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=4tem = 4
A 128 lb weight is attached to a spring that has a spring constant of 64...
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