A mass-spring system oscillates with an amplitude of $3.5 c m$ . If the force constant of the spring of $250 N / m$ and the mass is $0.5 k g$ , determine the maximum force experience by the mass.

8.75 N

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17.5 N

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35 N

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5 N

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Solution

The correct option is A $8.75 N$
Consider a spring mass system. The force experienced by the mass is due to the spring.

The spring force is given by $F = k x$ where $x$ is the displacement from mean position.

Thus, maximum force is given by $k x_{max} = k A$ , where $A$ is the amplitude of oscillations.

Thus, max. force experienced by the mass is $250 \times 3.5 \times 10^{- 2} = 8.75 N$

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A mass-spring system oscillates with an amplitude of 3.5 cm. If the force constant of the spring of 250 N/m and the mass is 0.5 kg, determine the maximum force experience by the mass.

A mass-spring system oscillates with an amplitude of $3.5 c m$ . If the force constant of the spring of $250 N / m$ and the mass is $0.5 k g$ , determine the maximum force experience by the mass.