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Physics - SHM Question with Solution | TestHub

PhysicsSHMOscillations and SHMHard2 min

PhysicsHardnumerical

A 0.5 kg block is joined to a spring of 50 N/m. Another spring of $3 \times 50$ N/m with a massless pan is placed 0.1 m away on the right, both relaxed. The block is pulled 0.2 m to the left from this position and released. Find the period of oscillation, in s.

Answer:

0.55

Solution:

Stage 1: $ω_{1} = 10$ , from $- 0.2$ to $+ 0.1$ and back: $2 \cdot \frac{1}{10} (\frac{π}{2} + sin^{- 1} \frac{1}{2}) = 0.419$ s. Stage 2: $ω_{2} = 200/0.5 = 20$ , equilibrium $0.075$ m, amplitude $9.01$ cm, time $\frac{1}{20} (π - 2 sin^{- 1} \frac{0.025}{A})$ . Total $0.548$ s.

Subject:PhysicsTopic:SHMSubtopic:Oscillations and SHM

⏱ 2m

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