A collar B of weight W can move freely along the vertical rod shown. The constant of the spring is k, and the spring is unstretched when 0.= (a) Derive an equation in , W, k, and l that must be satisfied when the collar is in equilibrium. (b) Knowing that 300 N, W = l 500 mm, = and 800 N/m, k = determine the value of corresponding to equilibrium.

PY 205 Daniel Dougherty Week 2 Notes Chapter 3 - Kinematics in two or three dimensions Vectors and scalars – velocity is how fast and in what direction the particle is moving o Magnitude – vector quantity o Scalar quantities are specified by numbers and units Addition of vectors – graphical methods o above D = displacement vectors o above v = velocity vectors Resultant displacement – represented by the arrow above the Dr o This should be smaller than the sum of the first displacement of the vector and the second displacement of the vector o The sum of the two vectors is called the resultant o Create a triangle by connecting the head and the tail of the two