A panel of 200 x 250 mm and 20 kg of mass is supported by hinges along the side AB. The CDE cable attached to the panel at C and passing over a small pulley at D supports a cylinder of mass m. Without considering the effect of friction, calculate the mass of the cylinder corresponding to the equilibrium position for values of θ from 0 to 90 ° in 10 ° increments [Answer so that there is an equation to determine the angle quickly, and just be replace in the formula]. Use appropriate smaller increments to determine the value of θ corresponding to the equilibrium position when m = 10 kg.

A panel of 200 x 250 mm and 20 kg of mass is supported by hinges along the side AB. The CDE cable attached to the panel at C and passing over a small pulley at D supports a cylinder of mass m. Without considering the effect of friction, calculate the mass of the cylinder corresponding to the equilibrium position for values of θ from 0 to 90 ° in 10 ° increments [Answer so that there is an equation to determine the angle quickly, and just be replace in the formula]. Use appropriate smaller increments to determine the value of θ corresponding to the equilibrium position when m = 10 kg.