One end of an elastic string of modulus 20 mg and natural length a is attached to
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Question:
One end of an elastic string of modulus 20 mg and natural length a is attached to a point A on the surface of a smooth plane inclined at an angle of 30° to the horizontal. The other end is attached to a particle P of mass m. Initially P is held at rest at A and then released so that it slides down a line of greatest slope of the plane. By use of conservation of energy, or otherwise, show that the speed v of P when AP = x, (x>a), is given by
v²=(41ax-20a2-20.x²). a
(a) Find the maximum value of v in the subsequent motion.
(b) Find the maximum value of x in the subsequent motion.
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