Column I and column II contains four entries each. Entry of column I are to be uniquely matched with only one entry of column II.
Each of the four wheels in column I has an outer ring having radius R and mass m. Other than the outer ring wheels comprise of same uniform rods (each of mass m and length R) or some lamina (having the same mass m). column II gives radius of gyration about axis passing through centre of ring perpendicular to its plane.
Column I (Wheels) | Column II (Radius of gyration) |
(i) | [A] R |
(ii) | [B] R |
(iii) One disc + ring | [C] |
(iv) Outer ring + half disc + one rod | [D] R |
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
Ans.
(i) [C]
(ii) [D]
(iii) [A]
(iv) [B]
Sol.
(i) 
I = mR 2 + 3 
= 2mR 2 ∴ 2mR
2 = 4mK 2
K = 
(ii) 
I = mR 2 + 4 
= 
∴ 5mK 2 = 
K = R 
(iii) 
I = 
mR 2 = 2 mK 2 K =
R
(iv) 
I = 
+ 
+ mR 2 = 
∴ 
= 3 mK 2 K = R 
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems