The slender homogeneous rod AB of mass m and length L is free to rotate about a horizontal...

The slender homogeneous rod AB of mass m and length L is free to rotate about a horizontal axle through its mass center G. The axle is supported by a frame of negligible mass which is free to rotate about the vertical CD. Knowing that, initially, θ = θ0, θ= 0, and ϕ =  ϕ0. show that the rod will oscillate about the horizontal axle and determine (a) the range of values of angle θ during this motion, (b) the maximum value of θ.(c) the minimum value   of ϕ