50.0 Beam 30.0 1960 N

a horizontal rod (m=5.2 kg) is hinged to a wall at the left end and three forces are acting on the rod as shown in the figure: the force of gravity (mg), a tension force (T), and the force exerted by the hinge (broken into components Fx  and Fy) If theta = 35 degrees, what must T be equal to in order to keep the rod static?

A uniform plank of wood has a mass of 19.5kg and a length of 2.0m. A person holds the plank using both hands. The first hand exerts a downward force, F⃗ , at an end of the plank. The second hand exerts an upward force, F⃗ 2, at a distance of 50.0cm from the same end of the plank. What is the magnitude, in newtons, of the force F⃗ 2 What is the magnitude, in newtons, of the force F⃗ 1?

The drawing shows a uniform horizontal beam attached to a vertical wall by a frictionless hinge and supported from below at an angle θ = 35o by a brace that is attached to a pin. The beam has a weight of 342 N. Three additional forces keep the beam in equilibrium. The brace applies a force P¯ to the right end of the beam that is directed upward at the angle θ with respect to the horizontal. The hinge applies a force to the left end of the beam that has a horizontal component H¯ and a vertical component V¯. Find the magnitudes of these three forces.