Laws of MotionHard

Question

In the pulley system show in figure the movable pulleys, A, B , and C are of mass 1 kg each. D and E are fixed pulleys. The strings are light and inextensible. Choose the correct alternative (s). All pulleys are frictionless.

Options

A.tension in the string is 6.5 N
B.acceleration of pulley A is g/3 downward
C.acceleration of pulley B is  g/6 upward
D.acceleration of pulley C is  g/3 upward

Solution

Acceleration tension in string be T

Here (T) aA + (T)aB + (2T) aC = 0 ⇒ aA + aB + aC = 0
mAg  - T = mAaA, mBg - T = mBaB, mCg - 2T = mCaC
⇒ T = 6.5 N, aA = , aB = aC = -

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