Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Consider a badminton racket with length scales as shown in the figure. If the mass of the linear and circular portions of t

Consider a badminton racket with length scales as shown in the figure.

If the mass of the linear and circular portions of the badminton racket are same (M) and the mass of the threads are negligible, the moment of inertia of the racket about an axis perpendicular to the handle and in the plane of the ring at, \frac{r}{2} distance from the end A of the handle will be ____ Mr2  .
 

Answers (1)

best_answer

I_{1}= I_{rod}= \frac{ML^{2}}{12}= \frac{M\left ( 6r \right )^{2}}{12}= 3Mr^{2}
I_{2}= I_{Diameter\, of\; ring}= \frac{Mr^{2}}{2}
I_{about\, diffed\; axis}=\left [ I_{rod\: end} +M\left ( \frac{r}{2} \right )^{2}\right ]+\left [ I_{Diameter\, of\: axis}+M\left ( \frac{13r}{2} \right )^{2} \right ]
                             = \left [ 13Mr^{2}+M\left ( \frac{5r}{2} \right )^{2} \right ]+\left [ \frac{Mr^{2}}{2}+\frac{169Mr^{2}}{4} \right ]
                             = \frac{37Mr^{2}}{4}+\frac{171M r^{2}}{4}
                            = \frac{208Mr^{2}}{4}= 52Mr^{2}  

Posted by

vishal kumar

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

'Why are they dying only in Kota': SC grills Rajasthan over surge in student suicides
anam-khan

JEE Main 2025 paper 2 final answer key out; NTA drops 4 questions, 2 from BPlanning
anam-khan

JEE Main 2025 session 2 answer key out for BArch, BPlanning; response sheet on jeemain.nta.nic.in

Latest Question