A 4 kg slider which slides on a frictionless horizontal rod is attached to a spring of constant k and is acted upon by a periodic force of P = P m sin ω f t . P m = 9 N and ω f = 5 rad / s . W

Question

A 4 kg slider which slides on a frictionless horizontal rod is attached to a spring of constant k and is acted upon by a periodic force of $P = P_{m} sin ω_{f} t . P_{m} = 9 N$ and $ω_{f} = 5 rad / s$ . What is the value of the spring constant (in $N / m$ ) if the slider has an amplitude of 0.15 m and its motion is out of phase with the applied force?

TestHub · Accepted Answer

​ ω Q = i = ω L − ω 1 ​ C V 0 ​ ​ ​ Q = ω 2 L − C 1 ​ V 0 ​ ​ ​ A = ω f 2 ​ m − k F 0 ​ ​ ​ ω f 2 ​ m − k = A F 0 ​ ​ ​ k = ω f 2 ​ m − A F 0 ​ ​ ​ = 25 × 4 − 0.15 900 ​ = 40 N / m ​

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