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Two massless springs with spring constants 9 N/m and 9 N/m are hung from a horiz

ID: 2029409 • Letter: T

Question

Two massless springs with spring constants 9 N/m and 9 N/m are hung from a horizontal support. A block of mass 2 kg is suspended from the pair of springs, as shown. When the block is in equilibrium, each spring is stretched an additional delta x. Then the block oscillates with an amplitude of 84 m and it passes through its equilibrium point with a speed of 252 m/s. What is the angular velocity of this system? The acceleration of gravity is 9.8 m/s. omega = 11 rad/s omega = 6 rad/s omega = 5 rad/s omega = 12 rad/s omega = 20 rad/s omega = 2 rad/s omega = 3 rad/s omega = 9 rad/s omega = 15 rad/s omega = 18 rad/s

Explanation / Answer

did you mean angular frequency?
if so:
w = (k/m)

in this case, two springs in parallel: knew = k1 + k2 = 9 + 9 = 18

m = 2

w = (18/2) = 9 = 3

7. is correct

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