A block of mass m is sitting on a rotating smooth wedge. The wedge rotates with constant angular velocity ω around the axis shown in figure. Calculate the value of w (in rad/s) such that the block stays at constant height h = 2.5 m.

Question

G1 Physics · Accepted Answer

For the smooth 45° wedge, balance along the surface in the rotating frame requires centrifugal acceleration ω²r=g. From the geometry r=h=2.5 m, so ω=√(10/2.5)=2 rad/s.