Q.

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

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Detailed Solution

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 where geff=g2+(3g)2=2g⇒ T=1.0s
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