Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Medical
  • A solid disc of mass m is rolling with translation velocity  V m/s  .Find minimum value of V (in m/sec) to reach at height  h = 7.5 m  <img alt="" src="https

A solid disc of mass m is rolling with translation velocity  V m/s  .Find minimum value of V (in m/sec) to reach at height 

h = 7.5 m 

Option: 1 5

Option: 2 7

Option: 3 8

Option: 4 10

Answers (1)

best_answer

 

 

Kinetic energy of a body in combined rotation and translation -

K.E=\frac{1}{2}\, I_{cm}w^{2}+\frac{1}{2}mv_{0}\, ^{2}

- wherein

\frac{1}{2}mv_{0}\, ^{2} =  Translational kinetic energy of centre of mass

 

\frac{1}{2}\, I_{cm}w^{2}  =  Rotational kinetic energy about centre of mass

 

 Form energy conservation 

WR = \Delta KE

mgh = \frac{1}{2} mv^2 + \frac{1}{2} IW^2 \\\\ mgh = \frac{1}{2} mv^2 +\frac{1}{2}[\frac{1}{2}mR^2])(\frac{V^2}{R^2})\\\\mgh = \frac{1}{2} mv^2 +\frac{1}{4}mv^2\\\\ mgh = \frac{3}{4} mv^2 \Rightarrow v = \sqrt{\frac{4}{3}gh} \\\\v= \sqrt{\frac{4}{3}\times 10\times 7.5} \Rightarrow v = 10 m/s

Posted by

Pankaj

View full answer

NEET 2024 Most scoring concepts

    Just Study 32% of the NEET syllabus and Score up to 100% marks

Similar Questions

Trending Articles/News

anam-khan

Centre forms committee to tackle coaching dependency, dummy schools, examine JEE, NEET pressure
anam-khan

BSc Nursing NEET cut-offs for AIQ seats, central universities; counselling process, fee details
anam-khan

NEET cut-off trends for MBBS in Tamil Nadu government, private medical colleges; counselling underway

Latest Question