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Centre of Mass for Composite Bodies | Engineering Mechanics - Civil Engineering (CE) PDF Download
Locate the Center of Mass of a Composite Body
The given composite body can be divided into following four parts having simpler shapes:
cone portion, ρ= 8*10-6 kg/mm3and for hemi-sphere portion, ρ= 4*10-6 kg/mm3
| Segment | m (kg) |  |  |
| 1 | 8 * 10−6 *1/3π* 502* 200 = 4.189 | 50 | 209.440 |
| 2 | 4 × 10−6 *1/3π* 502* 200 = 4.189 | -18.75 | -19.635 |
| 3 | −8 * 10−6 * 1/3π*252 * 100 = −0.524 | 100+25=125 | -65.450 |
| 4 | −8 *10−6 *π* 252 * 200 = −1.571 | 50 | -78.540 |
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FAQs on Centre of Mass for Composite Bodies - Engineering Mechanics - Civil Engineering (CE)
| 1. What is the definition of the center of mass for composite bodies? |  |
Ans. The center of mass for composite bodies is a point that represents the average position of the mass of an object or system of objects. It is the point at which the object or system can be balanced.
| 2. How is the center of mass calculated for composite bodies? | |
Ans. To calculate the center of mass for composite bodies, you need to consider the individual masses and their positions. The center of mass is determined by taking the weighted average of the individual masses' positions, where the weight is given by the mass.
| 3. Can the center of mass for composite bodies be outside the physical boundaries of the object? | |
Ans. Yes, the center of mass for composite bodies can be outside the physical boundaries of the object. This occurs when the individual masses are distributed unevenly and can result in an object being unbalanced.
| 4. How does the center of mass affect the stability of a composite body? | |
Ans. The center of mass plays a crucial role in determining the stability of a composite body. If the center of mass is located within the base of support, the body will be stable. However, if the center of mass is outside the base of support, the body will be unstable and prone to tipping over.
| 5. Is the center of mass the same as the centroid for composite bodies? | |
Ans. No, the center of mass and the centroid are not the same for composite bodies. The centroid represents the geometric center or average position of the shape, while the center of mass takes into account the distribution of mass within the object. In irregularly shaped objects, the center of mass and centroid may not coincide.
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