Explanation Given: The centroid of the differential element along z axis is z ˜ . The weight on each component is represented by W . Explanation: Show a wooden table is divided into two segments as shown in Figure 1. Draw the free body diagram of a wooden table as in Figure 2. Determine the location of the centre of gravity of a sheet metal part along z axis ( z ¯ ) using the relation. z ¯ = ∑ z ˜ A ∑ A (I) Refer to Figure (2) and determine equilibrium angle of tilt ( θ ) , measured from the horizontal. θ = tan − 1 ( 4 2 z ¯ ) = tan − 1 ( 2 z ¯ ) (II) Conclusion: Refer to Figure (1) and use spreadsheet to calculate the value of x ˜ A , y ˜ A , and z ˜ A for the two segments as shown in Table (1). Segment W ( lb ) z ˜ ( ft ) z ˜ W ( lb ⋅ ft ) 1 15 3 45 2 4 ( 2 ) = 8 1

Engineering Mechanics: Statics and Modified Mastering Engineering with eText and Access Card (14th Edition)

14th Edition

ISBN: 9780134229287

Author: Russell C. Hibbeler

Publisher: PEARSON

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Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related t…

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Chapter 9.2, Problem 78P

To determine

The center of gravity at a height from the floor, (z¯) .

The equilibrium angle of tilt (θ) , measured from the horizontal.

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Chapter 9.2, Problem 77P

Chapter 9.2, Problem 79P

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Chapter 9 Solutions

Engineering Mechanics: Statics and Modified Mastering Engineering with eText and Access Card (14th Edition)

Ch. 9.1 - In each case, use the element shown and specify...Ch. 9.1 - Determine the centroid (x,y) of the shaded area....Ch. 9.1 - Determine the centroid (x,y) of the shaded area....Ch. 9.1 - Determine the centroid of the shaded area. Prob....Ch. 9.1 - Locate the center of mass x of the straight rod if...Ch. 9.1 - Locate the centroid of the homogeneous solid...Ch. 9.1 - Locate the centroid z of the homogeneous solid...Ch. 9.1 - Locate the center of mass of the homogeneous rod...Ch. 9.1 - Determine the location (x,y) of the centroid of...Ch. 9.1 - If the rod has a weight per unit length of 100...

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The center of gravity at a height from the floor, ( z ¯ ) . The equilibrium angle of tilt ( θ ) , measured from the horizontal.

Solution Summary: The author illustrates how to determine the center of gravity of a sheet metal part along z axis using the relation.

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The center of gravity at a height from the floor, (z¯) .

The equilibrium angle of tilt (θ) , measured from the horizontal.

Want to see the full answer?

Chapter 9 Solutions

The center of gravity at a height from the floor, ( z ¯ ) . The equilibrium angle of tilt ( θ ) , measured from the horizontal.

Solution Summary: The author illustrates how to determine the center of gravity of a sheet metal part along z axis using the relation.

Concept explainers

Videos

The center of gravity at a height from the floor, (z¯) . The equilibrium angle of tilt (θ) , measured from the horizontal.

Want to see the full answer?

Chapter 9 Solutions

The center of gravity at a height from the floor, (z¯) .

The equilibrium angle of tilt (θ) , measured from the horizontal.