To analyze the forces, draw separate free-body diagrams for each object. The acceleration of each object is zero. The force of gravity on each object can be calculated using the formula F = mg.
To analyze the forces acting on each object, we need to draw a free-body diagram for each of them. For the top book with a mass of 2 kg, the only forces acting on it are the force of gravity and the contact force from the book under it. For the book under the top book with a mass of 3 kg, the forces acting on it are the force of gravity and the contact force from the top book.
The acceleration of each object can be calculated using Newton's second law. Since the objects are at rest on the table, the net force on each object is zero. Therefore, the acceleration of each object is zero.
The force of gravity on each object can be calculated using the formula F = mg, where F is the force of gravity, m is the mass, and g is the acceleration due to gravity (approximately 9.8 m/s^2). For the top book, the force of gravity is 2 kg * 9.8 m/s^2 = 19.6 N. For the book under the top book, the force of gravity is 3 kg * 9.8 m/s^2 = 29.4 N.
Since the objects are at rest, the force on each object by the other objects must be equal and opposite to the contact force between them. Therefore, the force on the top book by the book under it is 19.6 N, and the force on the book under the top book by the top book is also 19.6 N.