the door of an almirah is 6 ft high, 1.5 ft wide and weights 8 kg. The door is supported by two hinges situated at a distance of 1 ft from the ends. If the magnitude of the forces exerted by the hinges on the door are equal find this magnitude.

Answer

C, D

Explanation

According the question
`8g=F_1+F_2`
=N_1=N_2`
Since `R_1=R_2`
Therefore `F_1=F_2`
`rarr 2F_1=8g`
`rarr F_1=40`
Let us take torque about the point B we will get
`N_1xx4=8gx0.75` ltbr `rarr N_1=((50x3))/((4xx4))=15N`
Therefore `sqrt(F_1^2+N_1^2)=R_1`
`=sqrt(40^2+15^2)`
`=42.72=43N`