The cylinder is displaced 0.17 m downward from its equilibrium position and is released at time t = 0. Determine the displacement y and the velocity v when t = 3.1 s. The displacement and velocity are positive if downward, negative if upward. What is the magnitude of the maximum acceleration?

Complete Question

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a

b

c

Explanation:

From the question we are told that

      The maximum  displacement is  A =  0.17  m  

      The  time considered is  

     The spring constant is  

      The mass is  

Generally given that the motion which the cylinder is undergoing is a simple harmonic motion , then the displacement is mathematically represented as

Where is the angular frequency which is mathematically evaluated as

substituting values

So the displacement is at  t

Generally the velocity of a  SHM(simple harmonic motion) is mathematically represented as

substituting values

Generally the maximum acceleration is  mathematically represented as

substituting values

substituting values

i had this question and the answer was 3.15 miles.

martina travels from school to her mom's office. from there, she walks to school. after school, she walks to the library and then to a friends house before finally ending back at home. find martina's total distance traveled.

a) 0 miles  

b) 0.4 miles  

c) 1 mile  

d) 3.15 miles