A simple pendulum 50 cm long is suspended from the roof of a cart accelerating horizontally with $a = 3 g$ m/s² (Figure 5.113). The period of small oscillations about the equilibrium position is ( $g = π^{2}$ m/s²):

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g e ff ​ = g 2 + a 2 ​ = 2 g . T = 2 π l /2 g ​ = 2 π 0.5/ ( 2 π 2 ) ​ = 1.0 s.

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