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Q13.9: NCERT Physics - Part 2 OSCILLATIONS 13.9 Solution: A spring having with a spring constant 1200 N m__ is mounted on …

A spring having with a spring constant 1200 N m__ is mounted on a horizontal table as shown in Fig. 13.19. 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.

Step-by-Step Verified Solution

**Answer:** Frequency = 3.18 Hz, maximum acceleration = 8 m/s_, maximum velocity = 0.4 m/s **Step-by-Step Explanation:** Given: k=1200k = 1200 N/m, m=3m = 3 kg, A=0.02A = 0.02 m. Angular frequency:
ω=km=12003=20 rad/s\omega = \sqrt{\frac{k}{m}} = \sqrt{\frac{1200}{3}} = 20 \text{ rad/s}
Frequency:
ν=ω2π=202π=3.18 Hz\nu = \frac{\omega}{2\pi} = \frac{20}{2\pi} = 3.18 \text{ Hz}
Maximum acceleration:
amax=ω2A=(20)2×0.02=8 m/s2a_{max} = \omega^2 A = (20)^2 \times 0.02 = 8 \text{ m/s}^2
Maximum velocity:
vmax=ωA=20×0.02=0.4 m/sv_{max} = \omega A = 20 \times 0.02 = 0.4 \text{ m/s}
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All Questions in this Chapter

Q13.1 Q13.2 Q13.3 Q13.4 Q13.5 Q13.6 Q13.7 Q13.8 Q13.9 Q13.10 Q13.11 Q13.12 Q13.13 Q13.14 Q13.15 Q13.16 Q13.17 Q13.18

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