A cylinder of radius r= 1m and mass m =5 x `10^3`kg is at rest On the edges of a structure as shown. Distance a is 0.5m and b = `sqrt3/2` m. Reaction force on edges A and B are

Options

A. 24.6 kN, 24.6kN
B. 42.6kN, 42.6kN
C. 42.6kN,24.6kN
D. 52.6kN, 5.6kN

Answer

C

Explanation

`sinalpha=a/r=1/2, alpha = 30^@` and `sinbeta=sqrt3/2//1`

`beta=60^@, F_1=mgcosalpha=42.6kN, F_2=mgcosbeta=24.6kN`.