g2)1/2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
2π√l(a20+g2)1/4
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
π√l(a20+g2)1/4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is C2π√l(a20+g2)1/4 Time period of simple pendulum T=2π√lgeff
In the car frame, the pendulum experiences a pseudo force in the backward direction.
Thus effective acceleration due to gravity geff=√a2o+g2