Question

A 100 kg box is hanging from two strings. String #1 pulls up and left, making an angle of 80o with the horizontal on the left, and string #2 pulls up and to the right, making an angle of 65o with the horizontal on the right. FInd the tension in string #2 (on the right side)

Answer 1

Answer:296.76 N

Step-by-step explanation:

Given

mass of box
`m=100 kg`

Let
`T_1` be the Tension in left side and
`T_2` be the Tension in the right side

From diagram

`T_1\cos 80=T_2\cos 65`

`T_1=T_2\cdot (\cos 65)/(\cos 80)`

and

`T_1\sin 80+T_2\sin 65=100\cdot g`

`T_2\left [ \tan 80\cdot \cos 65+\sin 65\right ]=100\cdot g`

`T_2=(100\cdot g)/(\left [ \tan 80\cdot \cos 65+\sin 65\right ])`

`T_2=(980)/(3.3023)=296.76 N`