Two strings are hanging from a ceiling and are both attached to another string w
ID: 1707521 • Letter: T
Question
Two strings are hanging from a ceiling and are both attached to another string with a mass of 10 kg. ?1 = 31degrees and ?2= 15degrees. Find T1,T2 and T3.________________
?1 ?2/
/
T1 /T2
/
|T3
|Mass|
This is a problem we did in class and T3 is obviously 98N. Although when I got the other tentions (T1= 64.48N & T2 = 55.34N) my professor said I was wrong and his tentions that he came up with were each larger than T3 .. I didnt write down his answers for each but they were both in the hunderds. I thought this didnt make since because the only force acting on this is the 98 N, so shouldnt T1&T2 be smaller than T3?? Help me out please!
Explanation / Answer
Actually, your numbers should be higher than the T3, because T1 and T2 are acting on the string with horizontal forces as well as vertical forces. The vertical forces of T1 and T2 should add up to exactly 98N, but since the forces are acting at angles, the value of the two tensions must add up to be larger than the 98N. The answers that I got were that T1=95.14N and T2=189.32N (assuming that the angles are from the horizontal) How I did it: The y components of T1 and T2 will both be 49N (98/2) Then, you know that T1 = T1y/sin31 = 95.14N and T2 = T2y/sin15 = 189.32N If you solve for the x components of the tensions, you should notice that they add up to zero as well, because the system is in equilibrium.
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