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Rahulrj
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Homework Statement
The directed beam from a small but powerful searchlight placed on the ground tracks a small plane flying horizontally at a fixed height h above the ground with a uniform velocity v. If the search light starts rotating with an instantaneous angular velocity ##\omega_0## at time ##t=0## when the plane was directly overhead, then at a later time t, its instantaneous angular velocity ##\omega(t)## is given by?
Homework Equations
##\omega## = ##\omega_0##+##\alpha t##
##\omega^2## = ##\omega_0^2## + 2##\alpha \theta##
##\theta## = ##\omega_0 t##+1/2##\alpha t^2##
The Attempt at a Solution
I am not sure where to begin the solution other than the equations I have written above.
The answer given is ##\frac{\omega_0}{1+\omega_0^2t^2}##. I tried differentiating but I don't seem to get anywhere with it.
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