A simple pendulum has a length of 0.5 m. At what time is the magnitude of...

A simple pendulum has a length of 0.5 m. At what time is the magnitude of its position is twice

that of its velocity?

Solutions

Expert Solution

equation of position of simple pendulum

y=Asint

Equation of velocity v=Acost

As position is twice as velocity

y=2v

Asint=2Acost

sint=2cost

sint/cost=2

tant=2................(1)

But = Where g=9.8m/s2 and L=length of pendulum=0.5m

= =4.427...............(2)

tant=2x4.427=8.854 (from(1))

t=tan-1(4.427)=77.27=77.27x/180=1.348rad

t=1.348

4.427t=1.348 from (2)

t=1.348/4.427=0.304sec

genius_generous answered 1 year ago

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