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On the Martian canal, Rimini, none of the gondolas is quite able to support the

ID: 1323680 • Letter: O

Question

On the Martian canal, Rimini, none of the gondolas is quite able to support the weight of both Palo and Francesca, two affectionate and overweight Martians, who refuse to cross the canal in separate gondolas. The enterprising gondolier suspends P and F as shown (weightless pulleys and cords) and ferries them across quickly before they her either the crossbeam or the deck. How much is his load reduced by this arrangement? On mars, g = 3.72 m/sec^2. (You can look up the real and unhappy story of Francesca da Rimini (put to death ca. 1285) ; it figures in poems and plays.)

Explanation / Answer

Here , Let the Tension in the String is T

and their acceleration be a

then , For P

2T - 90*3.72 = 90a     ---------(1)

for F

60*3.72 - T = 60 a ---------(2)

solving 1 and 2

T = 191.3 N

a = 0.531 m/s^2

Now , Load on the gondolas , Lnew 3T


Lmew= 3*191.3

Lnew = 573.9 N

Load reduced = (90 + 60)*3.72 - 573.9

Load reduced = -15.9 N

load is incresed by -15.9 N

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