My Math Forum Pendulum in a lift

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 April 6th, 2019, 06:47 AM #1 Member   Joined: Feb 2018 From: Iran Posts: 50 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: 2,949 Thanks: 1555 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? Thanks from topsquark and romsek
April 6th, 2019, 08:43 AM   #3
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Joined: Feb 2018
From: Iran

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Quote:
 Originally Posted by skeeter 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?
this is how I tried to solve it can you check it please?

 April 6th, 2019, 08:59 AM #4 Math Team     Joined: Jul 2011 From: Texas Posts: 2,949 Thanks: 1555 $T_0 = 2\pi \sqrt{\dfrac{L}{g}}$ (a) $T = 2\pi \sqrt{\dfrac{L}{2g}} = \dfrac{T_0}{\sqrt{2}}$ (b) $T = 2\pi \sqrt{\dfrac{2L}{g}} = \sqrt{2} \cdot T_0$ Thanks from topsquark and Elize

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