A cut pendulum context A marble is attached to the end of a rope suspended from the ceiling. The rope is held at an angle ? and then released. When the ball reaches the lowest point of its trajectory, the rope is cut. We are looking for the horizontal distance that the ball will travel. (a) What will be the trajectory followed by the marble when the rope is cut? (choose the number) Information The mass of the ball is known. The initial angle of the chord is known, as is the length of the chord. We know the height of the ball above the ground when the rope is cut. We neglect the diameter of the ball. Modelization (b) Create a model (a unique equation!) for the horizontal distance (in m) traveled by the marble from the point where the string is cut. Then test your model with the following values: Mass of the ball: 120 g Initial angle of the chord theta = 39.5 degrees Rope length L = 59 cm Height h: 1.27m
A cut pendulum
context
A marble is attached to the end of a rope suspended from the ceiling. The rope is held at an angle ? and then released. When the ball reaches the lowest point of its trajectory, the rope is cut. We are looking for the horizontal distance that the ball will travel.
(a) What will be the trajectory followed by the marble when the rope is cut? (choose the number)
Information
The mass of the ball is known.
The initial angle of the chord is known, as is the length of the chord.
We know the height of the ball above the ground when the rope is cut.
We neglect the diameter of the ball.
Modelization
(b) Create a model (a unique equation!) for the horizontal distance (in m) traveled by the marble from the point where the string is cut. Then test your model with the following values:
Mass of the ball: 120 g
Initial angle of the chord theta = 39.5 degrees
Rope length L = 59 cm
Height h: 1.27m
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