The bob of a simple ideal pendulum after being released from extreme position A at time t = 0, crosses theposition B at time t = 1 s and again at time t = 5 s. The position of bob at time t = 22 s is (Given : D is extremeposition and C is mean position)
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Answer:
Length of pendulum =φ
Maximum angular displacement=θ
0
(as it is released from this angle )
Corresponding maximum linear displacement, i.e.,amplitude=φθ
0
.
As the bob is released from extreme position so the linear displacement at any time x=φθ
0
cos
φ
g
t
Where angular frequency of oscillation is given by, ω=
φ
g
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