Q.

In the figure acceleration of A is 1 m/s2 upwards, acceleration of B is 7 m/s2 upwards and acceleration of C is 2 m/s2 upwards. The acceleration of D will be

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a

7 m/s2 downwards

b

2 m/s2 downwards

c

10 m/s2 downwards

d

8 m/s2 downwards

answer is C.

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Detailed Solution

Acceleration of pulley PaP=aA+aB2=1+72=4m/s2  (upward) Acceleration pulley Q will be 4m/s2 downwards.aQ=aD−aC24=aD−22⇒aD=10m/s2(↓)
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In the figure acceleration of A is 1 m/s2 upwards, acceleration of B is 7 m/s2 upwards and acceleration of C is 2 m/s2 upwards. The acceleration of D will be