A rod (Body 3) slides through a collar (Body 2) which is held by a rotating...

  

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A rod (Body 3) slides through a collar (Body 2) which is held by a rotating fork (Body 1). Body 3 can be treated as a slender rod, while bodies 1 and 2 are massless. A force F acts at end B and remains vertical at all times. (a) Find the contribution to the generalized forces Qi from the vertical force F(t). It is best to get the partial velocities from the expression for B. (b) Find the kinetic and potential energy expressions for this system using the generalized coordinates q₁ = y, q2 = 0, and q3 = XB. y 平 L. Body 1. Body 2 XB Body 3 A F Problem 1. (a) Q = 0; Qe = Fxsin (0); x = -Fcos (0) 2 2 (b) T = m ( x² + y² ² m ( x ² + y ² (²/ - x₂) ² sin²0 + 0² (½ − ×B)²) + — m¹² (8² + új²sin²0) XB A rod (Body 3) slides through a collar (Body 2) which is held by a rotating fork (Body 1). Body 3 can be treated as a slender rod, while bodies 1 and 2 are massless. A force F acts at end B and remains vertical at all times. (a) Find the contribution to the generalized forces Qi from the vertical force F(t). It is best to get the partial velocities from the expression for B. (b) Find the kinetic and potential energy expressions for this system using the generalized coordinates q₁ = y, q2 = 0, and q3 = XB. y 平 L. Body 1. Body 2 XB Body 3 A F Problem 1. (a) Q = 0; Qe = Fxsin (0); x = -Fcos (0) 2 2 (b) T = m ( x² + y² ² m ( x ² + y ² (²/ - x₂) ² sin²0 + 0² (½ − ×B)²) + — m¹² (8² + új²sin²0) XB