A mass m = 3.8 kg is at the end of a horizontal spring of spring constant k = 14

Question

A mass m = 3.8 kg is at the end of a horizontal spring of spring constant k = 145 N/m on a frictionless horizontal surface. The block is pulled, stretching the spring a distance A =2.5 cm from equilibrium, and released from rest. Randomized Variables m = 3.8 kg k = 145 N/m A = 2.5 cm art (a) Write an equation for the angular frequency co of the oscillation. Expression : omega = Select from the variables below to write your expression. Note that all variables may not be required, a. p? 7t? 0. a. A, d, g, 1l j ? k m. P, ST t P art (b) Calculate the angular frequency co of the oscillation in rad seconds. Numeric : A numeric value is expected and not an expression. omega = Part (c) Write an equation for the period T of the oscillations. Expression : T= Select from the variables below to write your expression. Note that all variables may not be required, alpha beta x theta a. A, d, g, M t m. P, S t Part (d) Calculate the period T of the oscillations in seconds. Numeric : A numeric value is expected and not an expression. T = Part (e) Write an equation for the maximum speed vmax of the block. Expression : Fmax

Explanation / Answer

A) w = sqrt(k/m)

B) w = sqrt(145/3.8) = 6.177 rad/s

C) period T = 2pi/w = 2*pi*sqrt(m/k)

D) T = 2*3.142*sqrt(3.8/145) = 1.017 s

E) vmax = A*w = A*sqrt(k/m)

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