Exams Net
Unrestricted Exams Practice
Home
Exams
Banking
CUET
Defence
Engineering
Finance
GATE
Insurance
International
JEE
LAW
MBA
MCA
Medical
Other
Police
PSC
RRB
SSC
State Govt
Subjectwise
Teacher
SET Exams
UPSC
Aptitude
Algebra and Higher Mathematics
Arithmetic
Commercial Mathematics
Data Based Mathematics
Geometry and Mensuration
Number System and Numeracy
Problem Solving
Board Exams
Andhra
Bihar
CBSE
Gujarat
Haryana
ICSE
Jammu and Kashmir
Karnataka
Kerala
Madhya Pradesh
Maharashtra
Odisha
Tamil Nadu
Telangana
Uttar Pradesh
English
Competitive English
CBSE
CBSE Class 10 Solutions
CBSE Class 12 Solutions
CBSE Question Papers (Pdf)
NCERT Books (Pdf)
NCERT Exemplar Books (Pdf)
NCERT Study Notes (Pdf)
CBSE Study Concepts (Pdf)
NCERT Text Book Class 11 Solutions
NCERT Text Book Class 12 Solutions
ICSE Class 10 Papers
Certifications
Technical
Cloud Tech Certifications
Security Tech Certifications
Management
IT Infrastructure
More
About
Contact Us
Our Apps
Privacy
+
-
Test Index
JEE Advanced 2013 Paper 1
Show Para
Hide Para
Section:
Physics
Share question:
© examsnet.com
Question : 16 of 60
Marks:
+1
,
-0
A uniform circular disc of mass 50kg and radius 0.4 m is rotating with an angular velocity of 10 rad/
s
−
1
s^{-1}
s
−
1
about its own axis, which is vertical. Two uniform circular rings, each of mass 6.25 kg and radius 0.2 m, are gently placed symmetrically on the disc in such a manner that they are touching each other along the axis of the disc and are horizontal. Assume that the friction is large enough such that the rings are at rest relative to the disc and the system rotates about the original axis. The new angular velocity (in rad
s
−
1
s^{-1}
s
−
1
) of the system is:
[JEE Adv 2013 P1]
7
9
8
1
Validate
Solution:
I
1
ω
1
=
I
2
ω
2
I_{1} \omega_{1} = I_{2} \omega_{2}
I
1
ω
1
=
I
2
ω
2
ω
2
=
I
1
I
2
ω
1
=
4
5
×
10
rad/s
=
8
rad/s
\omega_{2} = \frac{I_{1}}{I_{2}} \; \omega_{1} = \frac{4}{5} \times 10 \; \text{rad/s} = 8 \; \text{rad/s}
ω
2
=
I
2
I
1
ω
1
=
5
4
×
10
rad/s
=
8
rad/s
© examsnet.com
Go to Question:
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
Prev Question
Next Question
More Free Exams
AIEEE Previous Papers
BITSAT Exam Previous Papers
JEE Adv
JEE Advanced Model Papers
JEE Main
JEE Main PYQ
JEE Mains Model Papers
VITEEE Previous Papers