A uniform rod of length 'l' is pivoted at one of its ends on a vertical shaft of negligible radius. When the shaft rotates at angular speed \omega the rod makes an angle \theta with it (see figure).To find \theta equate the rate of change of angular momentum (direction going into the paper) \frac{ml^{2}}{12}\omega ^{2}\sin \theta \cos \theta about the centre of mass (CM) to the torque provided by the horizontal and vertical forces F_{H} and F_{V} about the CM. The value of \theta is then such that :
Option: 1 \cos \theta =\frac{2g}{3l\omega ^{2}}  
Option: 2 \cos \theta =\frac{g}{2l\omega ^{2}}
Option: 3 \cos \theta =\frac{g}{l\omega ^{2}}
Option: 4 \cos \theta =\frac{3g}{2l\omega ^{2}}

Answers (1)

Most Viewed Questions

Preparation Products

Knockout JEE Main 2021 (One Month)

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 14000/- ₹ 4999/-
Buy Now
Knockout JEE Main 2021

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Weekend Live Classes, Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 22999/- ₹ 9999/-
Buy Now
Test Series JEE Main 2021

Chapter/Subject/Full Mock Tests for JEE Main, Personalized Performance Report, Weakness Sheet, Complete Answer Key,.

₹ 6999/- ₹ 2999/-
Buy Now
Knockout JEE Main 2022

Personalized AI Tutor and Adaptive Time Table, Self Study Material, Live Classes(Classes will start from Last week of September), Unlimited Mock Tests and Personalized Analysis Reports, 24x7 Doubt Chat Support,.

₹ 34999/- ₹ 24999/-
Buy Now
JEE Main Rank Booster 2021

Booster and Kadha Video Lectures, Unlimited Full Mock Test, Adaptive Time Table, 24x7 Doubt Chat Support,.

₹ 13999/- ₹ 6999/-
Buy Now
Boost your Preparation for JEE Main 2021 with Personlized Coaching
 
Exams
Articles
Questions