Activity 5.3.3: Mass hanging from two angled strings 19. Two cords support a cha

Question

Activity 5.3.3: Mass hanging from two angled strings 19. Two cords support a chandelier in the manner shown in the image on the right. The upper cord makes an angle of 45° with the ceiling. If the weight of the chandelier is 800N, what are the value of the forces FB and FA? mg 20. In the previous problem, the cord is tied to the ceiling so that it forms an angle of 20° with it (rather than 45°). Without solving numerically for the new values of the forces, explain qualitatively if each of the forces will increase, decrease or stay the same. Justify your answer.

Explanation / Answer

19)

from the daigram,

FA*sin(45)=mg

FA*sin(45)=800

===> FA=1131.37 N

and

FA*cos(45)=FB

1131.37*cos(45)=FB

===> FB=799.99 N or 800 N

20)

here,

in the above problem,

the forces FA and FB increses if the angle between cord and ceiling decreases

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