When a pendulum swings back and forth through a small arc, its horizontal displacement is given by D= A sin (t square root of 980 divided by L) where D is in cm, L is the length of the pendulum in cm, t is in seconds after passing the lowest point, and A is the maximum width the pendulum swings to the left and right. If the length of a pendulum is 100cm, find the earliest time for wich the deisplacement is maximized. How long is a clock pendulum that has a period of 1 sec. (This is the primary idea behind the classic grandfather clock.) The image depicts a diagram illustrating a simple pendulum in motion. The pendulum is represented as a point mass attached to a string, swinging back and forth. Here's a detailed explanation of the components in the diagram:1. **Pendulum Path**: - The pendulum swings in an arc, shown as a curved, dashed line. - Two positions of the pendulum are highlighted: one at the extreme left and another at the extreme right (both marked with open circles).2. **Pendulum Positions**: - The center position (where the pendulum is vertical below the pivot) is indicated by a dashed line leading down to the rest position on a horizontal axis. This is the equilibrium position. - The leftmost position is marked as `-A` (extreme left) and the rightmost position as `A` (extreme right), indicating the maximum angular displacement on either side.3. **Horizontal Axis**: - A horizontal line represents the baseline or equilibrium level of the pendulum. This line is marked with tick marks to indicate positions.4. **Distance Labels**: - `D` represents the horizontal distance from the equilibrium position to a point on the baseline, labeled between the equilibrium position and one extreme of the swing. This is a measure of how far away the pendulum swings from its central position. - An arrow underneath the axis indicates the total distance of the swing from `-A` to `A`.The diagram is a clear representation of the motion of a pendulum, illustrating the concept of amplitude (`A`) and displacement (`D`) in oscillatory motion.

Name: When a pendulum swings back and forth through a small arc, its horizon
Uploaded: 2024-03-20T06:58:04.000Z
Channel: Bartleby
Description: When a pendulum swings back and forth through a small arc, its horizontal displacement is given by D= A sin (t square root of 980 divided by L) where D is in cm, L is the length of the pendulum in cm, t is in seconds after passing the lowest point, a