One end of a stretched ideal spring is attached to an airtrack and the other is

Question

One end of a stretched ideal spring is attached to an airtrack and the other is attached to a glider with a mass of 0.360 . The glider is released and allowed to oscillate in SHM A)If the distance of the glider from the fixed end of the spring varies between 1.99 and 1.06 , and the period of the oscillation is 2.15 , find the force constant of the spring. B)Find the maximum speed of the glider. C)Find the magnitude of the maximum acceleration of the glider.

Explanation / Answer

amplitude = (1.99 - 1.06)/2 A = 0.465 T = 2.15s ? = 2p/T = 2p/2.15 = 2.92rad/s => ? = vk/m =>(?^2)(m) = k k = 2.92 ^2 x 0.36 = 8.5264 x 0.36 k = 3.074 N/m maximum velocity = ?A = 2.92 x 0.465 = 1.3578 m/s maximum accelaration = ?^2 A = 2.92^2 x 0.465 = 3.96 m/s2

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