PHY 101 Chapter Notes -Angular Frequency, Acceleration

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pinkmoose370

2 Dec 2014

School

University at Buffalo

Department

Physics

Course

PHY 101

Professor

Zhang, Ganapathy, Brewer

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Document Summary

13. 2 when the object comes to equilibrium (at distance y0 below the unstretched position of the end of the spring), and the force constant is. , or the total energy is (b) the maximum speed occurs at the equilibrium position where pes = 0. Thus, a = amax at x = xmax = a. 13. 35 the period of a pendulum is the time for one complete oscillation and is given by. , where is the length of the pendulum. (a) (b) the length of the pendulum is. 13. 36 the period in tokyo is and the period in cambridge is. Tt = tc = 2. 000 s, from which, we see that. 13. 31 (a) at t = 3. 50 s, or (b) the angular frequency is and the period of oscillation is. Hence the number of oscillations made in 3. 50 s is. 13. 63 (a) the period of a vibrating object-spring system is. If t = 1. 05 s for mass m2, this mass is.

Related Questions

A system consists of a vertical spring with force constant k = 1190N/m, length L = 1.80 m, and object of mass m = 5.40 kg attached tothe end. The object is placed at the level of the point ofattachment with the spring unstretched, at position yi = L, andthen it is released so that it swings like a pendulum.

(a) Write Newton's second law symbolically for the system as theobject passes through its lowest point. (Note that at the lowestpoint, r = L - yf. Do this on paper. Your instructor may ask you toturn in this work.)

(b) Write the conservation of energy equation symbolically,equating the total mechanical energies at the initial point andlowest point. Do this on paper. Your instructor may ask you to turnin this work.)

(c) Find the coordinate position of the lowest point.
m

(d) Will this pendulum's period be greater or less than the periodof a simple pendulum with the same mass m and length mass L?
longer
shorter

(e) Explain your answer.