A uniform 8.00 m. 1500 kg beam is hinged to a wall and supported by a thin cable attached 2.00 m from the free end of the beam, as shown in the figure. The beam is fixed to the wall by a hinge at an angle of 30.0-above the horizontal. The angle between the cable and the beam is 40.0. 40.0 Starting from the force balance equation in the vertical and the torque balance equation around the point where the beam is fixed to the wall: What is the correct expression for the hinge force H? O (Mg-H sin 30) x 6m cos 30- Mg x 4m (Mg-H sin 30) x 6m - Mg x 4m OME Hsin 30) xóm Mexim (Mg-H cos 30) x 6m - Mg x 4m

A uniform 8.00 m. 1500 kg beam is hinged to a wall and supported by a thin cable attached 2.00 m from the free end of the beam, as shown in the figure. The beam is fixed to the wall by a hinge at an angle of 30.0-above the horizontal. The angle between the cable and the beam is 40.0. 40.0 Starting from the force balance equation in the vertical and the torque balance equation around the point where the beam is fixed to the wall: What is the correct expression for the hinge force H? O (Mg-H sin 30) x 6m cos 30- Mg x 4m (Mg-H sin 30) x 6m - Mg x 4m OME Hsin 30) xóm Mexim (Mg-H cos 30) x 6m - Mg x 4m

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

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A uniform 8.00 m. 1500 kg beam is hinged to a wall and supported by a thin cable attached 2.00 m from the free end of the
beam, as shown in the figure. The beam is fixed to the wall by a hinge at an angle of 30.0 above the horizontal. The angle
between the cable and the beam is 40.0.
40.0
Starting from the force balance equation in the vertical and the torque balance equation around the point where the beam is
fixed to the wall: What is the correct expression for the hinge force H?
O (Mg-H sin 30) x 6m cos 30- Mg x 4m
OME Hsin 30) xóm - Mexâm
OMETHsin 30) xóm Mg xâm
O(Mg-H cos 30) x 6m - Mg x 4m

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Step 1: Vertical Force Balance Equation:

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Step 2: Torque Balance Equation:

VIEW

Step 3: Now, let's solve for T:

VIEW

Step 4: Let's calculate the values of sin(40°) and cos(30°):

VIEW

Step 5: Now, we can substitute the value of T back into the vertical force balance equation to find H:

VIEW

Step 6: Finally, we can substitute the value of T we found earlier:

VIEW

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