Two construction workers, Cliff and Will, are holding a...

Two construction workers, Cliff and Will, are holding a triangular pane of glass as shown in the following figure. The weight of the glass is $300 \mathrm{N}$. The center of gravity is indicated by a cross on the diagram. Both of the workers are pushing directly upward on the glass and the pane of glass is not moving. Draw an extended free-body diagram for the pane of glass, and find the forces exerted by Cliff and will.

Key Concepts

Free-body Diagram

A free-body diagram is a simplified representation of an object isolated from its surroundings, showing all the external forces acting upon it. In the context of the problem, it illustrates the weight of the glass and the upward forces exerted by the two workers, making it easier to apply the principles of equilibrium without any unnecessary details.

Equilibrium Conditions

For an object to remain stationary, both the net force and the net moment (torque) acting on it must be zero. This means that upward forces must balance the downward gravitational force and that the torques about any pivot point must cancel each other out, ensuring there is no linear or rotational motion.

Center of Gravity

The center of gravity is the point at which the entire weight of an object can be considered to act. In problems involving equilibrium, knowing the location of the center of gravity helps determine how weight is distributed and plays a critical role in calculating the moments about a given point.

Torque (Moment)

Torque, or moment, is the measure of the force causing an object to rotate about an axis. It is calculated as the product of the force and the perpendicular distance from the pivot point to the line of action of the force. In the problem, balancing the torques is essential to ensure the glass does not rotate, creating a system in static equilibrium.

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