10 Questions
What does Eq.(7.11) state?
The centre of mass of a system of particles moves as if all the mass of the system was concentrated at the centre of mass
What does A (= dV / dt ) represent in Eq.(7.9)?
Acceleration of the centre of mass of the system
According to Newton’s second law, what is F1 in terms of m1 and a1?
$F1 = m1a1$
What do we need to know in order to determine the motion of the centre of mass?
Only the external forces acting on the particles
What does Eq.(7.8) differentiate with respect to time?
$dV / dt$
What does Fext represent in Eq.(7.11)?
Sum of all external forces acting on the particles
What is the acceleration of the first particle denoted by in Eq.(7.9)?
$dv1 / dt$
In Eq.(7.10), what does MA represent?
$m1a1 + m2a2 +...+ mnan$
What does Eq.(7.11) state about the motion of the centre of mass?
The sum of all external forces acting on it is equal to zero
What does A represent in Eq.(7.9)?
Sum of all external forces acting on the particles
Learn how to calculate the center of mass for homogeneous bodies using symmetry considerations. The quiz covers determining the center of mass of a thin rod with rectangular or cylindrical cross-sections by considering the geometric center.
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