Please show your work. Questions 278-281 refer to the diagram below. Which of th

Question

Please show your work.

Questions 278-281 refer to the diagram below. Which of the following must be true of magnitudes of the tensions given in the diagram? T 1 > T 2 T 2 > T 1 T 1 = T 2 T 3 = T 1 + T 2 If m = 10 kg, theta 1 = 60 degree and theta 2 = 30 degree, the tension T 3 is: 50 N 100 N 137N 237 N If m = 10 kg, theta 1 = 60 degree and theta 2 = 30 degree, the tension T 2 is: 50 N 59 N 100 N The tension T 2 depends upon the length of T 2. If m = 100 kg, theta 1 = 30 degree and theta 2 = 30 degree, the tension T 1 is: 500 N 866 N 1000 N 1732 N

Explanation / Answer

Force in vertical direction by T1 and T2 is
T1sin1 + T2sin2

By newton's law in vertical direction we have

T1sin1 + T2sin2 =T3 = Mg eq1

By newton's law in horizontal direction we have

T1cos1 =T2cos2 eq2

From here just put in the value and proceed using the two equation 1 and 2

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