A simple pendulum 50 cm long is suspended from the roof of a cart accelerating in the horizontal direction with constant acceleration 3 g m/s2. The period of small oscillations of the pendulum about its equilibrium position is (g = π2m/s2):

With respect to the cart, equilibrium position of the pendulum is shown.If displaced by small angle θ from this position, then it will execute SHM about this equilibrium position, time period of which is given by:T = 2πLgeff; geff = g2+(3g)2⇒geff = 2g   ⇒ T =1.0 second