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Solution 5.7b

From Mechanics

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Resolving vertically upwards,


Tcos30+Smg=0

where S is the spring force which we assume is upwards.

This gives

S=mg Tcos30=409.8900.866=314 N

As S is positive this means the spring is pushing upwards on the mass and thus the spring is in compression. (If S had been negative the spring would have been pulling downwards on the mass and thus would be in tension).