A mass m is attached to a spring of force constant 74.0N/m and allowed to oscill

Question

A mass m is attached to a spring of force constant 74.0N/m and allowed to oscillate. The figure (Figure 1) shows a graph of its velocity v_{x} as a function of time t . http://session.masteringphysics.com/problemAsset/1266253/3/yg.11.39.jpg A) Find the period. B) Find the frequency and the angular frequency of this motion. C) What is the amplitude (in cm)? D) At what times does the mass reach the position x = +/- A? E) Find the maximum acceleration of the mass. F) Find the times at which the maximum acceleration occurs. G) What is the mass m ?

Explanation / Answer

k=74 N/m v=20*cos(pi*t/0.8) x=20*0.8/pi *sin(pi*t/0.8) w=pi/0.8=3.925 rad/s f=w/2*pi=0.625 hz T=1/f=1.6 sec amplitude=20*0.8/pi=5.09 m d)pi*t/0.8=pi/2 t=0.4 sec e)a=A*w^2=5.09*3.925^2=78.41 m/s^2 f)time=0.4 sec g)w=sqrt(k/m) m=74/3.925^2=4.8 kg

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.