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  • A spring having with a spring constant 1200 N m^-1 is mounted on a horizontal table as shown in Figure 14.24. A mass of 3 kg is attached to the free end of the spring . (ii) maximum acceleration of the mass,

Q. 14.9 (ii) A spring having a spring constant 1200\; N\; m^{-1} is mounted on a horizontal table as shown in Fig. 14.24. A mass  3\; kg is attached to the free end of the spring. The mass is then pulled sideways to a distance  2.0\; cm  and released.

                

Determine

(ii) maximum acceleration of the mass

Answers (1)

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A body executing S.H.M experiences maximum acceleration at the extreme points

\\a_{max}=\frac{F_{A}}{m}\\ a_{max}=\frac{kA}{m}\\ a_{max}=\frac{1200\times 0.2}{3} \\a_{max}=8ms^{-2}   (FA = Force experienced by body at displacement A from mean position)

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