- #1

- 13

- 0

## Homework Statement

A 425 gram mass is attached to a horizontal spring. The spring is known to have a spring constant of 84.6 N/m. The mass is free to slide along a friction less surface.

a) The mass is then pulled to the side a distance of 5.67 cm and released. Determine the period and amplitude of the resulting oscillations.

b) Determine the magnitude of the maximum velocity of the mass, and state where it reaches that maximum velocity.

## Homework Equations

T=2πsqr(m/k)

ω=sqr(k/m)

KE(block) = PE(spring) =>1/2mv^2 = 1/2kA^2

## The Attempt at a Solution

a) The mass is then pulled to the side a distance of 5.67 cm and released. Determine the period and amplitude of the resulting oscillations.

T=2πsqr(m/k)=2πsqr(0.425/84.6)=0.455s

ω=sqr(84.6/0.425)=14.1rad/s

Now, my question is, can i plot ω as v, in order to find the amplitude? Ain't the angular velocity suppose to reduce over time?

b) Determine the magnitude of the maximum velocity of the mass, and state where it reaches that maximum velocity.

I do not even know how to get started here, can not find any formulas.

Last edited by a moderator: