Analytical Mech Homework Solutions 167

Analytical Mech Homework Solutions 167 - 4 V = mg [ a sin +...

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4 [ ] sin cos Vm g a b θ θθ =− + [ ] cos sin cos g b b a ′′ () 0 g b a Equilibrium … Stable Unstable ab < > 11.6 24 cos 1 ... 2! 4! + 35 sin ... 3! 5! =− + − 1 ... ... 3! 5! gab b   =+ + +− +     3 ... 22 4 a b −− + For a = b, 4 2 ... 12 a + 3 ... 3 mga V ′=− + terms in higher order of 2 ... g a ′′=− + 2 ... g a ′′′=− + 20 g a ′′′′=− < Equilibrium is unstable 11.7 The center of mass (CM) of the hemisphere is 3 8 a from the flat side (see Equation 8.1.8). The height of CM) above the point of contact between the two hemispheres is designated
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