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 - Elena, Monday, March 4, 2013 at 5:14pm
v=dx/dt =Aω cosωt= Aω•sqrt(1-sin²ωt) =
=ω•sqrt(A² - A² sin²ωt)= ω•sqrt(A² -x²)
x= 0.045 m
ω =17.8 rad/s
v= ω•sqrt(A² -x²)= …