A mass m is attached to a spring of force constant 83.0N/m and allowed to oscill

Question

A mass m is attached to a spring of force constant 83.0N/m and allowed to oscillate. The figure (Figure 1) shows a graph of its velocity vx as a function of time t.

Part A

Find the period.

1.60

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Correct

Part B

Find the frequency and the angular frequency of this motion.

Please enter your answers in the order frequency, angular frequency separated with comma.

0.625,3.93

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Correct

Part C

What is the amplitude (in cm)?

5.09

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Part D

At what times does the mass reach the position x=

A mass m is attached to a spring of force constant 83.0N/m and allowed to oscillate. The figure (Figure 1) shows a graph of its velocity vx as a function of time t.

Part A

Find the period.

T =

1.60

s

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Correct

Part B

Find the frequency and the angular frequency of this motion.

Please enter your answers in the order frequency, angular frequency separated with comma.

f,? =

0.625,3.93

Hz,rad/s

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Correct

Part C

What is the amplitude (in cm)?

A =

5.09

cm

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Correct

Part D

At what times does the mass reach the position x=

Explanation / Answer

D . at end points of motion v=0

=>the times points are 0.4 , 1.2

E . max acceleartion = w*(Vmax)= 3.93*20= 87.6 cm/s^2

F. maximum accelation occurs at at maximum displacement ( hence at v=0)

=> points are t=0.4 , 1.2

G. w= sqrt(k/m)

=>m= k/(w^2)=5.374 kg

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