Oh dear ... kinetics HSC question. Blow in my ear to dust out the cobwebs.
Lets see. Start with the truck. 100 tonnes. Shall we use 9.8ms^-2 for acceleration due to gravity which gives us 9800000 Newtons force
17.5 degrees. Without being able to draw the vectors, you'll just have to take my word for it that we want 9800000N Opposite/Hypotenuse which means we want a SIN function.
SIN(17.5)=X/9800000N
SIN(17.5)=0.3 x 9800000 = X = 2947000 Newtons for force is required to stop to it from rolling down the hill.
If the rope broke, then the Truck would accelerate down the hill at 2947000/100000 = 2.947ms^-2
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