A small sphere with mass m is attached to a massless rodof length L that is pivoted at the top, forming a simple pendulum.The pendulum is pulled to one side so that the rod is at an angle ufrom the vertical, and released from rest. (a) In a diagram, showthe pendulum just after it is released. Draw vectors representing theforces acting on the small sphere and the acceleration of the sphere.Accuracy counts! At this point, what is the linear acceleration of thesphere? (b) Repeat part (a) for the instant when the pendulum rod isat an angle u/2 from the vertical. (c) Repeat part (a) for the instantwhen the pendulum rod is vertical. At this point, what is the linearspeed of the sphere?
A small sphere with mass m is attached to a massless rod
of length L that is pivoted at the top, forming a simple pendulum.
The pendulum is pulled to one side so that the rod is at an angle u
from the vertical, and released from rest. (a) In a diagram, show
the pendulum just after it is released. Draw vectors representing the
forces acting on the small sphere and the acceleration of the sphere.
Accuracy counts! At this point, what is the linear acceleration of the
sphere? (b) Repeat part (a) for the instant when the pendulum rod is
at an angle u/2 from the vertical. (c) Repeat part (a) for the instant
when the pendulum rod is vertical. At this point, what is the linear
speed of the sphere?
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