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A 128 lb weight is attached to a spring that has a

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Answer #1

a. Acc. to the question, the equation of motion can be written as

F(t) - kx = ma [ a is acc. of the block]

8sin(4t) - 64x = 128a/32 [ weight = mg => 128 = m*32]

8sin(4t) - 64x = 4d^2x/dx^2..........(1)

b. Driving frequency = 4

Natural Frequency = sqroot(64/4) = 4

Hence frequency of system=4x: y: 10 -6 2tem = 4

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