A block of mass $15$ kg executes SHM under the restoring force of a spring. The amplitude and the time period of the motion are $0.1$ m and $3.14$ s respectively. Find the maximum force exerted by the spring on the block.

6 N

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8 N

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10 N

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12 N

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Solution

The correct option is D $6 N$
The maximum force exerted on the block is $k a$ , when the block is at the extreme position, where $k$ is the spring constant.
The angular frequency $ω = \frac{2 π}{T} = 2 s^{- 1}$
The spring constant $k = m ω^{2} = 15 \times 4 = 60 N m^{- 1}$
The maximum force exerted on the block is $k a = 60 \times 0.1 = 6 N$

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A block of mass 15 kg executes SHM under the restoring force of a spring. The amplitude and the time period of the motion are 0.1 m and 3.14 s respectively. Find the maximum force exerted by the spring on the block.

The correct option is D 6NThe maximum force exerted on the block is ka, when the block is at the extreme position, where k is the spring constant.The angular frequency ω=2πT=2s−1The spring constant k=mω2=15×4=60Nm−1 The maximum force exerted on the block is ka=60×0.1=6N

A block of mass $15$ kg executes SHM under the restoring force of a spring. The amplitude and the time period of the motion are $0.1$ m and $3.14$ s respectively. Find the maximum force exerted by the spring on the block.