resolving forces

May 2009
271
7
a boat on a trailer is held in equilibrium on a slipway inclined at 20° to the horizontal, by a cable inclined (upward) at theta° to a line of greatest slope of the slipway. The combined mass of the boat and trailer is 1250kg. The cable may break if the tension exceeds 7000N. Find the max value of theta.

this looked fairly straightforward to me so i used 12500cos60 = 7000cos(theta) at max tension to get theta<26.8°, but this is wrong!
i cant find where...
 
Apr 2008
748
159
a boat on a trailer is held in equilibrium on a slipway inclined at 20° to the horizontal, by a cable inclined (upward) at theta° to a line of greatest slope of the slipway. The combined mass of the boat and trailer is 1250kg. The cable may break if the tension exceeds 7000N. Find the max value of theta.

this looked fairly straightforward to me so i used 12500cos60 = 7000cos(theta) at max tension to get theta<26.8°, but this is wrong!
i cant find where...
Look again at resolving the weight on the boat and trailer.
 
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