Go Back   Physics Help Forum > High School and Pre-University Physics Help > Kinematics and Dynamics

Kinematics and Dynamics Kinematics and Dynamics Physics Help Forum

Like Tree1Likes
  • 1 Post By HallsofIvy
Reply
 
LinkBack Thread Tools Display Modes
Old May 31st 2019, 11:22 AM   #1
Junior Member
 
Join Date: May 2019
Posts: 1
Dynamics Of Material Point



i attempted to solve it with energy formulas . but couldn't find a proper solution.
Kekosyus is offline   Reply With Quote
Old Jun 1st 2019, 04:51 AM   #2
Senior Member
 
Join Date: Aug 2010
Posts: 434
I am not sure why you would attempt "to solve it using energy methods" when you are given forces. If there is no driving force them "force= mass times acceleration" gives $m\frac{dv}{dt}= -m(\alpha v+ \beta v^2)$. The "m"s cancel and we can "separate" the variables v and t as $\frac{dv}{\alpha v+ \beta v^2}= dt$. Integrate both sides.

$\int \frac{dv}{\alpha v+ \beta v^2}= \int \frac{dv}{v(\beta v+ \alpha)}$.
Use "partial fractions".

("decreased twice" is a very strange phrase. Going from $v_0$ to $\frac{v_0}{2}$ would be "decreased by half".)
topsquark likes this.
HallsofIvy is offline   Reply With Quote
Reply

  Physics Help Forum > High School and Pre-University Physics Help > Kinematics and Dynamics

Tags
dynamics, material, point



Thread Tools
Display Modes


Similar Physics Forum Discussions
Thread Thread Starter Forum Replies Last Post
Strength of material Mikaeka Physics 10 Jun 12th 2017 04:24 PM
Wavelength in material Tesoro72 Advanced Optics 2 Feb 9th 2011 07:44 PM
dynamics of material point Apprentice123 Kinematics and Dynamics 5 Jul 13th 2009 08:58 AM
Material point Apprentice123 Advanced Mechanics 0 Jun 12th 2009 10:52 AM
acceleration of a material point Apprentice123 Kinematics and Dynamics 1 Jun 11th 2009 05:41 PM


Facebook Twitter Google+ RSS Feed