A spring is mounted over an air track in such a way that the one end...

A spring is mounted over an air track in such a way that the one end of the spring is fixed and the other is connected to a spring scale. When the spring is stretched to 0.01 m a force of 1 N is registered on the spring scale. The spring is relaxed and a glider of 0.43 kg (resting on the air track) is connected to it. The glider-spring system is then pulled to the right through a distance of 0.01 m. Calculate the following:

(a) The spring constant k. (1 mark)

(b) The period of motion. (1 mark)

(c) The angular frequency. (1 mark)

(d) Calculate the amplitude and phase angle of the spring-glider system, if the initial velocity and position of the glider is 0.3 m/s and 0.72 m, respectively.

(e) Utilize all the information already calculated and set up equations for the displacement, velocity and acceleration as function of time.

Expert Solution

a) k = 100 N/m

b) Period = 0.4121 sec

c) w= 15.2498 rad/sec

d) Amplitude A= 0.7203 m intial phase = -88.3794°

e) Equations are given in image

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genius_generous answered 1 year ago

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