A rectangular advertising sign is hinged at its upper-left corner so that it can…
PHYSICS · Multi-part · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion
Problem
A rectangular advertising sign is hinged at its upper-left corner so that it can swing freely in a vertical plane. A steady horizontal wind exerts a uniform force Fw on the face of the sign. The geometric centre of the sign is located 0.60m horizontally and 0.40m vertically below the hinge. The wind force acts horizontally toward the right across the entire face of the sign.
(a) Derive an algebraic expression for the magnitude of the torque produced by the wind about the hinge in terms of Fw, the given horizontal distance, and the given vertical distance.
(b) Evaluate the torque numerically when Fw=75N. Provide your answer with appropriate units.
(c) If the wind force were to double while the geometry remains unchanged, by what factor would the magnitude of the torque change? Explain your reasoning.