A block slides down a frictionless incline kept on the floor of a chamber . Find the acceleration of the block relative to the incline when the chamber is carried by a helicopter with upward acceleration a at inclination `theta` with the vertical . Consider the special cases when `theta = 0 ^(@)` and `theta = 90^(@)` . The inclination of the plane is `90^(@) - alpha` to the vertical in the same sense as `theta` .

Answer

`a_("down") = g "sin" alpha + a "sin"(theta + alpha) , a_("down") = g "sin" alpha + a "cos" alpha`