A string with one end fixed on a rigid wall, passing over a fixed frictionless pulley at a distance of 2 m from the wall, has a point mass of 2 kg attached to it at a distance of 1 m from the wall. A mass
of 0.5 kg is attached to the free end. The system is initially held at rest so that the string is horizontal between wall and pulley and vertical beyond the pulley as shown in Fig. The system is released from the rest from the position as shown
The ratio of velocity of |
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b) |
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A string with one end fixed on a rigid wall, passing over a fixed frictionless pulley at a distance of 2 m from the wall, has a point mass of 2 kg attached to it at a distance of 1 m from the wall. A mass
of 0.5 kg is attached to the free end. The system is initially held at rest so that the string is horizontal between wall and pulley and vertical beyond the pulley as shown in Fig. The system is released from the rest from the position as shown
The ratio of velocity of |
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a) |
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b) |
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c) |
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d) |
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(a)
When strikes the wall, vertically downward component of its displacement from initial position is 1 m and its distance from pulley
is
While its initial distance from the pulley was It means vertically upward displacement of mass
is
Let strike the wall with velocity
Since the string between the two blocks always remains taut, therefore at any instant speed of
is equal to that component of velocity of
which is along the string
. Hence, velocity of
when
strikes the wall is
where
According to law of conservation of energy, loss of potential energy of increase in
of
of
of