A horizontal rod $($length d$=0\mathrm{.}52$ m and mass m$=1\mathrm{.}16$ kg$)$ is supported by a frictionless hinge at a point located at d$/4$ measured from the left end of the rod. The downward vertical gravitational acceleration is a constant g$=9\mathrm{.}81$ m$/$s$^2.$ Perpendicular to the plane of the image and directed downward with respect to the plane, there is a homogeneous constant magnetic field B$=1\mathrm{.}26$ T$.$ At the left end of the rod, there is a heavy mass $($particle$)$ M$=2\mathrm{.}4$ kg$.$ A constant current I is allowed to flow through the rod $($via massless thin wires$)$ to maintain the structure in equilibrium.a$)$ Calculate the magnitude of the balancing current.I$=$b$)$ In which direction does the current I flow?$1)$ To the right$2)$ To the left

  

M d/4- B