Mass on a Spring: A block of mass M is attached to a spring of spring constant k

Question

Mass on a Spring: A block of mass M is attached to a spring of spring constant k. It moves along a horizontal, frictionless surface, with the spring attached to a wall, as shown in the figure on right. The block is pushed slightly against the wall and then let go. As the block oscillates back and forth, what is the angular frequency, co, of oscillation of the block? Answer in terms of given quantities (M and k) and any physical constants necessary. As the block oscillates back and forth, what is the frequency, /, of oscillation of the block As the block oscillates back and forth, what is the period, T, of oscillation of the block Measuring the oscillation frequency of a mass on a spring is one way to measure mass in outer space in microgravity environment (where neither spring scales nor balances work). A spring of known spring constant, k = 20 N/m, is used to set a block in oscillation. The period of oscillation is measured to be 1 second. What is the mass of the block in kilograms?

Explanation / Answer

1. w=sqrt(k/m)

2. f= w/2pi = (1/2pi) * sqrt(k/m)

3. T= 1/f = 2pi sqrt(m /k)

4. Using above formula = m = 5.6.60 gm

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