ONO S -{(a) Examine whether the are following forcer conservative or not, and if so, determine...

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ONO S -{(a) Examine whether the are following forcer conservative or not, and if so, determine the potential energy 'U'. F(d) (x,y,z) 2 d (2xyzêx+ x²zêyt tyên), F(²) (x, y₁²) B (ye¹ ex+ze rêy + xyêx), y,z) ₂ êxtze ey where √²₂ x² + y² + x² and the constants d, B, &r. (b)3 Find the equation of constraint for a sphere of radius 'a' constained to roll without slipping lower half of the inner surface of the hollow cylinder of inside radius "R? ? on the on the x-axis whose (c) A particle moves in the xy-plane under the constraint that it's velocity vector is alway, directed towards a point some given function of time f(t). Show that for f(t) differentiable, but otherwise arbitrary, the constraint is non- holonomic?. abscissa is ONO S -{(a) Examine whether the are following forcer conservative or not, and if so, determine the potential energy 'U'. F(d) (x,y,z) 2 d (2xyzêx+ x²zêyt tyên), F(²) (x, y₁²) B (ye¹ ex+ze rêy + xyêx), y,z) ₂ êxtze ey where √²₂ x² + y² + x² and the constants d, B, &r. (b)3 Find the equation of constraint for a sphere of radius 'a' constained to roll without slipping lower half of the inner surface of the hollow cylinder of inside radius "R? ? on the on the x-axis whose (c) A particle moves in the xy-plane under the constraint that it's velocity vector is alway, directed towards a point some given function of time f(t). Show that for f(t) differentiable, but otherwise arbitrary, the constraint is non- holonomic?. abscissa is

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Lets address each part of the problem a To examine whether the given force fields are conservative o... View the full answer