Physics Problem: Equilibrium for a Penguin on a Plank

A penguin has a mass of 11 kg and is walking on a horizontal board with a mass of 5 kg and a length of 2.5 meters (uniform density). One end of the board is attached to a vertical wall and the other end is supported by a wire pulling at a 50 degree angle. If the wire can support a maximum tension of 88 Newtons, how far from the wall can the penguin walk before the wire breaks?
I'm working through chapter summaries for introductory physics (algebra-based). I'm using the Openstax online (free) textbook College Physics. You can access this book here openstax.org/d...
Here is the playlist with all the videos and problems for this course.
• Online Physics 1 2024