Practice Centre Of Mass (5.2) - Motion of System of Particles and Rigid Body

Practice: Centre of Mass

Lesson 5.2Motion of System of Particles and Rigid Body

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8 questions

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3 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
What is the Centre of Mass?
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Think about where all the mass 'balances'.
Question 2.
If a uniform object is shaped like a square, where is the Centre of Mass located?
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Consider how a square is evenly distributed in all directions.
3Question 3.
What is the formula for finding the Centre of Mass of two particles?
- X_cm = (m₁x₁ + m₂x₂) / (m₁ + m₂)
- X_cm = (m₁ + m₂) / (x₁ + x₂)
- X_cm = (m₁x₂ – m₂x₁) / (m₁ + m₂)
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Recall the terms m₁ and m₂ as indicators of mass.
4Question 4.
True or False: The Centre of Mass of a uniform object is located at its geometric center.
- True
- False
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Consider a perfect shape like a circle.
Question 5.
Given a triangular object with vertices at (0, 0), (2, 0), and (1, 2), determine its Centre of Mass.
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Use the average of the vertices' coordinates.
Question 6.
A helicopter is flying in a straight line while carrying a payload on one side. Explain how the Centre of Mass affects its flight stability.
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Consider how shifting weight changes the center of balance.

4 more questions in this section. Enroll free to practise them all.