Question

b) If the displacement of the particle in a straight line is expressed by the equation $x = 3 \cos \alpha t + 3 \sin \alpha t$, show that it describe a simple harmonic motion with amplitude $\sqrt{3^2 + 3^2}$ and time period $\frac{2\pi}{\alpha}$. \newline [1 Mark for Time period, 1 Mark for SHM and 1 Mark for amplitude] \newline [3 Marks]

Name: b) If the displacement of the particle in a straight line is expressed by the equation x = 3 cosα t + 3 sinα t, show that it describe a simple harmonic motion with amplitude √(3^2 + 3^2) and time period (2π)/(α). [1 Mark for Time period, 1 Mark for SHM and 1 Mark for amplitude] [3 Marks]
Uploaded: 2021-10-11T06:27:39-08:00
Duration: 1 min 21 s
Channel: Supratim Pal
Description: b) If the displacement of the particle in a straight line is expressed by the equation x = 3 cosα t + 3 sinα t, show that it describe a simple harmonic motion with amplitude √(3^2 + 3^2) and time period (2π)/(α). [1 Mark for Time period, 1 Mark for SHM and 1 Mark for amplitude] [3 Marks]

          b) If the displacement of the particle in a straight line is expressed by the equation \(x = 3 \cos \alpha t + 3 \sin \alpha t\), show that it describe a simple harmonic motion with amplitude \(\sqrt{3^2 + 3^2}\) and time period \(\frac{2\pi}{\alpha}\). \newline [1 Mark for Time period, 1 Mark for SHM and 1 Mark for amplitude] \newline [3 Marks]

b) If the displacement of the particle in a straight line is expressed by the equation x = 3 cosα t + 3 sinα t, show that it describe a simple harmonic motion with amplitude √(3^2 + 3^2) and time period (2π)/(α). [1 Mark for Time period, 1 Mark for SHM and 1 Mark for amplitude] [3 Marks]

Added by Mar H.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Supratim Pal

10/11/2021

Step 1

Step 1: The given equation is: $x = 3 cos at + 3 sin at$ Show more…

Show all steps

Thanks for your feedback!

b) If the displacement of the particle in a straight line is expressed by the equation x=3 cos at + 3 sin at, show that it describe a simple harmonic motion with amplitude $\sqrt{3^2 + 3^2}$ and time period $\frac{2\pi}{a}$. [1 Mark for Time period, 1 Mark for SHM and 1Mark for amplitude] [3 Marks]