(b) We now set the above expression again equal to 64 J (with
θ
being the unknown) but
with zero speed (which gives the condition for the maximum point, or “turning point”
that it reaches). This leads to
max
= 79
°
.
(c) As observed in our solution to part (a), the total mechanical energy is 64 J.
26. (a) We take the reference point for gravitational energy to be at the lowest point of the
swing. Let
be the angle measured from vertical. Then the height
y
of the pendulum
“bob” (the object at the end of the pendulum, which i this problem is the stone) is given
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This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.
 Spring '08
 Any
 Physics, Energy

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