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Physics Classical Mechanics Problems

johnherald

New member
Jan 10, 2019
3
Hello i have the difficulty in solving this two problems..thank you for your help math help boards :) 5 & 6.png
 

skeeter

Well-known member
MHB Math Helper
Mar 1, 2012
702
1.6

distance up the incline (with kinetic friction present) ...

$\Delta x = \dfrac{v_f^2 - v_0^2}{2a}$

time up the incline ...

$t = \dfrac{v_f-v_0}{a}$

... where $v_f=0$ and $a = -g(\sin{\theta} + \mu \cos{\theta})$


time down the incline ...

$\Delta x = v_0 \cdot t + \dfrac{1}{2}at^2 \implies t = \sqrt{\dfrac{2\Delta x}{a}}$

note $v_0 = 0$, $\Delta x$ is the opposite of that found going up the incline and $a = -g(\sin{\theta} - \mu \cos{\theta})$
 

Rido12

Well-known member
MHB Math Helper
Jul 18, 2013
715
1.5 is related to d'Alembert's principle. We can analyze the dynamics of an accelerating frame of reference (i.e non-inertial) by adding a fictitious force. Since the force in system A is $m*100$, then a fictitious force of $m*10$ must be added to system B so that the dynamics in both systems are equivalent.
 

johnherald

New member
Jan 10, 2019
3
thanks a lot that will help me solving the other problems similar to that two particular question...:)
and i have the difficulty solving some problems specially to the questions without a value.. thank you again for your help..