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A spring is placed horizontally on a frictionless table and a mass is attached t

ID: 1910619 • Letter: A

Question

A spring is placed horizontally on a frictionless table and a mass is attached to one end whereas the other end is fixed to the table. After pulling this mass so that the spring is stretched, you release the mass. This causes an oscillatory- motion of the mass. The mass makes 10 oscillations in 20 s (i.e., starting from the right turning point, it comes back there 10 times in 20 s. What is the frequency of this oscillation? Derive an equation of motion that describes this oscillatory motion of the mass. Use k for the spring constant and m for the mass.

Explanation / Answer

a)10 oscillations in 20 seconds...mean....frequency = 10/20 = 0.5 Hz b) x = A sin [2*pi*f*t] where A is the maximum displacement...and f is the frequency...

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