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A woodcutter wishes to cause the tree trunk to fall uphill, even though the trunk is leaning downhill. With the aid of the winch W, what tension T in the cable will be required?
The 600-kg trunk has a center
of gravity at G. The felling notch at O is sufficiently large so that the resisting moment there is negligible. Enter your answer in (N) - numerical value only

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Answer:

The correct answer will be "400.4 N". The further explanation is given below.

Explanation:

The given values are:

Mass of truck,

m = 600 kg

g = 9.8 m/s²

On equating torques at the point O,

⇒  [tex]T\times Cos(10+5)\times (1.3+4)=mg\times Sin(5)\times 4[/tex]

So that,

On putting the values, we get

⇒  [tex]T\times Cos(15^{\circ})\times 5.3=600\times 9.8\times Sin(5^{\circ})\times 4[/tex]

⇒                             [tex]T=400.4 \ N[/tex]

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