Question

It's the FBD given for an object, then find the value of force required and its angle with positive x-axis such that its net acceleration becomes zero

(a) √2 and angle 45° 

(b) √6 and angle 55° 

(c) √10 and angle 60° 

(d) √15 and angle 30°

Answer 1

(a) √2 and angle 45° 

IN with angle 45 degrees with x-axis

Net force in x- direction = -IN

Net force in y-direction = -IN

∴ Force required to balance = 1 \(\hat{i}\) +1 \(\hat{j}\)

∴  Angle it makes is 45° with x-axis