A simple pendulum of length 1 m and amplitude 2° oscillates in a vertical plane. At t = 0, the bob is at its right extreme. At which of the following time(s), the string makes an angle of 1° with vertical? (Take g = π2)

Engineering

Physics

Straight Line Motion

SHM of Simple Pendulum

Basics of Simple Harmonic Motion

Question

A simple pendulum of length 1 m and amplitude 2° oscillates in a vertical plane. At t = 0, the bob is at its right extreme. At which of the following time(s), the string makes an angle of 1° with vertical?

(Take g = π²)

$\frac{2}{3} sec .$

$\frac{1}{3} \sec$

1 sec

$\frac{4}{3} \sec .$

LiveFree JEE Main Previous Year Online Papers Live Free JEE Advance Previous Year Online Papers

College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

$\sqrt{\frac{π^{2}}{1}} \times t = ωt = (n \pm \frac{1}{3}) π \frac{π}{3} = ωt$

$t = (n \pm \frac{1}{3}) \sec . π - \frac{π}{3} = ωt$

$t = (n \pm \frac{1}{3}) \sec . π + \frac{π}{3} = ωt$