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A horizontal spring is lying on a frictionless surface. One end of the spring is attaches to a wall while the other end is connected to a movable object. The spring and object are compressed by 0.076 m, released from rest, and subsequently oscillate back and forth with an angular frequency of 17.8 rad/s. What is the speed of the object at the instant when the spring is stretched by 0.045 m relative to its unstrained length?

  • Physics -

    v=dx/dt =Aω cosωt= Aω•sqrt(1-sin²ωt) =
    =ω•sqrt(A² - A² sin²ωt)= ω•sqrt(A² -x²)
    A=0.076 m
    x= 0.045 m
    ω =17.8 rad/s
    v= ω•sqrt(A² -x²)= …

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