A \( 1 \mathrm{~kg} \) block is executing simple harmonic motion of amplitude \( 0 \cdot 1 \math...

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A \( 1 \mathrm{~kg} \) block is executing simple harmonic motion of amplitude \( 0 \cdot 1 \mathrm{~m} \) on a smooth horizontal surface under the restoring force of a spring of spring constant \( 100 \mathrm{~N} \mathrm{~m}{ }^{-1} \). A block of mass \( 3 \mathrm{~kg} \) is gently placed on it at the instant it passes through the mean position. Assuming that the two blocks move together, find the frequency and the amplitude of the motion.
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