The disk with radius of R=2m and mass of m=5kg rotates like a merry-go-round around its central axis with constant speed of 33 rad/s. The bird lands on the disk at 1 m from disk's center then bird and disk rotate together with angular speed of 32rad/s. Determine the mass of bird. [ Treat bird as a particle. I_(diskcom)=1/2mR^2 Select one: a. 1.3 kg b. 0.5 kg c. 0.63 kg d. 0.31 kg e. 1.0 kg

To solve this problem, we can use the conservation of angular momentum.Given information:- Radius of the disk, R = 2 m- Mass of the disk, m = 5 kg- Constant speed of the merry-go-round, ω1 = 33 rad/s- Distance of the bird from the center of the disk, r = 1 m- Angular speed of the bird and disk together, ω2 = 32 rad/sStep 1: Calculate the moment of inertia of the disk. Step 2: Calculate the total angular momentum before the bird lands on the disk. Step 3: Calculate the total angular momentum after the bird lands on the disk. Step 4: Apply the conservation of angular momentum. Therefore, the mass of the bird is approximately 0.31 kg.The correct answer is:d. 0.31 kg