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Answer :
Final answer:
To find the force needed to prevent the truck from rolling down an inclined ramp, trigonometry is used to determine the weight components. The calculated force required is approximately c. 1,435 lb.
Explanation:
To find the magnitude of the force required to keep the truck from rolling down the ramp, we need to consider the weight of the truck and the angle of the incline.
Using trigonometry, we can resolve the weight of the truck into two components: one parallel to the incline and one perpendicular to it. The force needed to prevent the truck from rolling is equal in magnitude but opposite in direction to the component of the weight pulling the truck down the ramp.
Once calculated, the approximate magnitude of the force required is c. 1,435 lb.
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