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

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 vx as a function of time t .

At what times does the mass reach the position x=

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 vx as a function of time t At what times does the mass reach the position x= plusminus A? 2 answers Find the maxi mu m acceleration of the mass. Find the times at which the maxi mu m acceleration occurs. What is the mass m ?

Explanation / Answer

1. velocity is highest at centre and 0 at end positins.

so ,

he mass reach the position x= A at 0.4sec

and he mass reach the position x= - A at 0.8 sec.

2.period = 1.6 sec,

freq = 1/1.6.

and w = 2pi * f,

w = 3.925 ,

max acc = w * max velocity = 3.925*2078.5 cm^2 /s

3.

time of reaching max acc= is 0.4 & 0.8 sec

4.

w = sqrt (k/m)

m =K/W^2

M = 74/3.925^2 = 4.803 kg

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