Newton's First Law (Translational Equilibrium)

AP Physics 1· difficulty 3/5

W T₁ (60° below horizontal) T₂ (horizontal)

A weight W=50 NW = 50~\text{N} hangs in equilibrium. String 1 makes 6060^\circ below the horizontal ceiling and supports the weight. String 2 is horizontal. What is the tension in <strong>string 2</strong>?

  • A

    29 N29~\text{N}

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  • B

    25 N25~\text{N}

  • C

    50 N50~\text{N}

  • D

    58 N58~\text{N}

Explanation

Vertical: T1sin60=WT1=50/0.86658 NT_1 \sin 60^\circ = W \Rightarrow T_1 = 50/0.866 \approx 58~\text{N}. Horizontal: T2=T1cos6058×0.5=29 NT_2 = T_1 \cos 60^\circ \approx 58 \times 0.5 = 29~\text{N}.

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