Block Pulled by a Spring: Dynamics

This lecture discusses the dynamics of a block of mass m on a horizontal support, connected to a spring of stiffness k. The block is initially at rest, and the spring is stationary. The experimenter moves the spring's other end at a constant speed V. The forces acting on the block are enumerated, and the equations of motion are derived. The solution involves a change of variable X(t)=x(t)+ut. The lecture also calculates the times when the block's velocity becomes zero and when it catches up with the experimenter.