A stake is being pulled out of the ground by means of two ropes as shown. Knowing that =

Chapter 2, Problem 2.5

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QUESTION:

A stake is being pulled out of the ground by means of two ropes as shown. Knowing that = 30, determine by trigonometry (a) the magnitude of the force P so that the resultant force exerted on the stake is vertical, (b) the corresponding magnitude of the resultant.

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QUESTION:

A stake is being pulled out of the ground by means of two ropes as shown. Knowing that = 30, determine by trigonometry (a) the magnitude of the force P so that the resultant force exerted on the stake is vertical, (b) the corresponding magnitude of the resultant.

ANSWER:



(a) To determine the magnitude of the force P, we must first find the resultant force that is being applied to the stake. This can be calculated using trigonometry.

The magnitude of the two forces can be calculated using the law of sines as:

|Force 1| = 50cos

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