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## Homework Statement

I have that a oscillating mass undergoes shm. It is accelerated (forced oscillation) by 1ms^-2, for time pi/2 as it goes through the origin and then accelerated by -1ms^-2 for another time pi/2, then it is at the origin after the second acceleration.

I need to determine an expression for the acceleration for all time.

## Homework Equations

None

## The Attempt at a Solution

i can only think of something along the lines: f(t)= 1 0<t<pi/2

= -1 pi/2<t<pi

= 0 t>pi

but this is wrong as it only considers the acceleration for time 0 to pi. I need it for all time, since the mass will start accelerating (forced) when it travels past the origin to the other direction and continues to oscillate back and forth.