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Chapter 9: Q. 73 (page 604)

Force Vectors A child pulls a wagon with a force of 40 pounds. The handle of the wagon makes an angle of 30o with the ground. Express the force vector F in terms of i and j.

Short Answer

Expert verified

The force vector can be expressed as F=203i+20j.

Step by step solution

01

Step 1. Given information

The magnitude of force is 40 pounds and the handle of the wagon makes an angle of 30owith the ground.

We have to express the force vector F in terms of i and j.

02

Step 2. Substitute the values in F=F(icosα+jsinα).

F=40(cos30oi+sin30oj)F=40(32i+12j)F=203i+20j

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