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Q1. A 2.30-kg object attached to a spring moves without friction (b = 0) and is driven by an external force given by the expression F = 3.40sin (2pi*t), where F is in newtons and t is in seconds. The force constant of the spring is 35.0 N/m.
(a) Find the resonance angular frequency of the system.
(b) Find the angular frequency of the driven system.
(c) Find the amplitude of the motion.
Q2. At one instant a bicyclist is 36.0 m due east of a park's flagpole, going due south with a speed of 12.0m/s. after that 38.0 s later, the cyclist is 36.0 m due north of the flagpole, going due east with a speed of 11.0 m/s. For the cyclist in the 38.0 s intervals, what are the (a) magnitude and (b) direction of displacement, the (c) magnitude (d) direction of the average velocity and (e) magnitude and (f) direction of the average acceleration?
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