Problem 39P

At the bow of a ship on a stormy sea, a crewman conducts an experiment by standing on a bathroom scale. In calm waters, the scale reads 182 lb. During the storm, the crewman finds a maximum reading of 225 lb and a minimum reading of 138 lb. Find (a) the maximum upward acceleration and (b) the maximum downward acceleration experienced by the crewman.

a.)

Step 1 of 3

We have to find the maximum upward acceleration experienced by the crewman at the bow of a ship on a stormy sea.

The maximum upward acceleration experienced by the crewman can be found using the equation for the apparent weight.

where,

= maximum apparent weight of the crew man

= weight of the crewman in calm waters in N

upward acceleration in m/s2

mass of the crew in calm waters in kg

Now, weight of the crewman in calm waters is,

and the maximum apparent weight of the crew man is