Passage - VI : A uniform rectangular plate of length l and height h has a small triangular wedge like support welded to its right bottom and has a small light rigid wheel fitted to its other bottom edge. There is no friction at the axle of the wheel. This plate is placed with its length horizontal as shown on a rough horizontal plank. If the plank moves with rightward acceleration of a_(0) the plate just begins to slide on the plank. While sliding, the wheel rolls. Since the wheel has negligible inertia, net force required to accelerate its centre of mass and net torque required to impact then angular acceleration can be neglected. The plank and the plate in a new experiment are first given a constant velocity towards right. The plank is then given a constant retardation a. If l is large enough, the maximum value of a for which plate will not slide is

Passage - VI : A uniform rectangular plate of length l and height h ha

1.	Passage - VI : A uniform rectangular plate of length l and height h has a small triangular wedge like support welded to its right bottom and has a small light rigid wheel fitted to its other bottom edge. There is no friction at the axle of the wheel. This plate is placed with its length horizontal as shown on a rough horizontal plank. If the plank moves with rightward acceleration of a_(0) the plate just begins to slide on the plank. While sliding, the wheel rolls. Since the wheel has negligible inertia, net force required to accelerate its centre of mass and net torque required to impact then angular acceleration can be neglected. The plank and the plate in a new experiment are first given a constant velocity towards right. The plank is then given a constant retardation a. If l is large enough, the maximum value of a for which plate will not slide is
Answer» `a_(0)` `(a_(0)GL)/(gl-a_(0)H)` `(a_(0)gl)/(gl-2a_(0)h)` `(gl)/(h)` ANSWER :C