Intro to Simple Harmonic Motion (Horizontal Springs) Video Lessons

Concept

# Problem: A small block is attached to an ideal spring and is moving in SHM on a horizontal, frictionless surface. The amplitude of the motion is 0.300m and the period is 3.39 s.Part A. What is the acceleration of the block when x = 0.160 m? Express your answer with the appropriate units.Part B. What is the speed of the block when x = 0.160 m? Express your answer with the appropriate units

###### FREE Expert Solution

Angular frequency:

$\overline{){\mathbf{\omega }}{\mathbf{=}}\frac{\mathbf{2}\mathbf{\pi }}{\mathbf{T}}}$, where T is period.

Acceleration:

$\overline{){\mathbf{a}}{\mathbf{=}}{\mathbf{-}}{{\mathbf{\omega }}}^{{\mathbf{2}}}{\mathbf{x}}}$

Speed:

$\overline{){\mathbf{v}}{\mathbf{=}}{\mathbf{\omega }}\sqrt{{\mathbf{A}}^{\mathbf{2}}\mathbf{-}{\mathbf{x}}^{\mathbf{2}}}}$

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###### Problem Details

A small block is attached to an ideal spring and is moving in SHM on a horizontal, frictionless surface. The amplitude of the motion is 0.300m and the period is 3.39 s.

Part A. What is the acceleration of the block when x = 0.160 m? Express your answer with the appropriate units.

Part B. What is the speed of the block when x = 0.160 m? Express your answer with the appropriate units