Final answer:
The center of mass of the rigid beam is at the midpoint. Torque and equilibrium can be calculated by balancing the moments around the support. The rigid beam does not exhibit simple harmonic motion.
Step-by-step explanation:
Given a 3m long rigid beam with a mass of 100kg, we can determine the center of mass by finding the point along the beam where the distribution of mass is balanced. In this case, since the beam is uniform, the center of mass is at the midpoint, which is 1.5m from either end of the beam.
To determine the torque and equilibrium, we need to consider the forces acting on the beam. If the beam is in equilibrium, the clockwise and counterclockwise moments around the support at the wall must balance. This can be calculated by multiplying the force applied to one end of the beam by its distance from the support.
Angular momentum is a property of rotating objects and is given by the product of an object's moment of inertia and its angular velocity. In this case, since the beam is not rotating, the angular momentum is zero.
Simple harmonic motion refers to the periodic motion of an object that is subject to a restoring force that is proportional to its displacement from an equilibrium position. The rigid beam described in the question does not exhibit simple harmonic motion.