A smooth inclined plane of angle of inclination 30^(@) is placed on the floor of a compartment of a train moving with a constant acceleration a. When a block is placed on the inclined plane, it does not slide down or up the plane. The acceleration a must be

A smooth inclined plane of angle of inclination 30^(@) is placed on th

1.	A smooth inclined plane of angle of inclination 30^(@) is placed on the floor of a compartment of a train moving with a constant acceleration a. When a block is placed on the inclined plane, it does not slide down or up the plane. The acceleration a must be
Answer» g `(g)/(2)` `(g)/sqrt(2)` `(g)/sqrt(3)` Solution :When the train is ACCELERATING in forward direction then reaction of this acceleration on block is in the backward direction Then resolving `VECG` and `veca` into components The block will stay at rest when a `COS theta = g sintheta` `a=g tan theta` `since theta = 30^(@) :. a=(g)/(sqrt3)` Hence correct choice is (d)

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A smooth inclined plane of angle of inclination 30^(@) is placed on the floor of a compartment of a train moving with a constant acceleration a. When a block is placed on the inclined plane, it does not slide down or up the plane. The acceleration a must be

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