As shown in figure, two masses of 3.0 kg and 1.0 kg are attached at the two ends of a spring having force constant 300 N/m . The natural frequency of oscillation for the system will be hz.
A
3
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B
1/3
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C
4
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D
1/4
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Solution
The correct option is A 3 The reduced mass of the system is m′=(3)(1)/(3+1)=3/4=0.75 and the force constant is k=300 Thus, frequency f=(1/2π)√(300/0.75)=10/π=3 Hz The correct answer is (a)