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Hope you can offer me some help with this question  I feel close to getting it myself but have spent ages looking at it now.
Question and working so far is attached.
I think what I need to do to enable me to perform the integral is to get theta as a function of time, or instead somehow convert the integral so I am integrating with respect to theta (with limits 0 and pi/2 ). But I am stuck at this point.
n.b. Angular velocity omega is written as theta_dot in my notation.
Thanks for any help in advance.
Question and working so far is attached.
I think what I need to do to enable me to perform the integral is to get theta as a function of time, or instead somehow convert the integral so I am integrating with respect to theta (with limits 0 and pi/2 ). But I am stuck at this point.
n.b. Angular velocity omega is written as theta_dot in my notation.
Thanks for any help in advance.
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