Note: The pendulum bob is released at a height below the height of thepeg. Assum

ID: 1757582 • Letter: N

Question

Note: The pendulum bob is released at a

height below the height of thepeg.

Assume: Use the small angle approximate

(sin =) tocalculate the period.

A pendulum made of a string oflength

11.3 m and a spherical bob of mass2.4kg is

able to swing in a verticalplane. The pen-

dulum is released from anangular position

49 ? from vertical as shown inthe figure be-

low. The string hits a peglocated a distance

4 m below the point ofsuspension and swings

about the peg up to anangle on the other

side of the peg. Then, the bobproceeds to

oscillate back and forth betweenthese two

angular extremities.

The acceleration of gravity is9.8m/s2 .

What is the period of the pendulumplus

peg system as shown above?Answer in units

of s.

During one period, half is a pendulum with length 11.3 m, half is11.3 - 4 = 7.3 m so T = (11.3/g) + (7.3/g) = 6.08 s

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