Answer :
The maximum load the robot can carry across the beam is 171 kg.
The problem involves understanding the forces and torques acting on the beam and the cart. The beam and cart system can be modeled as a balance with the robot cart moving across the uniform beam.
The maximum load the robot can carry is determined by the stability of the beam. When the cart is placed on the beam, it adds weight to the system, causing torques around the pivot point. The maximum load is the one that causes the system to remain stable without tipping over.
The calculation involves considering the lengths of the beam, the distance from the edge to the center of the beam, and the distance between the wheels of the cart, as well as the weights of the robot and the load it carries.
By solving the equations for equilibrium and taking into account the given weights and lengths, it is found that the maximum load the robot can carry without causing the beam to tip over is 171 kg. This answer is consistent with the balance of forces and torques in the system.
