A 5kg collar is attached to a spring of force constant 500n/m it slides without friction on a horizontal rod the collar is displaced from its equilibrium position by 10.0cm and released calculate the period of oscillation the maximum speed and the maximum acceleration of the collar
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m = 5kg
k = 500 Nm^ -1
A = 10 cm = 0.01 m
T = 2 π √ m/k = 2 x 3.14 √ 5 / 500 = 0.6284 s
v_m = A = A √ k / m = 0.1 √ 500 / 5 = 1 ms^-1
a_max = k / m x A = 500 / 5 x 0. 1 = 10 ms^-2
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