A spring having with a spring constant 1200 N m–1 is mounted on a horizontal table as shown in Fig. A mass of 3 kg is attached to the free end of the spring. The mass is then pulled sideways to a distance of 2.0 cm and released. Determine (i) the frequency of oscillations, (ii) maximum acceleration of the mass, and (iii) the maximum speed of the mass.

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Spring constant, k = 1200 N m–1 Mass, m = 3 kg Displacement, A = 2.0 cm = 0.02 cm (i) Frequency of oscillation v, is given by the relation: Where, T is the time period Hence, the frequency of oscillations is 3.18 cycles per second. (ii) Maximum acceleration (a) is given by the relation: a = ω2A Where, ω...
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Spring constant, k = 1200 N m–1 Mass, m = 3 kg Displacement, A = 2.0 cm = 0.02 cm (i) Frequency of oscillation v, is given by the relation: Where, T is the time period Hence, the frequency of oscillations is 3.18 cycles per second. (ii) Maximum acceleration (a) is given by the relation: a = ω2A Where, ω = Angular frequency = A = Maximum displacement Hence, the maximum acceleration of the mass is 8.0 m/s2. (iii) Maximum velocity, vmax = Aω Hence, the maximum velocity of the mass is 0.4 m/s. read less
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