Calculating Weight and Sliding Force on a Roof | Statics Problem Solution

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SUMMARY

The discussion focuses on calculating the weight of a girl standing on a sloped roof and the force attempting to slide her off. The roof has a rise of 5 meters for every 14 meters of horizontal run, resulting in an angle of 19.65 degrees. The girl's weight is determined to be 127.39N using the cosine function, while the sliding force acting on her is calculated to be approximately 42.84N using the tangent function. The calculations are confirmed to be accurate by other participants in the discussion.

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  • Understanding of trigonometric functions: tangent and cosine
  • Basic knowledge of statics and forces
  • Ability to calculate angles from rise and run ratios
  • Familiarity with Newton's laws of motion
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  • Study the application of trigonometric functions in statics problems
  • Learn about the concept of friction and its role in preventing sliding
  • Explore the effects of different roof angles on sliding forces
  • Investigate how to calculate forces on inclined planes in physics
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This discussion is beneficial for students studying physics, particularly those focusing on statics and forces, as well as engineers and architects involved in structural design and safety assessments.

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please Check my static problem

Homework Statement



a roof that has a rise of 5 meteres for every 14 meters of horizontal run. A girl stands on a scale on the roof and the scale reads 120N . what is the actual weight of the girl? what force tends to slide the girl off of the roof?

Homework Equations



tan theta=opp/adj
cos theta=adj/hyp


The Attempt at a Solution


i found the degree first, which is 19.65 degrees, I found this by using tan equation. Then I used this degree to find the weight of the grl, which is 127.39N, used cos equation. Then finally, using the degree again and tan equation, the force sliding the girl off the roof is 42.84N. I just want to know if I have the answer right? Thank you for the help!
 
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phys1618 said:

Homework Statement



a roof that has a rise of 5 meteres for every 14 meters of horizontal run. A girl stands on a scale on the roof and the scale reads 120N . what is the actual weight of the girl? what force tends to slide the girl off of the roof?

Homework Equations



tan theta=opp/adj
cos theta=adj/hyp


The Attempt at a Solution


i found the degree first, which is 19.65 degrees, I found this by using tan equation. Then I used this degree to find the weight of the grl, which is 127.39N, used cos equation. Then finally, using the degree again and tan equation, the force sliding the girl off the roof is 42.84N. I just want to know if I have the answer right? Thank you for the help!
Pretty close. The girl's weight is correct. Also, there is a 42.8N force trying to slide her down the roof. What is the nature of that force? It may not be successful in making her slide if there is enough ________ available to offset this force.
 


are you talking about gravity??
 

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