A 2.00 kg mass is attached to a 5.50 m long string. The mass is pulled 30.0 degrees from its lowest point and is then released. Determine the following...
What is the initial height of the pendulum above its lowest point?
To determine the initial height of the pendulum above its lowest point, we can use trigonometry.
Let's define the lowest point of the pendulum as the reference point (height = 0). The mass is then pulled 30.0 degrees from this reference point.
We can use the sine function to find the height above the reference point:
sin(30) = Opposite / Hypotenuse
The hypotenuse is the length of the string, which is 5.50 m. The opposite side is the height we are looking for.
sin(30) = h / 5.50
Cross multiplying, we get:
h = 5.50 * sin(30)
h = 2.75 m
So, the initial height of the pendulum above its lowest point is 2.75 meters.