The block of mass 50 kg is being dragged on a smooth horizontal
surface by means of a truck with the help of a cable passing over a pulley as shown. Initially the block is at rest and it make an angle 30°, find the velocity of the block when 60°:
(a) 3 m/s
(c) 10 m/s
(b) 5 m/s
(d) 7 m/s
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Answer:
By balancing forces on block B
Tension in the string (T)=mg=10x10=100N
Friction force on block A = μmg=0.5x10x10=50N
Net force on block A = T - friction force on block A
=100−50=50N
Acceleration of A =
m
Net force on blockA
=
10
50
= 5 m/s 2
The system will move with 5 m/s
2
of acceleration.
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Explanation:
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