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

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seema garhwal

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