A boy throws a ball on a spring scales which oscillates about the equilibrium position with a period of T = 0.5 sec. The amplitude of the vibration is A = 2 cm. Assume the ball does not bounce from the scales’s surface afterwards. Assume the vibration of the scale is expressed mathematically as x(t) = Acos(t + ). Find:

Complete Question

A boy throws a ball on a spring scales which oscillates about the equilibrium position with a period of T = 0.5 sec. The amplitude of the vibration is A = 2 cm. Assume the ball does not bounce from the scales’s surface afterwards. Assume the vibration of the scale is expressed mathematically as x(t) = Acos(t + ). Find:

a) frequency

b) the maximum acceleration

c) the maximum velocity

a

b

c

Explanation:

From the question we are told that

   The period is  

    The  amplitude is  

    The  vibration of the scale is  

Generally the frequency is mathematically represented as

=>  

=>    

The  maximum acceleration is mathematically represented as

=>    

=>  

The  maximum velocity is mathematically represented as  

=>    

=>    

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