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Calculus / University Calculus: Early Transcendentals 2 / Chapter 11.3 / Problem 24E

University Calculus: Early Transcendentals | 2nd Edition | ISBN: 9780321717399 | Authors: Joel R. Hass; Maurice D. Weir; George B. Thomas Jr.

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Inclined plane Suppose that a box is being towed up an

Chapter 11, Problem 24E

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QUESTION:

Inclined plane Suppose that a box is being towed up an inclined plane as shown in the figure. Find the force \(\mathbf{w}\) needed to make the component of the force parallel to the inclined plane equal to 2.5 lb.

Equation Transcription:

𝐰

Text Transcription:

w

Questions & Answers

QUESTION:

Inclined plane Suppose that a box is being towed up an inclined plane as shown in the figure. Find the force \(\mathbf{w}\) needed to make the component of the force parallel to the inclined plane equal to 2.5 lb.

Equation Transcription:

𝐰

Text Transcription:

w

ANSWER:

Problem 24E

Inclined Plane: Suppose that a box is being towed up an inclined plane shown in the figure. Find the force w needed to make the component of the force parallel to the inclined plane equal to 2.5 lb.

Step by Step Solution

Step 1 to 2

The given figure is

It is known that two vectors and are parallel if there exists a non-zero scalar such that

Then, component of the force is

(i)

Let us choose in such a way that the horizontal is defined to the mean parallel to the inclined plane.

Under such consideration, the angle becomes

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