A block with a mass of m = 8.0 kg free to slide on a horizontal surface is ancho

Question

A block with a mass of m = 8.0 kg free to slide on a horizontal surface is anchored to two facing walls by springs (Figure 1) . Both springs are initially at their relaxed length and have spring constants ofk1 = 200 N/m and k2 = 350 N/m . Then the block is displaced 20 mm to the right and released.

What is the effective spring constant of the system?

Determine the value of A in the equation for the position of the block.

Determine the value of ? in the equation for the position of the block.

Determine the value of ?i in the equation for the position of the block. Suppose that ??<?i??.

Explanation / Answer

Keff = K1 + k2 = 550 N/m

A = 20 mm

w = sqrt(Keff/m) = sqrt(550/8) = 8.3 rad/s

x = A*cos(wt+phi)

at t= 0

x = 20 mm

phi = 0

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