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Hi everyone, I have a problem of a physics question, I have tried once, but fail

ID: 1883294 • Letter: H

Question

Hi everyone, I have a problem of a physics question, I have tried once, but failed.

This question has two sub-questions.

Below is the question:

1.The position of a particle undergoing simple harmonic motion can be written as

x(t)=Acos(t+)

The amplitude of the particle is A=5.0 cm, angular frequency is 3.85 rad/s and initial phase constant is 0.1 rad. Determine the velocity of the particle at time t=0.35 s. Provide your answer in cm/s. Use three significant figures.

I tried 14.3 cm/s ,but that is wrong.

2.The graph below shows position as a function of time for a mass attached to a spring undergoing simple harmonic motion. Based on the information provided in the picture, determine the initial phase constant of this motion. Provide your answer in radians as a number between (-1.57) and (+1.57). Use 3 significant figures.

Figure:

I tried 0.61 rad, but that is not correct.

I really need help on this, so thanks a lot!

7654321

Explanation / Answer

x(t) = Acos(t+)

x(t) = 5*cos(3.85*t + 0.1)

v(t) = dx/dt

v(t) = d(5*cos(3.85*t + 0.1)) / dt

v(t) = -5*3.85*sin(3.85*t + 0.1)

v(t) = -5*3.85*sin(3.85*0.35 + 0.1)

v(t) = -5*3.85*sin(1.4475)

v(t) = -19.1 cm/s

not sure about second part :(

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