2. lwo partticles of equal mass are onnected by a mássless string of leng th e. The string passes through table. The mass M small hole in a horizontal 14 on the table moves with a constant anqular speed u=V% radius of on the circle while the r=a, susperded mass is at rest (equrilibriumb m At too, the suopended mass 7x (4) quilibrian 1 x (4) short distance x(4), while is pulled dawnward the mass on the table continues to rotate. a) Write down the Lagrangian for the syulem of generalized Eoordinates x4) in terms and o(t), b) Find a constant X(4) , B(4), a cmd C) Calculate the motion en terms of g. energy function h. constent d) Is of motion? Explain. 100
2. lwo partticles of equal mass are onnected by a mássless string of leng th e. The string passes through table. The mass M small hole in a horizontal 14 on the table moves with a constant anqular speed u=V% radius of on the circle while the r=a, susperded mass is at rest (equrilibriumb m At too, the suopended mass 7x (4) quilibrian 1 x (4) short distance x(4), while is pulled dawnward the mass on the table continues to rotate. a) Write down the Lagrangian for the syulem of generalized Eoordinates x4) in terms and o(t), b) Find a constant X(4) , B(4), a cmd C) Calculate the motion en terms of g. energy function h. constent d) Is of motion? Explain. 100
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Transcribed Image Text:2. lwo partticles of equal mass are onnected
by a mássless string of leng th e. The string
passes through
table. The mass M
small hole in
a horizontal
14
on the table
moves with a constant anqular
speed u=V%
radius
of
on the circle
while the
r=a,
susperded mass is at rest (equrilibriumb m
At too, the suopended mass
7x (4) quilibrian
1 x (4)
short distance x(4), while
is pulled dawnward
the mass
on the table continues to rotate.
a) Write down the Lagrangian for the syulem
of generalized Eoordinates x4)
in terms
and o(t),
b) Find a constant
X(4) , B(4), a cmd
C) Calculate the
motion en terms of
g.
energy function h.
constent
d) Is
of
motion? Explain.
100
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