wrote

Is it possible to damage the house from using the living room as a
work out area? I was concerned about all the shocks to the floor from
jumping rope, etc. I have a newer home built in the last 5 years.

Grin, I see it's on joists not slab. The next bit would be weight of the
person. If a fairly standard '200 lbs or under' not a concern.

If it was on slab, weight is not a concern.

If however a 350 lb person could jump 12 inches then let gravity take them
back down, possible concern to the flooring over the joists. I dont have
the physics background to know what a 350 lb weight dropped from 12 inches
would be in actual impact force but it's more than just 'gently' setting 350
lbs on the same surface.

Is that what you are looking for in information?