Two horizontal beams are used to balance the masses A, B, and C, as shown in the figure. Each beam has a length of 3 meters. Determine the mass A and B; together with the forces exerted by Cables D, E, F, G, and H, if mass c is 30 kg.

Parvinbhai

A crate with dimensions l = 0.50 m and h = 0.75 m rests on a plane that is inclined by θ = 30◦ from thehorizontal. The crate is in equilibrium, but if the crate were too tall, it will fall over down the slope.Find the effective point of application of the normal force on the crate, i.e., where is the normal force actingon the crate, keeping the crate in equilibrium? Hint: choose the crate’s center of mass as the axis of rotation.

3. Determine the height d of cable AB so that the force in cables AD and AC is one-half as great as the force in cable AB. What is the force in each cable for this case? The flower pot has a mass of 50 kg.