So, my wife bought my daughter a "Home Gym Yoga Hammock" which is basically a large swing that she'll do exercises in. The intention is to hang it from my garage studs so she has a place to work out; she's a dancer and her normal routines have been badly disrupted by the studio closure due to social distancing needs.
However, the installation video shows how to install it in concrete, and then cuts off right as it's about to cover how to install it to wood (sheesh...). The included hardware is, I believe, concrete fasteners, and it's my understanding that they won't be durable if I try to insert them into wood studs - certainly not for my daughter's weight while she's exercising. Of course if they come loose she could get badly hurt, so I need to get this 100% right. She's 5'8" and essentially fully-grown, so don't think "only supporting a child's weight".
Here's a picture of the mounting plate, and two of the bolts (one assembled, one disassembled) that came with it.
What kind of fastener do I need to properly secure this to my garage rafters? Edit: note that my garage has a drywall ceiling on it, so I’ll need to pierce the drywall and drive into the studs.