A lift of mass 100 kg starts moving from rests in the
upward direction. Fig. shows the variation if speed
of the lift T T, and T, stand for tension in the rope
form zero to two seconds, two to six seconds, six to
seven seconds respectively then :-
Velocity (m/sec)
6
7 → t(sec)
0 2
(A)T,: T2: Tz:: 1:1:1
(B) T, :T,: Tz::6:5:3
(C)T, :12:12::3:5:6
(D) T, :T,: Tz:: 6:5:6
amitnrw:
Figure
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Answer:
answer is option B (T,: T,: Tz::6:5:3
Step-by-step explanation:
T1 = 0to2
T2= 2 to 6
T3= 6 to 7
equation of motion T = m(g+a)
slope of the respective time interval is 2,0,-4
for T1 =m(g=a)
a= 2m/s^2
= 100(10+2)
= 1200
for T2 = m(g+a)
a = 0m/s^2
= 100(10+0)
= 1000
for T3 = m(g+a)
a= -4m/s^2
= 100(10-4)
= 600
T1:T2:T3 = 1200:1000:600
=12 :10: 6
= 6: 5: 3
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