Ex 1.21 The dumbbell

Consider two massive particles in the plane constrained by a massless rigid rod to remain a distance l apart, as in figure 1.5.

a. Write Newton’s equations for the balance of forces for the four rectangular coordinates of the two particles, given that the scalar tension in the rod is F.



\displaystyle{m_0 \ddot y_0 = F \sin \theta}

\displaystyle{m_0 \ddot x_0 = F \cos \theta}

\displaystyle{m_1 \ddot y_1 = - F \sin \theta}

\displaystyle{m_1 \ddot x_1 = - F \cos \theta}


— Me@2021-04-04 03:51:05 PM



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