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A thin rod AC of mass m has points B and D as fixed points, and rotates with B as the axis of rotation,

A thin rod AC of mass m has points B and D as fixed points, and rotates with B as the axis of rotation, where CD The points are connected by a spring with a spring coefficient of k, an original length of 10, and the rod has an initial angular velocity of wo degrees, as shown in Figure 3 (initially IBC IBD) < (a) What is the total energy of the system 0=0 at the beginning? Please denote it by m, IAC, IBC, IBD, 10, k and w0, and the potential energy is based on the horizontal position of point B. < [Hint: total energy = potential energy + spring potential energy + kinetic energy (linear and rotational kinetic energy)] < (b) If m = 3kg, IAC =0.75m, IBC =0.15m, ICD = 0.36m, 10 = 0.12m, k = 300 Nm/and w0 = 4 rad/s What is the angular velocity wwhen 0 = 90 and 0 = 180? AC C B - BD D 1 BC 0 11/ L

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