A uniform rectangular wooden panel of mass is being lifted vertically upward by two…

PHYSICS · Multi-part · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A uniform rectangular wooden panel of mass 8.0 kg8.0\,\text{kg} is being lifted vertically upward by two identical light cords attached to its upper corners. At the instant shown, the cords are parallel, each making a 15∘15^\circ angle with the vertical and exerting equal tensions of 60 N60\,\text{N}. The panel’s center of mass is exactly at its geometric center. Answer the following about the state of the panel at that instant. (1) Draw and label a complete free-body diagram for the panel. Clearly indicate the location and direction of each force. (2) Is the panel in translational equilibrium at this instant? Describe your reasoning in words without performing numerical calculations. (3) Is the panel in rotational equilibrium at this instant? Explain qualitatively how you arrive at your conclusion. (4) Explain, in two or three well-reasoned sentences, how this situation illustrates that translational equilibrium and rotational equilibrium are independent conditions.

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