A platform bench scale consists of a 120 lb plate resting on linear elastic springs whose...

A platform bench scale consists of a 120 lb plate resting on linear elastic springs whose combined spring constant is k = 5000 lb/ft. Let W = k(δ − δ0) be the weight measurement actually provided by the scale (that is, it reads zero pounds when nothing is on the plate), where δ0 is the spring’s compression due to the weight of the scale’s plate.

A 50 lb sack of portland cement is dropped (from rest) onto the scale from a height h = 4 ft measured from the scale’s plate (there is no rebound of the sack). Determine the maximum weight displayed by the scale.

Figure P5.50