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Question

Three blocks of masses 3kg,0.6kg and 1kg are connected by a string passing over two smooth pulleys attached at the two ends of a frictionless horizontal surface. The acceleration of 3kg mass is :

136412_67e8c8005bad4d8cb6928268b20b3116.png

A
1ms2
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B
4.35ms2
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C
8.43ms2
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D
12.98ms2
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Solution

The correct option is C 4.35ms2
Here,
for 0.6kg block: T1T2=0.6a....(1)
for 1kg block: 1a=T21g...(2)
for 3kg block: 3a=3gT1...(3)
(2)+(3),4a=(T2T1)+2g=0.6a+2g
4.6a=2ga=2(10)4.6=4.35m/s2
Acceleration of 3kg mass is a=4.35m/s2
174618_136412_ans_32b01e32e7694da4a2194c649d8b8756.png

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