Conservative & Non-Conservative Forces - Example 7.4-1

Non-conservative
Conservative

Case 1: Consider a particle moving along a horizontal table in a straight line from position 1 to 2.

U_1-2 = F_f d
U_1-2 = -F_f d
U_1-2 = -F_f v

Case 2: Consider a particle moving along a horizontal table that changes direction to get from 1 to 2.

U_1-1b = -F_f (d cos30^o)
U_1-1b = -F_f (d sin30^o)
U_1-1b = -F_f d

U_1b-2 = -F_f (d cos30^o)
U_1b-2 = -F_f (d sin30^o)
U_1b-2 = -F_f d

U_1-2 = -1.366F_f (d cos30^o)
U_1-2 = -1.366F_f
U_1-2 = -F_f d