1.a Derive the formulae for the geometric constraints using the horizontal and vertical coordinates of the individual particles.
1.a Derive the formulae for the geometric constraints using the horizontal and vertical coordinates of the individual particles.
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Transcribed Image Text:1. Two particles of mass m are connected by a massless rod of length I and placed into circular ditch of radius R.
Friction can be omitted.
Derive the formulae for the geometric constraints
using the horizontal and vertical coordinates of the
individual particles.
1.a
1.b
Find an appropriate generalized coordinate and
derive the Lagrange equations of the second kind.
R
Find the equilibrium state of the systems and draw
the equilibrium configuration.
1.c
1.d Repeat the calculations in parts a, b and c when the
structure accelerates along the positive x direction with
constant acceleration a.
m
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