Your friend\'s 1.44 g graduation tasselhangs on a string from his rear-view mirr

Question

Your friend's 1.44 g graduation tasselhangs on a string from his rear-view mirror. (a) When he accelerates from a stoplight, thetassel deflects backward toward the rear of the car hanging at anangle of 6.14° relative to thevertical. Find the tension in the string holding the tassel.
1 N
(b) At what angle to the vertical will the tension in the string betwice the weight of the tassel?
2 degree WRONG ANSWERplease help (a) When he accelerates from a stoplight, thetassel deflects backward toward the rear of the car hanging at anangle of 6.14° relative to thevertical. Find the tension in the string holding the tassel.
1 N
(b) At what angle to the vertical will the tension in the string betwice the weight of the tassel?
2 degree WRONG ANSWERplease help

Explanation / Answer

mass m = 1.44 g = 1.44 * 10 ^ -3 kg weight W = mg               = 1.44 * 10 ^ -3 * 9.8 = 14.112 * 10 ^ -3 N T sin = ma          a = T sin / m            =0.01418 * sin 6.14 / ( 1.44 * 10 ^ -3 )           = 1.053m / s ^ 2 (b). weight W ' = 2W = 28.224 * 10 ^ -3 N T cos = W ' T sin = ma T sin / T cos = ma / W '              tan = [ 1.44 * 10 ^ -3 * 1.053 ] / 28.224 * 10 ^ -3                      = 0.0537                   = 3.07 degrees

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