kg supported at the left end by a horizontal axis into the page and perpendicular to the rod, as shown. The right end is connected to the ceiling by a thin vertical thread so that the rod is horizontal.
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- A 400-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal, 6.00-m-long, uniform, 120-N rod as indicated in the figure below. The left end of the rod is supported by a hinge and the right end is supported by a thin cable making a 30.0° angle with the vertical. (Assume the cable is connected to the very end of the 6.00-m-long rod, and that there are 2.00 m separating the wall from the sign.) (a) Find the (magnitude of the) tension T in the cable.=_______N (b) Find the horizontal and vertical components of the force exerted on the left end of the rod by the hinge. (Take up and to the right to be the positive directions. Indicate the direction with the sign of your answer.) HORIZONTAL COMPONENT= _________N VERTICAL COMPONENT= _________NIf the new center of gravity of a 14 m uniform steel rod with a mass m = 75 kg is situated to the left of its geometric center after a 50 kg object is attached to it, determine the point where the object is attached. 4.5 m O 8.5 m 9.5 m 7.0 mThe left-hand end of a 2.50 kg rod with a 2.00 m length is attached to a vertical wall by a hinge. A 3.00 kg object is suspended from the rod at a point 1.80 m from the hinge. The rod is held in a horizontal position by a light wire that runs from the right-hand end of the rod to the wall. The wire makes a 35.0degree angle with the rod. (a) What is the tension on the wire? (b) What is the vertical force on the hinge?
- A 1140-N uniform beam is attached to a vertical wall at one end and is supported by a cable at the other end. A 1960-N crate hangs from the far end of the beam. Using the data shown in the figure, find (a) the magnitude of the tension in the wire and the magnitudes of the (b) horizontal and (c) vertical components of the force that the wall exerts on the left end of the beam. 50.0° 30.0% Beam 1960 Na 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?The uniform 19.0 kg beam below is 6.4 m long and is perfectly balanced about a point 1.4 m from the left end. What is the mass of the block? (Hint: when calculating the torque due to the weight of the beam, consider all of its mass to be located at its center of mass.)
- A uniform 300 NN trapdoor in a ceiling is hinged at one side. Find the net upward force needed to begin to open it if the upward force is applied at the center. Express your answer with the appropriate units. Find the total force exerted on the door by the hinges if the upward force is applied at the center. Express your answer with the appropriate units Find the net upward force needed to begin to open it if the upward force is applied at the center of the edge opposite the hinges. Express your answer with the appropriate units. Find the total force exerted on the door by the hinges if the upward force is applied at the center of the edge opposite the hinges. Express your answer with the appropriate units.Can you use a slanted rope attached from the wall to the end of the beam if that rope breaks when the tension exceeds 170 N? The beam is light.A 3.0kg uniform pole 1.8m long is held horizontal by a hinge to a wall and supported by a cable attached to its center which forms a 45° angle with the pole. A large bird house with a mass of 6.6kg is at the end of tge pole. Find the force that the hinge exerts on the pole.