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A horizontal block spring oscillator of mass 10 kg on a frictionless table and spring constant k=1000 N/m is pulled 1 m to the right and released:a) Find at t=3 sec: angular frequency, frequency, period, position, velocity, acceleration, and force on blockb) Draw the acceleration function of the block over two periods

Question

A horizontal block spring oscillator of mass 10 kg on a frictionless table and spring constant k=1000 N/m is pulled 1 m to the right and released:

a) Find at t=3 sec: angular frequency, frequency, period, position, velocity, acceleration, and force on block

b) Draw the acceleration function of the block over two periods

check_circleAnswer
Step 1

Let m be the mass of the block, and k be the spring constant of the spring. Assume x to be the motion described by the block as a sinusoidal function as below.

m 10 kg
k =1000 N/m
x(tAsin t
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m 10 kg k =1000 N/m x(tAsin t

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Step 2

Write the expression for the velocity and acceleration of the mass in terms of time.

)x Awcos t
dt
a) A0 sin ot
dt
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)x Awcos t dt a) A0 sin ot dt

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Step 3

At any interval of time, the forces on the block must be in equilibrium.

Write the expression for the equilib...

F =-kx
F ma
-kr ma
mA
-kA sin ot
sin ot
mok
k
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F =-kx F ma -kr ma mA -kA sin ot sin ot mok k

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