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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 freebody 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_{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.
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