1.

A disc of mass m is attached to a spring of stiffness k as shown in the figure. The disc rolls without slipping on a horizontal surface. The natural frequency of vibration of the system is

A. \(\frac{1}{{2\pi }}\sqrt {\frac{k}{m}}\)
B. \(\frac{1}{{2\pi }}\sqrt {\frac{{2k}}{m}}\)
C. \(\frac{1}{{2\pi }}\sqrt {\frac{{2k}}{{3m}}}\)
D. \(\frac{1}{{2\pi }}\sqrt {\frac{{3k}}{{2m}}} \)
Answer» D. \(\frac{1}{{2\pi }}\sqrt {\frac{{3k}}{{2m}}} \)


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