Question

A tree trunk is pulled with a force of 3200 pounds by a truck's cable that makes an angle of 25° with the horizontal. What is the vertical component of the force correct to the nearest pound?

Answer 1

The vertical component of the force is 1352 pounds.

Explanation:

Given that,

Force acting on the tree trunk, F = 3200 pounds

The truck's cable makes an angle of 25 degree with the vertical. We need to find the vertical component of the force. We know that the force is a vector quantity. The vertical component is given by :

`F_y=F\sin\theta\\\\F_y=3200* \sin (25)\\\\F_y=1352.37\ \text{pounds}`

`F_y=1352\ \text{pounds}`

Hence, the vertical component of the force is 1352 pounds.