Question

Two horses are pulling on a tree stump. Place the tree stump at the origin of...

Two horses are pulling on a tree stump. Place the tree stump at the origin of a reference frame. One horse is pulling with a force of 1700 N at 17.2oabove the x-axis, the other horse is pulling with a force of 2000 N at an angle of 23.0o below the x-axis. Find the resultant force on the tree stump graphically and analytically (using trig).

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Answer #1

The situation described in the question is depicted below:

One horse is pulling with a force of 1700 N at 17.2oabove the x-axis which can be written as

The other horse is pulling with a force of 2000 N at an angle of 23.0o below the x-axis which can also be written as

So, the resultant force is given by

The magnitude of resultant force is

The angle made by the resultant force with x-axis is

Therefore, the resultant force on the tree stump by the horses is 3476.18 N at an angle 4.6o below x-axis.

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