Center of MassMedium
Question
A uniform rope of linear mass density λ and length l is coiled on a smooth horizontal surface. One end is pulled up with constant velocity v. Then the average power applied by the external agent in pulling the entire rope just off the ground is
Options
A.
B.λlgv
C.
D.
Solution
Fnet = 
(mv)
F−mg =
v + 0
F = mg + v
, (m = vtλ)
= vtλg + v2λ
P = Fv = v2 λgt + λv3
<P> =
= v2λg 
+ λv3 [∵ T = λ/v]
<P> =
+ λv3
(mv)F−mg =
v + 0F = mg + v
, (m = vtλ)= vtλg + v2λ
P = Fv = v2 λgt + λv3
<P> =
= v2λg + λv3 [∵ T = λ/v]<P> =
+ λv3 Create a free account to view solution
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