A Pendulum of Length $l$ Hangs from the Ceiling $g$ Represent the Gravitational Acceleration

Multiple Choice

A pendulum of length $l$ hangs from the ceiling. Let $g$ represent the gravitational acceleration. The correct linearized differential equation for the angle, $\theta$ , that the swinging pendulum makes with the vertical is

A) $\frac { d \theta } { d t } + g \theta / l = 0$
B) $\frac { d ^ { 2 } \theta } { d t ^ { 2 } } + g \theta / l = 0$
C) $\frac { d \theta } { d t } + l \theta / g = 0$
D) $\frac { d ^ { 2 } \theta } { d t ^ { 2 } } + l \theta / g = 0$
E) $\frac { d ^ { 2 } \theta } { d t ^ { 2 } } - g \theta / l = 0$