An object that hangs from the ceiling of a stationary elevator by an ideal spring oscillates with a period t. if the elevator accelerates upward with acceleration 2g, what will be the period of oscillation of the object?

Step-by-step explanation:

The period of oscilations in a pendulum is defined as

Where is the length of the string and is gravity.

Notice that the pendulum is oscillating due to gravity in the first place. Then, that acceleration of gravity is affected by the acceleartion of the elevator, which is . We know that acceleration is a vector, which means the net acceleration would be of gravity and of the elevator, which gives us .

Having said that, the perior of oscaillations would be the same

Because, the net acceleartion is also the same but in different direction.

hello from mrbilldoesmath!

answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb