Examsnet
Unconfined exams practice
Home
Exams
Banking Entrance Exams
CUET Exam Papers
Defence Exams
Engineering Exams
Finance Entrance Exams
GATE Exam Practice
Insurance Exams
International Exams
JEE Exams
LAW Entrance Exams
MBA Entrance Exams
MCA Entrance Exams
Medical Entrance Exams
Other Entrance Exams
Police Exams
Public Service Commission (PSC)
RRB Entrance Exams
SSC Exams
State Govt Exams
Subjectwise Practice
Teacher Exams
SET Exams(State Eligibility Test)
UPSC Entrance Exams
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
Certifications
Technical
Cloud Tech Certifications
Security Tech Certifications
Management
IT Infrastructure
More
About
Careers
Contact Us
Our Apps
Privacy
Test Index
JEE Advanced Model Paper 15 with solutions for online practice
Show Para
Hide Para
Share question:
© examsnet.com
Question : 1
Total: 60
Two identical rods each of length 2 m and having same mass are connected from end to end by means of a spring of spring constant (3 +
2
√
2
) N / m. The other two ends of the rods are riveted to ground at O and are on a smooth horizontal surface. These two rods are free to rotate about the rivet on the horizontal surface. When the spring is in natural length the angle between the two rods is 60°. From this position each rod is pulled away from each other by an angle of 15° and released. Then the force on the rivet when they come back to their initial position in Newton is
3
√
3
2
3
√
3
4
3
2
√
3
3
4
√
3
Validate
Solution:
1
2
k
(
√
2
l
−
I
)
2
=
1
2
2
(
m
I
2
3
)
ω
2
k
(
√
2
I
−
I
)
2
=
2
m
3
ω
2
..... (1)
F on each rod by hinge = m
1
2
ω
2
∴ F on hinge =
√
3
(
m
I
2
ω
2
)
→ 2
on solving f on hinge =
3
√
3
2
N
© 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
Next Question