- #1
Vandetah
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Homework Statement
A small body is undergoing simple harmonic motion on a frictionless horizontal surface with an amplitude of 0.13m. At a point 0.05 m from equilibrium the velocity is 0.24 m/s. a.) what is the period?
What is the displacement and acceleration when the velocity is ±0.10 m/s
Homework Equations
T = 2∏ √[itex]\frac{l}{g}[/itex]
Displacement = [itex]\frac{a}{\frac{-4∏^{2}}{T^{2}}}[/itex]
acceleration = [itex]\frac{v^{2}}{A}[/itex]
The Attempt at a Solution
T = 2∏ √[itex]\frac{0.05m}{g}[/itex]
T = 0.45 S
Displacement = [itex]\frac{0.08 m/s^{2}}{\frac{-4∏^{2}}{0.45 S^{2}}}[/itex]
= -4.10 x [itex]10^{-4}[/itex] m
acceleration = [itex]\frac{0.10m/s^{2}}{0.13m}[/itex]
= 0.08 m/[itex]s^{2}[/itex]
how is it?