Question

A pendulum is oscillating on either side of its rest positions. Explain the energy changes that takes place in the oscillating pendulum. How does the mechanical energy remains constant in it. Draw the necessary .............

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Answer 1

Explanation:

at point A and c energies are same as they are extreme positions

at point B energy is different ,it is mean position

Energy at mean position (B)

P.E=0

K.E is max

K.E=1/2mω^2A

where;

m=mass of Bob

ω=angular velocity

A=amplitude

total energy =P.E+K.E

=0+1/2mω^2A

=1/2mω^2A

Energy at extreme positions (A and C)

P.E is max

P.E=1/2mω^2A

K.E=0

total energy =P.E+K.E

=1/2mω^2A+0

=1/2mω^2A

you can see that energy is conserved

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