JEE Exam  >  JEE Questions  >  If a pendulum has period T for small oscillat... Start Learning for Free
If a pendulum has period T for small oscillations . An obstacle is placed directly beneath the pivot, so that only the lowest one quarter of the string can follow the pendulum Bob when it Swings in the left of its resting position as shown in the figure . The pendulum is released from rest at a certain point A . The time taken by it to return to that point is?
Most Upvoted Answer
If a pendulum has period T for small oscillations . An obstacle is pla...

Analysis of the Pendulum with an Obstacle

In this scenario, we have a pendulum with an obstacle placed directly beneath the pivot, restricting the motion of the bob to only the lowest one quarter of the string. Let's analyze the situation step by step:

Period of the Pendulum

The period of a pendulum for small oscillations is given by T = 2π√(L/g), where L is the length of the string and g is the acceleration due to gravity.

Initial Conditions

The pendulum is released from rest at point A, which means it has maximum potential energy at this point.

Motion of the Pendulum

As the pendulum swings to the left of its resting position, it will encounter the obstacle at the lowest one quarter of the string. From this point onwards, the pendulum will only be able to swing back and forth in a restricted motion.

Time taken to Return to Point A

Since the pendulum can only swing within the restricted motion due to the obstacle, it will take less time to return to point A compared to its original period T. The time taken can be calculated using the equation T' = 2π√(L'/g), where L' is the effective length of the pendulum after encountering the obstacle.

Therefore, the time taken by the pendulum to return to point A in this scenario will be less than the original period T, due to the restricted motion imposed by the obstacle.
Explore Courses for JEE exam
If a pendulum has period T for small oscillations . An obstacle is placed directly beneath the pivot, so that only the lowest one quarter of the string can follow the pendulum Bob when it Swings in the left of its resting position as shown in the figure . The pendulum is released from rest at a certain point A . The time taken by it to return to that point is?
Question Description
If a pendulum has period T for small oscillations . An obstacle is placed directly beneath the pivot, so that only the lowest one quarter of the string can follow the pendulum Bob when it Swings in the left of its resting position as shown in the figure . The pendulum is released from rest at a certain point A . The time taken by it to return to that point is? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about If a pendulum has period T for small oscillations . An obstacle is placed directly beneath the pivot, so that only the lowest one quarter of the string can follow the pendulum Bob when it Swings in the left of its resting position as shown in the figure . The pendulum is released from rest at a certain point A . The time taken by it to return to that point is? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a pendulum has period T for small oscillations . An obstacle is placed directly beneath the pivot, so that only the lowest one quarter of the string can follow the pendulum Bob when it Swings in the left of its resting position as shown in the figure . The pendulum is released from rest at a certain point A . The time taken by it to return to that point is?.
Solutions for If a pendulum has period T for small oscillations . An obstacle is placed directly beneath the pivot, so that only the lowest one quarter of the string can follow the pendulum Bob when it Swings in the left of its resting position as shown in the figure . The pendulum is released from rest at a certain point A . The time taken by it to return to that point is? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of If a pendulum has period T for small oscillations . An obstacle is placed directly beneath the pivot, so that only the lowest one quarter of the string can follow the pendulum Bob when it Swings in the left of its resting position as shown in the figure . The pendulum is released from rest at a certain point A . The time taken by it to return to that point is? defined & explained in the simplest way possible. Besides giving the explanation of If a pendulum has period T for small oscillations . An obstacle is placed directly beneath the pivot, so that only the lowest one quarter of the string can follow the pendulum Bob when it Swings in the left of its resting position as shown in the figure . The pendulum is released from rest at a certain point A . The time taken by it to return to that point is?, a detailed solution for If a pendulum has period T for small oscillations . An obstacle is placed directly beneath the pivot, so that only the lowest one quarter of the string can follow the pendulum Bob when it Swings in the left of its resting position as shown in the figure . The pendulum is released from rest at a certain point A . The time taken by it to return to that point is? has been provided alongside types of If a pendulum has period T for small oscillations . An obstacle is placed directly beneath the pivot, so that only the lowest one quarter of the string can follow the pendulum Bob when it Swings in the left of its resting position as shown in the figure . The pendulum is released from rest at a certain point A . The time taken by it to return to that point is? theory, EduRev gives you an ample number of questions to practice If a pendulum has period T for small oscillations . An obstacle is placed directly beneath the pivot, so that only the lowest one quarter of the string can follow the pendulum Bob when it Swings in the left of its resting position as shown in the figure . The pendulum is released from rest at a certain point A . The time taken by it to return to that point is? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev