The smooth block B, having a mass of 2 kg, is attached to the vertex A of the right circular cone using a light cord. The cone is rotating at a constat angular rate about the z- axis such that the block attains a speed of 5 m/s. At this speed, determine the tension in the cord and the reaction which the cone exerts on the block. Neglect the size of the block.

1) 1015.7 N and -1321.5 N
2) 1000.5 N and -1256.4 N
3) 1040.6 N and -3420 N
4) 3020 N and -2136.5 N

From the property of similar triangles
r_B/50 = 75/125 and r_B = 30 mm = 0.03 m
Also summing up the forces in the y- direction
S F_y = ma_y   
T - 2(9.81)(4/5) = 2(5²/0.03)(3/5)
So, the tension T in the cord is 1015.69 N
S F_x = ma_x
N_B - 2(9.81)(3/5) = -2(5²/0.03)(4/5)
So, the reaction of the cone N_B = -1321.55 N

So, the tension in the cord and the normal reaction which the cone exerts on the block are 1015.7 N and -1321.5 N respectively.