Results 1 to 3 of 3

Thread: Differentiation Problem

  1. #1
    Junior Member
    Joined
    Sep 2009
    Posts
    32

    Differentiation Problem

    1. If the equation of motion of a particle is given by s = B cos(ωt + δ), the particle is said to undergo simple harmonic motion. Find the velocity.

    Answer: v(t) = -Bwsin(wt + δ)

    2. When is the velocity = 0?

    Can you please show me step-by-step how to find when the velocity = 0? Thanks.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Aug 2009
    From
    Israel
    Posts
    976
    You need to solve $\displaystyle v(t) = -B \omega sin( \omega t + \delta) = 0$ for $\displaystyle t$.

    Since you assume the particle is moving in harmonic motion, having $\displaystyle B=0$ or $\displaystyle \omega = 0$ would contradict that -- so you can safely assume that $\displaystyle B, \omega \neq 0$. Now all you have to solve is $\displaystyle sin( \omega t + \delta) = 0$
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    Joined
    Jun 2009
    From
    United States
    Posts
    680
    Thanks
    19
    Quote Originally Posted by Maziana View Post
    1. If the equation of motion of a particle is given by s = B cos(ωt + δ), the particle is said to undergo simple harmonic motion. Find the velocity.

    Answer: v(t) = -Bwsin(wt + δ)

    2. When is the velocity = 0?

    Can you please show me step-by-step how to find when the velocity = 0? Thanks.
    The velocity is equal to zero when
    $\displaystyle \sin(\omega t+\delta)=0$

    $\displaystyle \omega t +\delta =\sin^{-1}(0)$

    $\displaystyle t=\frac{\sin^{-1}(0) -\delta}{\omega}$
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Differentiation problem
    Posted in the Calculus Forum
    Replies: 4
    Last Post: Mar 30th 2010, 04:28 AM
  2. Differentiation problem!
    Posted in the Calculus Forum
    Replies: 4
    Last Post: Mar 30th 2010, 02:44 AM
  3. differentiation problem
    Posted in the Calculus Forum
    Replies: 3
    Last Post: Jul 5th 2009, 11:47 AM
  4. Differentiation Problem!
    Posted in the Calculus Forum
    Replies: 3
    Last Post: Jun 6th 2009, 09:43 AM
  5. problem with differentiation
    Posted in the Calculus Forum
    Replies: 1
    Last Post: Aug 26th 2007, 09:19 AM

Search tags for this page

Click on a term to search for related topics.

Search Tags


/mathhelpforum @mathhelpforum