Acollar with a pulley slides on a frictionless vertical bar gh. a string abcd is wrapped around the pulley, where portion ab of the string is horizontal. a spring with 2 lb/in. stiffness is placed between the collar and point h. the spring has 8 in. unstretched length and 6 in. final length. the collar and pulley have a combined weight of 6.5 lb, and the weights of all other components are negligible. determine the value ofprequired for
equilibrium, and the reaction between the collar and bargh.

The magnets are probably damaged or there not strong enough to attached to the refrigerator

You need to be more specific.  i really don't know what a "motion map" is.you can draw a graph of an object's position, distance, displacement, speed,velocity, or acceleration versus time, or you can draw a graph of the object's x-position versus its y-position and not give any information about time at all.if the graph presents position or displacement against time,  then constant velocity is a straight line . . i.e. a line that has  constant slope.if the graph shows speed against time, then constant velocityis a horizontal piece of line.if the graph shows acceleration against time, then constant  velocity is a piece of line that lies on the x-axis . . it's value is zero. 

None. nothing. zero. zilch.