### A simple harmonic oscillator consists of a block of mass

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Q. A simple harmonic oscillator consists of a block of mass 3.20 kg attached to a spring of spring constant 184 N/m. When t = 4.00 s, the position and velocity of the block are x = +0.129 m and v = +3.415 m/s.

What is the amplitude of the oscillations?

Q. Block 1, of mass = 0.500 , is connected over an ideal (massless and frictionless) pulley to block 2, of mass , as shown. Assume that the blocks accelerate as shown with an acceleration of magnitude = 0.300 and that the coefficient of kinetic friction between block 2 and the plane is = 0.400. Find the mass of block 2, , when = 30.0.

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