Chapter 9, Problem 7P

To determine

Maximum Chandelier weight that can be supported.

Answer to Problem 7P

Solution: 1173.8 N

Explanation of Solution

Given: cords can sustain force = 1660 N.

Upper cord makes an angle of 45^o.

Formula Used:

System is in equilibrium. Hence,

  $\begin{array}{l}{\displaystyle \sum F_x}=0\\ {\displaystyle \sum F_y}=0\end{array}$

Calculation:

  

  $F_B=F_A\cos {45}^{\text{o}}$

  $F_A\sin {45}^{\circ }=mg$

Substituting 1660 N for F_A

  $mg=\left(1660\text{N}\right)\text{sin}{\text{45}}^{\text{o}}=1173.8\text{N}$

Conclusion:Hence, maximum weight of chandelier that can be supported is 1173.8 N.