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Masses of blocks are as shown with M = 2 kg. They are connected through a light string as shown, pulleys are light and smooth. Friction is only between block C and floor. System is released from rest. Find the acceleration of blocks A, B and C and tension in the string.
Column I has certain parameters. Column II given values of those parameter in terms of “xgsinθ”. Match with corresponding value of x.
COLUMN I
COLUMN II
1
Acceleration of block A
P
0.25 gsinθ
2
Acceleration of block C
Q
0.50 gsinθ
3
Acceleration of block B
R
0.75 gsinθ
4
Tension in string
S
1.00 gsinθ

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$1 \to R, 2 \to R, 3 \to R, 4 \to S$

$1 \to Q, 2 \to Q, 3 \to S, 4 \to Q$

$1 \to R, 2 \to R, 3 \to S, 4 \to P$

$1 \to R, 2 \to P, 3 \to Q, 4 \to S$

answer is C.

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Detailed Solution

Net force on block B is Mgsinθ, along the plane
Acceleration on A & C is same.

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