Problem #1. (2 pts)
A mechanical accelerometer is used to measure the acceleration of a
rocket test sled, as shown below. The test sled maneuvers above a guide
rail a small distance $\delta$. The accelerometer provides a measurement of the
acceleration $a(t)$ of the sled, since the position $y$ of the mass $M$, with
respect to the accelerometer case, is proportional to the acceleration of the
case (and the sled). The goal is to design an accelerometer with
appropriate dynamic responsiveness. Check the below equation of motion
of the accelerometer. What are (1)~(4)?
Equation of motion: _(1)_ $\frac{d^2y}{dt^2}$+_(2)_$\frac{dy}{dt}$+(3)_$y$=_(4)_$F(t)$
(1):, (2):, (3):, (4):