A weight of 500N is pushed up a platform included at 30% to the horizontal. It the efficiency of the plane is 60%, the effort needed to push the weight up the platform is
A. 300N
B. 417N
C. 833N
D.1677N
Answers
Answered by
1
300newton
I think so
oguntuasedamilola200:
Thanks but could you tell me how you worked it
Answered by
1
Let AC be the length of inclined plane = 10m.
BC be the height through which the load is lifted = 1m.
Load (L) = 500N.
Effort (E) = L•sin(theta) = 500×1/10= 50N
Therefore,
Mechanical Advantage (MA) = L/Lsin(theta)
MA = 500/50 = 10.
Now, Velocity Ratio (VR) = l/h = 10/1 = 10.
Efficiency = MA/VR=1 (or 100%).
Considering real life scenario.
But, E = 100N (from question)
This is due to Friction between the surface of inclined plane and Load.
Thus, we apply extra 50N.
Now,
MA = 500/100 = 5.
VR remains unchanged.
Hence,
Efficiency = MA/VR = 5/10 = 0.5 (or 50%).
Hope you like it !
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