The time delay between the arrival of the two pulses at the ceiling is 2.33 ms.
<h3>What is center of gravity?</h3>
Any object of mass is attracted towards another by point where whole mass is supposed to be concentrated is called center of gravity.
A 1750 N irregular beam is hanging horizontally by its ends from the ceiling by two vertical wires (A and B), each 1.25 m long and weighing 0.290 N.
The center of gravity of this beam is one-third of the way along the beam from the end where wire A is attached.
Taking moments about one end, to find the tension at other end.
Tb X L = WxL/3
here, W is the weight, L is the length of wire and Tb is the tension at point B.
So, Tb = W/3
and
Tb - Ta = W
here, Ta is the tension in end A.
Substitute the values, we get
Tb = 583.33N and Ta = 1166.66N
Velocity of end A, Va = (1166.66 x1.25 x 9.81/0.290 )^(1/2)
Va = 222 m/s
Velocity of end B, Vb = (583.33 x1.25 x 9.81/0.290 )^(1/2)
Va = 157 m/s
Time delay t is related with the velocities as
t = L/Vb - L/Va
Substitute the values, we get
t= 0.00233 s
t = 2.33 ms
Thus, time delay between the arrival of the two pulses at the ceiling is 2.33 ms.
Learn more about center of gravity.
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