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A spring with a spring constant of 1600N/M is mounted on a horizontal table as shown in the figure. A mass of 4kg is attached to the free end of the spring. The mass is then pulled sideways to a distance of 6cm and then released. Determine the frequency of oscillations, maximum acceleration of the mass, and maximum speed of the mass. 

Option: 1

3.19s-1 ,  24.0798M/S2  , 1.201992M/S


Option: 2

NONE


Option: 3

1.201992M/S ,  24.0798M/S2 ,3.19s-1


Option: 4

3.19s-1 , 24.0798M/S2 , 1.201992M/S


Answers (1)

best_answer

Heere, K=1600N/M , M=4kg , A=6cm=0.06m.

Frequency of oscillation is given by ,

v=\frac{1}{2\pi}\sqrt{\frac{K}{M}}=\frac{1}{2\pi}\sqrt{\frac{1600}{4}}=3.19S^{-1}

The maximum acceleration is 

a_{max}=w^{2}A=4\pi^{2}v^{2}A=4\times(3.14)^{2}\times(3.19)^{2}\times0.06=24.0798M/S^{2}

Maximum speed is v_{max}=Aw=0.06\times2\pi v\\=0.06\times2\times3.14\times3.19\\ =1.201992M/S

 

 

Posted by

seema garhwal

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