Ex 1.24 Constraint forces, 1.3

Structure and Interpretation of Classical Mechanics

Find the tension in an undriven planar pendulum.

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Tangential component:

$\displaystyle{\begin{aligned} \left(F_{\text{net}}\right)_t &= m a_t \\ - mg \sin \theta &= m l \ddot \theta \\ \end{aligned}}$

Radial component:

$\displaystyle{\begin{aligned} \left(F_{\text{net}}\right)_r &= m a_r \\ F(t) - mg \cos \theta &= m l \dot \theta^2 \\ \end{aligned}}$

— Me@2022-04-10 04:22:27 PM

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