2.12 The system depicted in Fig. 2.8 is such that mass m2 moves on the frictionless horizontal table and mass m¡ can only move vertically. Use the Lagrange multiplier method to show that the tension on the inextensible string that links the bodies is given by mịm2 g+ T = mị + m2 where pe is the constant value of m2²é. In the special case that pe = 0, determine the fall acceleration of mass m1. m2 mi Problem 2.12.

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2.12 The system depicted in Fig. 2.8 is such that mass m2 moves on the frictionless
horizontal table and mass m¡ can only move vertically. Use the Lagrange multiplier
method to show that the tension on the inextensible string that links the bodies is
given by
mịm2
T
g +
mị + m2
where pe is the constant value of m2r²è. In the special case that pe = 0, determine
the fall acceleration of mass m1.
m2
U mı
Problem 2.12.
Transcribed Image Text:2.12 The system depicted in Fig. 2.8 is such that mass m2 moves on the frictionless horizontal table and mass m¡ can only move vertically. Use the Lagrange multiplier method to show that the tension on the inextensible string that links the bodies is given by mịm2 T g + mị + m2 where pe is the constant value of m2r²è. In the special case that pe = 0, determine the fall acceleration of mass m1. m2 U mı Problem 2.12.
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