David Sang and Graham Jones Solutions for Chapter: Oscillations, Exercise 9: Questions

The vibration of a component in a machine is represented by the equation: $x=3.0\times {10}^{-4}\sin \left(240\pi t\right)$. Where, the displacement $x$ is in metres. Determine the: Amplitude

The vibration of a component in a machine is represented by the equation: 

$x=3.0\times {10}^{-4}\sin \left(240\pi t\right)$. 

Where, the displacement $x$ is in metres. Determine the frequency

The vibration of a component in a machine is represented by the equation:

 $x=3.0\times {10}^{-4}\sin \left(240\pi t\right)$. 

Where, the displacement $x$ is in metres. Determine the $c$ Period of the vibration.

A trolley is at rest, tethered between two springs. It is pulled $0.15 \mathrm{m}$ to one side and, when time $t=0$, it is released so that it oscillates back and forth with S.H.M. The period of its motion is $2.0 \mathrm{s}$. Write an equation for its displacement $x$ at any time $t$ (assume that the motion is not damped by frictional forces).

A trolley is at rest, tethered between two springs. It is pulled $0.15 \mathrm{m}$ to one side and, when time $t=0$, it is released so that it oscillates back and forth with s.h.m. The period of its motion is $2.0 \mathrm{s}$.

Sketch a displacement-time graph to show two cycles of the motion, giving values where appropriate.