The acceleration of the block in segment i is given by: ai=Fim If the speed of the block is v0 at the beginning of segment 1 (x=x0), we can ...The acceleration of the block in segment i is given by: ai=Fim If the speed of the block is v0 at the beginning of segment 1 (x=x0), we can find its speed at the end of segment 1 (x=x1), v1, using kinematics and the fact that the acceleration in segment 1 is a1: v21−v20=2a1(x1−x0)v21=v20+2a1Δx∴v21=v20+2F1mΔx We can now easily…
We can describe the motion of an object whose velocity vector does not continuously change direction as “linear” motion. For example, an object that moves along a straight line in a particular directi...We can describe the motion of an object whose velocity vector does not continuously change direction as “linear” motion. For example, an object that moves along a straight line in a particular direction, then abruptly changes direction and continues to move in a straight line can be modeled as undergoing linear motion over two different segments. An object moving around a circle, with its velocity vector continuously changing direction, would not be considered to be undergoing linear motion.
