32. A bead of mass moves along a fixed vertical circle of radius 'R'. The bead is attached to highest point of the circle with a light spring of spring constant k'. If o shown in figure is taken as generalised co-ordinate what is lagrangian of the system (Natural length of spring is 2R and gravitation potential energy is taken to be zero at the centre ofcircle). 35 (a) 2mk²6² - 2KR² (1–-cos0) +mgR cos 20 (b) z mk*o* - 2AR (1-cos 0² + mgRcos 20 (c) 2mR-6? - 2KR² (1-cose)* + mgR cos 20 (d) mr*o² - 2AR² (1- coso) + mgRcos20 TA
32. A bead of mass moves along a fixed vertical circle of radius 'R'. The bead is attached to highest point of the circle with a light spring of spring constant k'. If o shown in figure is taken as generalised co-ordinate what is lagrangian of the system (Natural length of spring is 2R and gravitation potential energy is taken to be zero at the centre ofcircle). 35 (a) 2mk²6² - 2KR² (1–-cos0) +mgR cos 20 (b) z mk*o* - 2AR (1-cos 0² + mgRcos 20 (c) 2mR-6? - 2KR² (1-cose)* + mgR cos 20 (d) mr*o² - 2AR² (1- coso) + mgRcos20 TA
Related questions
Question
i need the answer quickly
![A bead of mass moves along a fixed vertical circle of radius 'R'. The bead is attached to
highest point of the circle with a light spring of spring constant 'k. If 9 shown in figure is
taken as generalised co-ordinate what is lagrangian of the system [Natural length of
spring is 2R and gravitation potential energy is taken to be zero at the centre o fcircle].
32.
35
m
(a) 2mR-6? - 2kR² (1-cos0) + mgR cos 20
mR-ö² - 2KR² (1-coso)² + mgRcos 20
(e) 2mR-6² - 2kR? (1-cose) + mgR cos 20
(d) mR-o? - 2kR (1-cos 0) + mgRcos20
In previous question, equation of motion of bead for smal value of 9 is:
33.
(a) ö+ 20=0
(b) 6+
R
280
(c) ö+0 =0
(d) ö+
R
4g0 =0
2R
TA](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb97cac47-1060-4c39-90c0-6b230e9b3a97%2F8a7aef4d-9da4-437d-9e64-5bc8156f1bb7%2Fato3o1k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A bead of mass moves along a fixed vertical circle of radius 'R'. The bead is attached to
highest point of the circle with a light spring of spring constant 'k. If 9 shown in figure is
taken as generalised co-ordinate what is lagrangian of the system [Natural length of
spring is 2R and gravitation potential energy is taken to be zero at the centre o fcircle].
32.
35
m
(a) 2mR-6? - 2kR² (1-cos0) + mgR cos 20
mR-ö² - 2KR² (1-coso)² + mgRcos 20
(e) 2mR-6² - 2kR? (1-cose) + mgR cos 20
(d) mR-o? - 2kR (1-cos 0) + mgRcos20
In previous question, equation of motion of bead for smal value of 9 is:
33.
(a) ö+ 20=0
(b) 6+
R
280
(c) ö+0 =0
(d) ö+
R
4g0 =0
2R
TA
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
