Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
A simple pendulum of length l is suspended from the ceiling of a cart which is sliding without friction on an inclined plane of inclination θ. What will be the time period of the pendulum?
PhysicsOscillationsNEET
Options:
  • A 2 π l g cos θ
  • B - 2 π 3 l g cos θ
  • C 4 π 2 l g cos θ
  • D - 3 π 4 l 2g cos θ
Solution:
1034 Upvotes Verified Answer
The correct answer is: 2 π l g cos θ
Here, the point of suspension has an acceleration. a =gsin θ (down the plane). Further, g can be resolved into two components g sin  θ (along the plane) and g cos  θ (perpendicular to the plane).


geff=g-a

=gcosθ (perpendicular to plane)

T=2πl|geff|

    =2πlgcosθ
 

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.