A block of mass 1 kg is stationary with respect to a conveyor belt that is accelerating with `1 m//s^2` upwards at an angle of 30° as shown in figure. Which of the following statement(s) is/are correct? `(g=10m//s^2)`

Options

A. Force of friction on the block is 6 N upwards
B. Force of friction on the block is 1.5 Nupwards
C. Contact force between the block and the belt is 10.5N
D. Contact force between the block and the belt is `5sqrt3 N`

Answer

A, C

Explanation

form FBD, `" "f -mg sin 30^@=ma, f=(1)(10)(1//2)+(1)(1)=6 N`
`N = mg cos 30^@ =(1)(10)sqrt3/2=5sqrt3 N`
Contact force between block and belt, `F_C=sqrt(N^2+f^2)=sqrt(75+36)=sqrt(111) N ~~ 10.5 N`