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A spring with a Hooke's law constant of K N/m and an unstretched length of L cm is hung vertically from a support . A

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A spring with a Hooke's law constant of K N/m and an unstretched length of L cm is hung vertically from a support . A block is attached to the Free end of the spring and let go from rest; the lowest point reached by the mass is y cm from the support attachment. use g = 10 m/sIs D K= 32 NIM TLCm L = 22 cm ycm y = 38 cm V Determine the following : 1 . ) the amplitude of vibration 2 . ) the mass of the block 3 . ) the period and counting frequency of vibration 4 . ) the maximum speed of the block while vibrating * The first step for each answer be one of the equations below : 9=10 m/s/s Hooke's Law : F = - KX Period, Frequency : W = 2 TT f = 21 /T Natural frequency of a system : w = Ji The simple pendulum : T = 2 71 9 Vibrational equations of motion: x (t ) = A cos ( wt+ () v ( t ) = - Aw sin ( wt + ( ) alt ) = Awa cos ( wt+ ()

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