What Are the Mechanical Advantages and Efficiencies in an Inclined Plane System?

Join the discussion
Registration is free. Start your own thread to ask a follow-up.
1 reply · 3K views
ookt2c
Messages
16
Reaction score
0

Homework Statement



a 1meter board is inclined at 10 degrees with a height of .3 meters. a block with mass of 122.5g is placed at the bottom connected to a string which is connected to a pulley at the top. if a weight of 50g is hung from the pulley and the block moves with constant velocity, what is the ideal and actual mechanical advantage(theoretical), predicted efficiency(theoretical), input force(tension), input work, output work, AMA(experimental), and efficiency(experimental).


Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
Ideal mechanical advantage= output force/input force=122.5g/.05g=2450Actual mechanical advantage= net output force/input force=22.5g/50g=0.45Theoretical efficiency= output work/input work=122.5g*9.8m/s^2*sin10°*.3m/50g*9.8m/s^2=.4176Input force=MA*input force=2450*.05g=122.5gInput work=input force*distance=122.5g*9.8m/s^2*sin10°*.3m=2.7735JOutput work=output force*distance=50g*9.8m/s^2*sin10°*.3m=.7177JAMA(experimental)= output force/input force=122.5g/50g=2.45Efficiency(experimental)= output work/input work=.7177J/2.7735J=.2588