Math Help Forum: Physics -equilibrium

  1. #1
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    Exclamation Physics -equilibrium

    How to solve this problem ?
    Physics -equilibrium-geng02-002.jpg

    Please answer in steps
    Thank you
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  3. #2
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    Hello mj.alawami
    Quote Originally Posted by mj.alawami View Post
    How to solve this problem ?
    Click image for larger version. 

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    Please answer in steps
    Thank you
    The beam is 8 m in length; it is uniform. So its weight acts 4 m from each end.

    If the reaction forces at A and B are R_A and R_B kg-wt respectively, take moments about A:
    450 \times 4 + 220\times 5.6 -8R_B=0
    Solve this equation for R_B.

    Then resolve vertically (or take moments about B) to find R_A.

    Can you complete it now?

    Grandad
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    Quote Originally Posted by Grandad View Post
    Hello mj.alawamiThe beam is 8 m in length; it is uniform. So its weight acts 4 m from each end.

    If the reaction forces at A and B are R_A and R_B kg-wt respectively, take moments about A:
    450 \times 4 + 220\times 5.6 -8R_B=0
    Solve this equation for R_B.

    Then resolve vertically (or take moments about B) to find R_A.



    Can you complete it now?

    Grandad

    So is the answer RB=379N , and should i take into consideration the gravitational attraction or no?
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  5. #4
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    Quote Originally Posted by mj.alawami View Post
    So is the answer RB=379N , and should i take into consideration the gravitational attraction or no?
    R_B = 379g \, N
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  6. #5
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    Hello mj.alawami
    Quote Originally Posted by mj.alawami View Post
    So is the answer RB=379N , and should i take into consideration the gravitational attraction or no?
    If you are using Newtons as the unit of force, then, yes: multiply by g\; (\approx 9.8), as skeeter has shown you. I was perhaps unwise to suggest a different unit (kg-wt or kg-force).

    Grandad
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    Exclamation

    Quote Originally Posted by Grandad View Post
    Hello mj.alawamiIf you are using Newtons as the unit of force, then, yes: multiply by g\; (\approx 9.8), as skeeter has shown you. I was perhaps unwise to suggest a different unit (kg-wt or kg-force).

    Grandad

    Will Ra and Rb have the same answer ?
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  8. #7
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    Hello mj.alawami
    Quote Originally Posted by mj.alawami View Post
    Will Ra and Rb have the same answer ?
    No. Let me re-phrase my first post, take the sum of the vertical forces and equate to zero:
    450g+220g -R_A - R_B = 0
    (Some people denote this by \sum F_y=0.)

    Substitute the value we've found for R_B and solve for R_A.

    Grandad
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