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## Homework Statement

An object with a mass of 18 kg is suspended from 2 cables as shown in the below diagram. The tensions in the cables are T

_{1}and T

_{2}.

a) Draw a free-body diagram for the object. (already solved)

b) Find the tension in both ropes, T

_{1}and T

_{2}. (already solved)

c) If string 2 were cut, how would its FBD change at that instant? Sketch a new one. (already solved)

d) What would be the magnitude and direction of the object's acceleration at that instant? (already solved)

**e) Would T**

2. Homework Equations

_{1}be different in part (b) than in part (d)? If so, what is its new value?2. Homework Equations

ΣF = ma

_{x}= w sinθ (w is weight)

## The Attempt at a Solution

b) T

_{1}= mg/sinθ = (18*9.8)/sin58 = 208 N

T

_{1,x}= T

_{2}= T

_{1}cosθ = 208 (cos58) = 110 N

d) a

_{x}= g⋅sinθ = 9.8 (sin58) = 8.31 m/s

^{2}

Now the real question...

e) Yes, T

_{1}= mg⋅sinθ = (18)(9.8)(sin58) = 149.6 N

Friend says that it will be mg⋅cosθ = 93.5 N

Please help out with this question! I know it may be simple but I'm having trouble understanding how T

_{1}changes.