bob swings from point A, where the angle \" 30.0., to point B at the determine t

Question

bob swings from point A, where the angle " 30.0., to point B at the determine the change in the gravitational potential energy of the pendulum bob-earth system, for zero gravitational poteential energy? What is i about this location that makes it convenient? Recal that the change in gravitational potential energy may be expressed as the Rinal minus the Initial potential energy. What is the height of the pendulum bob when it is at each location? How can you use the length of the string and the angle to determine the height of the pendahum bob st pH A7 you expectng a negative or postin value for the change in potential energy? J 15m

Explanation / Answer

when at theta = 30 deg

distance from hinged point,

h1 = - L/2 cos30

when at bottom,

h2 = - L/2

change in gravitational PE

deltaPE = m g (h2 - h1)

= m g (L/2) (cos30 - 1)

= 0.400 x 9.81 x(1.5 / 2) ( cos30 - 1)

= - 0.394 J

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