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Consider the following expressions: A1: f = Fw A2: f = Fw sinθ B1: N =...

Consider the following expressions: A1: f = Fw A2: f = Fw sinθ
B1: N =
W 2 B2: N = W
C1: ℓFw sinθ = 2Fw cosθ C2: ℓFw sinθ = ℓ W cosθ C3: ℓFw sinθ = 1 2 ℓ W cosθ, where f: force of friction between the ladder and the ground, Fw: normal force on the ladder due to the wall, θ: anglebetween theladder and theground, N: normal force on the ladder due to the ground, W: weight of the ladder, and ℓ: length of the ladder. Identify the set of equations which is correct.
1. A1, B2, C3
2. A1, B2, C2
3. A2, B1, C3
4. A1, B1, C1
5. A1, B1, C2

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Answer #1

Normal force on the ladder due to the ground = Weight
N = W

Also, normal force on the ladder due to the wall, Fw = frictional force
f = Fw

Moment about the lowest point,

ℓFw sinθ = 1/2 ℓ W cosθ

A1, B2 and C3 are correct.

1. A1, B2, C3

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