Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • I have a doubt, kindly clarify. - A rod of length 50cm is provided at one end. It is raised such that if makes an angle of from the h - Rotational Motion - JEE Main

A rod of length 50cm is provided at one end. It is raised such that if makes an angle of 30^{\circ} from the horizontal as shown and released from rest. Its angular speed when it passes through the horizontal ( in rad s-1) will be (g = 10ms-2)

  • Option 1)

    \frac{\sqrt{20}}{3}

  • Option 2)

     

    \sqrt{\frac{30}{2}}

  • Option 3)

    \sqrt{30}

  • Option 4)

    \frac{\sqrt{30}}{2}

Answers (1)

best_answer

 

Kinetic energy of rotation -

K=\frac{1}{2}Iw^{2}

- wherein

I = moment of inertia about axis of rotation

w = angular velocity

Work done by gravity from intial to final point 

W=mg\frac{l}{2}\sin 30^{\circ}

      =\frac{mgl}{4}........................................(1)

By work energy theorem

W=\frac{1}{2}I\omega ^{2}

     =\frac{1}{2}{\frac{mL^{3}}{3}}\omega ^{2}..........................(2)

from (1) and (2)

\omega =\sqrt{30}\: rad/sec

 


Option 1)

\frac{\sqrt{20}}{3}

Option 2)

 

\sqrt{\frac{30}{2}}

Option 3)

\sqrt{30}

Option 4)

\frac{\sqrt{30}}{2}

Posted by

admin

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Advanced 2024: Chemical engineering cut-offs at IITs; know opening, closing ranks
anam-khan

IIT JEE Mains Result 2024 Session 2: How is overall merit list prepared?
anam-khan

JEE Mains Session 2 result 2024 soon; List of top NITs in India

Latest Question