Kinetic and Static Friction

AP Physics 1· difficulty 2/5

F₁ F₂ W

An object is in static equilibrium under three forces shown. F1=F2F_1 = F_2 and they each make 4545^\circ with the vertical (above the object). Weight WW pulls straight down. The relation among the magnitudes is

  • A

    F1=F2=W/2F_1 = F_2 = W/\sqrt{2}

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  • B

    F1+F2=WF_1 + F_2 = W

  • C

    F1=F2=W/2F_1 = F_2 = W/2

  • D

    F1=F2=WF_1 = F_2 = W

Explanation

Vertical sum: 2F1cos45=WF1=W/22 F_1 \cos 45^\circ = W \Rightarrow F_1 = W/\sqrt 2.

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