Final answer:
To find the force that the wall exerts on the beam when the person is standing 2.0 m to the right of the wall, we can use the concept of torque. By balancing the torques generated by the person and the wall, we can determine the force exerted by the wall. The force exerted by the wall is 9.8 N.
Step-by-step explanation:
To find the force that the wall exerts on the beam, we need to consider the torque of the system. The torque is defined as the product of the force and the perpendicular distance from the axis of rotation. In this case, the person standing at a point 2.0 m to the right of the support wall is applying a force that generates a clockwise torque. To balance this torque, the wall must exert an equal and opposite counterclockwise torque on the beam.
Since we know the distance between the person and the support wall is 2.0 m, we can use the equation for torque:
Torque = Force × Distance
Plugging in the values, the torque generated by the person is:
Torque = (Force of the person)(Distance) = (Mg)(Distance) = (1.0 kg)(9.8 m/s^2)(2.0 m) = 19.6 N·m
Since the system is in equilibrium, the torque generated by the wall must also be 19.6 N·m. Assuming the wall exerts a force perpendicular to the beam, we can rearrange the torque equation to solve for the force:
Force = Torque / Distance = 19.6 N·m / 2.0 m = 9.8 N