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Abutcher thrown a cut of beef on spring scales which oscillates about the equilibrium position with a period of T = 0.500 second . The amplitude of the vibration is A= 2.00 centimetre and path length =4.00 Centimetre Find a frequency and maximum acceleration and maximum velocity
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Sagot :

snehashish65

a. 2s

b.25.1 cm/s

c.158 cm/s²

What is oscillation?

Simple Harmonic Motion or SHM is defined as a motion in which the restoring force is directly proportional to the displacement of the body from its mean position.

The direction of this restoring force is always towards the mean position.

a. Frequency = [tex]\frac{1}{T}[/tex]

f = [tex]\frac{1}{0.500s}[/tex] = 2s

The frequency is 2s.

b. The velocity will be maximum when A sin (ω t) is equal to– A;

so

V = - ω A sin (ωt)

[tex]V_{max }[/tex]= ω A

= 4.00π x 2.00

= 8.00πcm/s

= 25.1 cm/s

The maximum velocity is 25.1 cm/s.

c. Acceleration is  given by

a = -ω²x

When the displacement is 1.00 cm,

a = -(4.00π)² x 1.00

= -16.0π²

= 158 cm/s²

The maximum acceleration is 158 cm/s²

Learn more about acceleration here:

https://brainly.com/question/12550364

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