3.34. a)
b)
The components given in the and
directions can be
summed together and the resultant is given by
at an angle of
above the negative
x axis.
Now, to find the radial component of this acceleration vector, we
first need to find the angle that the resultant vector makes with the
string on which the pendulum is swinging. This is given by
subtracting the angle found for our resultant acceleration,
and the angle that the pendulum makes with the vertical,
from
. We then find that this angle is
. Now, to
find the radial component of the acceleration we cn simply use vector
decomposition.
c)
To find the velocity of the ball, we can just use our equations for circular motion.
at
above the x axis. (Tangent to the circle)