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How large is the average friction force?

How do I find force? theta, coefficient of static friction are given?

  • Answer:

    Sum of the forces in the vertical direction = 0 = N - F*sin(21) - m*g N = F*sin(21) + m*g Sum of the forces in the horizontal direction = 0 = F*cos(21) - friction F*cos(21) = friction NOTE: If the crate was moving, then the sum of the forces in the horizontal direction would = m*a friction = u*N = u*(F*sin(21) + m*g) F*cos(21) = u*(F*sin(21) + m*g) F*cos(21) = u*F*sin(21) + u*m*g F*(cos(21) - u*sin(21)) = u*m*g F = (u*m*g) / (cos(21) - u*sin(21)) Plug and chug.

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Sum of the forces in the vertical direction = 0 = N - F*sin(21) - m*g N = F*sin(21) + m*g Sum of the forces in the horizontal direction = 0 = F*cos(21) - friction F*cos(21) = friction NOTE: If the crate was moving, then the sum of the forces in the horizontal direction would = m*a friction = u*N = u*(F*sin(21) + m*g) F*cos(21) = u*(F*sin(21) + m*g) F*cos(21) = u*F*sin(21) + u*m*g F*(cos(21) - u*sin(21)) = u*m*g F = (u*m*g) / (cos(21) - u*sin(21)) Plug and chug.

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