Ropes 3 m and 5 m in length are fastened to a holiday decoration that is suspend
ID: 3118537 • Letter: R
Question
Ropes 3 m and 5 m in length are fastened to a holiday decoration that is suspended over a town square. The decoration has a mass of 10kg. The ropes, fastened at different heights, make angles of 52 and 40 with the horizontal. Give your answers correct to two decimal places. (Useg= 9.8 m/s2for the acceleration due to gravity.)
Ropes 3 m and 5 m in length are fastened to a holiday decoration that is suspended over a town square. The decoration has a mass of 10kg. The ropes, fastened at different heights, make angles of 52½ and 40½ with the horizontal. Give your answers correct to two decimal places. (Useg= 9.8 m/s2for the acceleration due to gravity.) (a) Find the tension in 3 m rope. i+j (ii) Find the magnitude of this tension. N (b) Find the tension in 5 m rope. i+j (ii) Find the magnitude of this tension. NExplanation / Answer
T1cos52= T2cos40 T1 sin52+T2sin40=98 T1= 75.1181N T2= 60.3716N T1= 46.2473i+ 59.1939j T2= -46.2473i+38.8061j
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