Note: The pendulum bob is released at a height below the height of the peg. Assu

Question

Note: The pendulum bob is released at a
height below the height of the peg.
Assume: Use the small angle approximate
(sin = ) to calculate the period.
A pendulum made of a string of length
10.4 m and a spherical bob of mass 7.6 kg is
able to swing in a vertical plane. The pen-
dulum is released from an angular position
44 from vertical as shown in the figure be-
low. The string hits a peg located a distance
5 m below the point of suspension and swings
about the peg up to an angle on the other
side of the peg. Then, the bob proceeds to
oscillate back and forth between these two
angular extremities.
The acceleration of gravity is 9.8 m/s2 .
9.8 m/s2
7.6 kg
10.4 m
44
5 m
What is the period of the pendulum plus
peg system as shown above?
Answer in units of s

Explanation / Answer

length of string performing SHM= 10.4-5=5.4m

so T=2l/g=4.66s

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