15. Rotational Equilibrium

Beam / Shelf Against a Wall

Torque Example #2: Hanging Sign Problem

A beam 200 kg in mass and 4 m in length is held against a vertical wall by a hinge on the wall and a light horizontal cable, as shown. The beam makes 53° with the wall. At the end of the beam, a second light cable holds a 100 kg object. Calculate the angle that the Net Force of the hinge makes with the horizontal (use +/– for above/below +x axis, and use g=10 m/s2.)<img src="https://static.studychannel.pearsonprd.tech/courses/physics/thumbnails/images/09218bae"alt=""/>

Beam supporting an object

The horizontal beam in Fig. E11.14 weighs 190 N, and its center of gravity is at its center. <img src="https://lightcat-files.s3.amazonaws.com/problem_images/12cbe4b2e983c099-advertising.png" alt="" /> Find (a) the tension in the cable.

Physics, Torque (11 of 13) Static Equilibrium, Hanging Sign No. 5

A beam 200 kg in mass and 6 m in length is held horizontally against a wall by a hinge on the wall and a light rod underneath it, as shown. The rod makes an angle of 30° with the wall and connects with the beam 1 m from its right edge. Calculate the angle that the Net Force of the hinge makes with the horizontal (use +/– for above/below +x axis, and use g=10 m/s2.)<img src="https://static.studychannel.pearsonprd.tech/courses/physics/thumbnails/images/412ef8c5"alt=""/>

12) Static Equilibrium - beam on wall 1 - numerical

Physics - Mechanics: Torque (1 of 7)  Mass on Rod and Cable

A 9.00-m-long uniform beam is hinged to a vertical wall and held horizontally by a 5.00-m-long cable attached to the wall 4.00 m above the hinge (Fig. E11.17). The metal of this cable has a test strength of 1.00 kN, which means that it will break if the tension in it exceeds that amount. <img src="https://lightcat-files.s3.amazonaws.com/problem_images/52c8e14675c87f9e-i3.png" alt="" /> (b) What is the heaviest beam that the cable can support in this configuration?

CH9 Problem7 Static Equilibrium

A nonuniform beam 4.50 m long and weighing 1.40 kN makes an angle of 25.0° below the horizontal. It is held in position by a frictionless pivot at its upper right end and by a cable 3.00 m farther down the beam and perpendicular to it (Fig. E11.20). The center of gravity of the beam is 2.00 m down the beam from the pivot. Lighting equipment exerts a 5.00-kN downward force on the lower left end of the beam. Find the tension T in the cable and the horizontal and vertical components of the force exerted on the beam by the pivot. Start by sketching a free-body diagram of the beam. <img src="https://lightcat-files.s3.amazonaws.com/problem_images/af4f94fce020974b-n6.png" alt="" />

The horizontal beam in Fig. E11.14 weighs 190 N, and its center of gravity is at its center. <img src="https://lightcat-files.s3.amazonaws.com/problem_images/84b5a380bcf0db49-improver.3.png" alt="" /> Find (b) the horizontal and vertical components of the force ex-erted on the beam at the wall.

AP Physics 1: Equilibrium 6: Problem 5: Beam Supported by Wall and Slanted Cable

A 9.00-m-long uniform beam is hinged to a vertical wall and held horizontally by a 5.00-m-long cable attached to the wall 4.00 m above the hinge (Fig. E11.17). The metal of this cable has a test strength of 1.00 kN, which means that it will break if the tension in it exceeds that amount. <img src="https://lightcat-files.s3.amazonaws.com/problem_images/4d743e20ce249347-Untitled-3.png" alt="" /> (c) Find the horizontal and vertical compo-nents of the force the hinge exerts on the beam. Is the vertical component upward or downward?

Find the tension T in each cable and the magnitude and direction of the force exerted on the strut by the pivot in each of the arrangements in Fig. E11.13. In each case let w be the weight of the suspended crate full of priceless art objects. The strut is uniform and also has weight w. Start each case with a free-body diagram of the strut. (a) <img class="fr-dib" src="https://lightcat-files.s3.amazonaws.com/problem_images/83e1752298fd0917-1678284579943.jpg" style="width: 300px;">

The figure shows a 75 kg construction worker sitting on a massless beam with a length of 3.0 m. If the tension in the cable is 1100 N, how far from the left end of the beam is the construction worker sitting? <img src="https://media.pearsoncmg.com/aw/aw_knight_cp_4_du/msa/content/practice-test/img/CH08_Question01.jpg" alt="A construction worker sits on a 6.0 meter long horizontal beam, 2.0 meters from its right end. A cable extends upward and leftward at a 30 degrees angle above the horizontal from the right end of the beam to the wall." />

Beam  Shelf Against a Wall

Find the tension T in each cable and the magnitude and direction of the force exerted on the strut by the pivot in each of the arrangements in Fig. E11.13. In each case let w be the weight of the suspended crate full of priceless art objects. The strut is uniform and also has weight w. Start each case with a free-body diagram of the strut. (b) <img class="fr-dib" src="https://lightcat-files.s3.amazonaws.com/problem_images/cf006b1b71edf92f-1678284578051.jpg" style="width: 300px;">

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