12 m along an x axis that extends outward from the hinged edge of the door. A hinge 0.30 m from the top and a hinge 0.30 m from the bottom each support half the door's mass, which is 30 kg. In unit-vector notation, what are the forces on the door at (a) the top hinge and (b) the bottom hinge? (a) Number (b) Number i+ i Units. Units

A crane suspends a 600-lb steel beam horizontally by support cables (with negligible weight) attached from a hook to each end of the beam. The support cables each make an angle of 60° with the beam. Find the tension vector in each support cable and the magnitude of each tension. (Let T₁ and T₂ be the tension vectors of the left and right cables, respectively. Round all numerical values to two decimal places.) 2 T₁ = T₂ = |T₁| = IT₂1 = Need Help? Submit Answer 60° X X Read It 60° i Solox+ || VOO! ca Op Fu Sy Re Se Ve Tri Gr +

A wrecking ball (weight = 5670 N) is supported by a boom, which may be assumed to be uniform and has a weight of 2760 N. As the drawing shows, a support cable runs from the top of the boom to the tractor. The angle between the support cable and the horizontal is 32°, and the angle between the boom and the horizontal is 48°. Find (a) the tension in the support cable and (b) the magnitude of the force exerted on the lower end of the boom by the hinge at point P. (a) Number (b) Number Mk Support, cable Units Units N N 48 Boom

A 14.0 m uniform ladder weighing 480 N rests against a frictionless wall. The ladder makes a 55.0°-angle with the horizontal. (a) Find the horizontal and vertical forces (in N) the ground exerts on the base of the ladder when an 850-N firefighter has climbed 4.10 m along the ladder from the bottom. horizontal force magnitude 342.35 direction vertical force magnitude direction towards the wall up m N ✪ N (b) If the ladder is just on the verge of slipping when the firefighter is 9.10 m from the bottom, what is the coefficient of static friction between ladder and ground? (c) What If? If oil is spilled on the ground, causing the coefficient of static friction to drop to half the value found in part (b), what is the maximum distance (in m) the firefighter can climb along the ladder from the bottom before the ladder slips?