your roomate wants to hang a decoration on the wall and asks for your help. you
ID: 1283231 • Letter: Y
Question
your roomate wants to hang a decoration on the wall and asks for your help. you choose two strings to hang it. the left string sits at an angle of theta1 = 24 degrees. The right string sits at an angle of theta2 = 54 degrees and has a tension of T2 = 48 N. What is the tension of the left string, T1? What is the mass of the decoration?
your roomate wants to hang a decoration on the wall and asks for your help. you choose two strings to hang it. the left string sits at an angle of theta1 = 24 degrees. The right string sits at an angle of theta2 = 54 degrees and has a tension of T2 = 48 N. What is the tension of the left string, T1? What is the mass of the decoration?Explanation / Answer
sum in the x
T2 cos theta - T1 cos theta =0
T1 = 48*cos(54 degrees)/cos(24 degrees)= 30.9 N
sum in the y
T2 sin theta + T1 sin theta - mg = 0
48*sin(54 degrees) + 30.9*sin(24 degrees) - m*9.81 =0
m=5.24 kg
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