Question

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

Answer 1

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

Step-by-step explanation:

The given values are:

Mass of truck,

m = 600 kg

g = 9.8 m/s²

On equating torques at the point O,

⇒
`T* Cos(10+5)* (1.3+4)=mg* Sin(5)* 4`

So that,

On putting the values, we get

⇒
`T* Cos(15^(\circ))* 5.3=600* 9.8* Sin(5^(\circ))* 4`

⇒
`T=400.4 \ N`