Question

This hurts. Help me.

Answer 1

a. T₂ = 60 N

b. W = 25.98 N

Step-by-step explanation:

a.

Taking right side as positive x direction, the equation for sum of forces in x-direction can be written as follows:

`T_(2)Sin\ 30^o - T_(1) = 0\\T_(2)Sin\ 30^o = T_(1)\\T_(1) = (T_(2))(Sin\ 30^o)\\where,\\T_(2) = 30\ N\\Therefore,\\T_(1) = (30\ N)(Sin\ 30^o)\\`

T₁ = 15 N

b.

Taking upward direction as positive y direction, the equation for sum of forces in y-direction can be written as follows:

`T_(2)Cos\ 30^o - W = 0\\T_(2)Cos\ 30^o = W\\W = (30\ N)Cos\ 30^o\\`

W = 25.98 N