glass elevator

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One day finds little Charlie Bucket and Willy Wonka riding around in their fabulous great glass elevator (on earth). If you've never read the book, the great glass elevator is one that can accelerate in any direction you might wish. (The elevator remains horizontal during the motion.) Attached by massless rope to the ceilling of the elevator is a gigantic gumball.

a. If the gumball has a 4.00-kg mass and the elevator is accelerating at 2.9m/s^2 at 37 degrees, what is the tension in and what angle from the vertical is the gumball's rope? Hint: the angle does not equal 37 degrees?

b. After a while, Willy Wonka brings the elevator to a rest. He then starts the elevator accelerating horizontally. If the rope holding the gumball will snap if its tension exceeds 56N, what is the maximum acceleration of the elevator that allows the gumball to stay attached to the ceiling? Hint: The angle of the rope will not have the same value as in part b. You will need to solve for it as well as the accerleration value.

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