April 6th, 2019, 06:47 AM  #1 
Member Joined: Feb 2018 From: Iran Posts: 52 Thanks: 3  Pendulum in a lift
The simple pendulum, which is suspended from the ceiling of a lift oscillates with a period T, what is the period of simple pendulum in terms of T while lift is A)ascending with an acceleration which equals g? B) descending with an acceleration which equals g/2? 
April 6th, 2019, 08:23 AM  #2 
Math Team Joined: Jul 2011 From: Texas Posts: 3,016 Thanks: 1600 
When the elevator is at rest or moving with a constant velocity, $T=2\pi \sqrt{\dfrac{L}{g}}$ What do you think will happen to the pendulumâ€™s period of motion in each case? 
April 6th, 2019, 08:43 AM  #3 
Member Joined: Feb 2018 From: Iran Posts: 52 Thanks: 3  
April 6th, 2019, 08:59 AM  #4 
Math Team Joined: Jul 2011 From: Texas Posts: 3,016 Thanks: 1600 
$T_0 = 2\pi \sqrt{\dfrac{L}{g}}$ (a) $T = 2\pi \sqrt{\dfrac{L}{2g}} = \dfrac{T_0}{\sqrt{2}}$ (b) $T = 2\pi \sqrt{\dfrac{2L}{g}} = \sqrt{2} \cdot T_0$ 

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