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Find the tension T2 of the box hanging from the rope if 1 = 25°, 2 = 65°, T1 = 60.58 newtons, and W = 143.4 newtons.

A.

95.6 newtons

B.

130 newtons

C.

143.4 newtons

D.

158.2 newtons

2 Answers

3 votes

Answer:

130 newtons

Step-by-step explanation:

User Nick Schroeder
by
4.6k points
6 votes

Answer:

130N

Step-by-step explanation:

Find the diagram in the attachment.

Using sine rule to get T2 as shown in the last diagram

T1/sin65° = T2/sin25°

Since T1 = 60.58N

Then:

60.58/sin25° = T2/sin65°

Cross multiplying

T2 × sin25° = 60.58sin65°

T2 = 60.58sin65°/sin25°

T2 = 54.90/00.423

T2 = 129.78N

T2 is approximately 130N

Find the tension T2 of the box hanging from the rope if 1 = 25°, 2 = 65°, T1 = 60.58 newtons-example-1
Find the tension T2 of the box hanging from the rope if 1 = 25°, 2 = 65°, T1 = 60.58 newtons-example-2
User Enbermudas
by
5.0k points