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23 Nov 2019
A beam is connected to a wall with a hinge. The beam has amass of 20 kg and is angled 30 degrees below the horizontal. Twocables are connected to the far end of the beam. One cable isangled 40 degrees from the vertical and is connected to the ceilingabove the beam. The second cable holds a box with a mass of 35kg.
(a) What is the tension in the cable that runs between the beam andthe ceiling?
(b) What is the magnitude and direction from the +x axis of theforce exerted by the hinge on the beam?
A beam is connected to a wall with a hinge. The beam has amass of 20 kg and is angled 30 degrees below the horizontal. Twocables are connected to the far end of the beam. One cable isangled 40 degrees from the vertical and is connected to the ceilingabove the beam. The second cable holds a box with a mass of 35kg.
(a) What is the tension in the cable that runs between the beam andthe ceiling?
(b) What is the magnitude and direction from the +x axis of theforce exerted by the hinge on the beam?
(a) What is the tension in the cable that runs between the beam andthe ceiling?
(b) What is the magnitude and direction from the +x axis of theforce exerted by the hinge on the beam?
23 Jun 2023
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Related questions
A uniform steel beam of length 
and mass 
is attached via a hinge to the side of a building. The beam is supported by a steel cable attached to the end of the beam at an angle 
, as shown. Through the hinge, the wall exerts an unknown force, 
, on the beam. A workman of mass 
sits eating lunch a distance 
from the building.
| Part A | |
|---|---|
|
Find
 , the tension in the cable. Remember to account for all the forces in the problem |
|
Part B
Find 
, the x-component of the force exerted by the wall on the beam ( ), using the axis shown. Remember to pay attention to the direction that the wall exerts the force.
