Community RSS Feed
https://community.wolfram.com
RSS Feed for Wolfram Community showing any discussions in tag Demonstrations sorted by activeWho understands the malfunction of the attached simulation?
https://community.wolfram.com/groups/-/m/t/1596906
The malfunction is described explicitly in the leading comment of the attached notebook file. I'm stuck and barely need help from the community.Ulrich Mutze2019-01-22T18:48:54ZLagrangian for rolling disk inside a ring
https://community.wolfram.com/groups/-/m/t/1595178
In the discussion for equation for motion for "rolling disk inside a ring" in webpage http://demonstrations.wolfram.com/DiskRollingInsideARotatingRing/
by Mr. Erik Mahieu Lagrangian for the system is not getting displayed. I tried getting it. First, thing I felt that the first equation of motion should r^-2 instead of r^-1.
By reverse engineering and my own knowledge I could get the Lagrangian as (K - V) where
K = (1/2 I_1 φ'^2) +(1/2 I_2 ψ'^2) + (1/2 m_2 (R-r)^2 θ'^2 ) + (m_2 * (R-r) )(Cos θ) θ' (R φ' )
+ (1/2 (m_1 + m_2 ) R^2 φ'^2)
V = m_1 g R + m_2 g (R-r)(1-Cos θ)
But the problem is first equation of motion should have the term
(m_2 (R-r) )(Sin θ) θ' (R φ' )
I am not able to get the clear picture and complete physical interpretation of the last two terms of K.
I will be grateful if I can get the Lagrange of the system be displayed with a bit of explanation.
Regards,
Ravi Shankar GautamRavi Shankar Gautam2019-01-19T16:49:53Z