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Question

Three blocks A,B and C weighing 1,8 and 27 kg respectively are connected as shown in the figure with an inextensible string and are moving on a smooth surface. If T3 is equal to 36 N, then T2 is


A
18 N
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B
9 N
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C
3.375 N
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D
1.25 N
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Solution

The correct option is B 9 N
Block A,B and C are tied with an inextensible string
Acceleration (a) will be same for all

(mA+mB+mC)×a=T3
a=T3(mA+mB+mC)=36 N36 kg=1 m/s2


From FBD of 1 kg body,
mA×a=T1
1×1=T1
T1=1 N


Again, from FBD of 8 kg body, we get
T2T1=mBa
T2=T1+mBa
T2=1+8×1=9 N

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