FrictionHard

Question

A block on a long table is tied by massless ropes to two hanging blocks as in figure. Initially block C is moving downwards with non zero velocity. The static and kinetic friction between block B & table is 0.3 and 0.1 respectively.

Options

A.Acceleration of block C is approx. 0.4 m/s2 downwards
B.Acceleration of block C is approx. 0.43 m/s2 upwards
C.Block C comes to rest after some time
D.Acceleration of block C is zero, all the time

Solution

Apply Newton′s law for the system
mC g − μK mBg − mAg = (mA + mB + mC) a
a = = − 0.4    ⇒    0.4 (­↑)
Block C will retard and comes to rest after some time

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