PROBLEM4:A brick with a mass of 3 kg falls from a height of 2 m onto a concrete block with a mass of 28 kg and sticksto it. The concrete block is held in place by four springs, each with a stiffness of 800 N/m. determine:(a) The differential equation of motion(b) The maximum displacement and the time of its occurrence.PROBLEMS:kmm3 kg28 kg}kmm2 m-Fu(t)Figure 4- Figure of problem 4

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Answered: The differential equation of motion The…

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The differential equation of motion The maximum displacement and the time of its occurrence.

Elements Of Electromagnetics

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PROBLEM4:
A brick with a mass of 3 kg falls from a height of 2 m onto a concrete block with a mass of 28 kg and sticks
to it. The concrete block is held in place by four springs, each with a stiffness of 800 N/m. determine:
(a) The differential equation of motion
(b) The maximum displacement and the time of its occurrence.
PROBLEMS:
k
mm
3 kg
28 kg
}k
mm
2 m-
Fu(t)
Figure 4- Figure of problem 4

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Step 1: Calculate the equivalent spring stiffness of four springs in parallel arrangement.

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Step 2: Calculate the velocity of smaller mass m just before impact.

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Step 3: Calculate the velocity of combined mass m+M just after impact using conservation of linear momentum.

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Step 4: Write down the initial condition for combined mass.

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Step 5: Draw the free body diagram of the combined mass at initial equilibrium condition.

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