Question
If the acceleration of the elevator
, then
![](data:image/png;base64,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)
- the acceleration of the masses will be
![a subscript 0](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAAOCAYAAAAi2ky3AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAJufgqOgAAAMdJREFUeNpjYEAAJiBuBOKXQPwLiC8AsTwDGWALEE8CYkGooauAOIBUQyKhGpHBQiD2ItWg/UBsiSZ2kByvfYN6Bzm8vpATPq/R+NZAfA6HWh8gvgHFPuiST4GYA4lfC8RrsBhiCfWyMBRjBEkzEM+EegkULkuBeBsWgzYAsT0S3xaIN6ErqobGXC3UdS+xRP8nLGH5iVC4iWIR+49F7Bc5kYLuIhZiXMRARBjZQ3MEycASGlOCUK8fJCf1I6ejW0D8DojzYIIAK78njVbvOqkAAABgdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1zdWI+PG1pPmE8L21pPjxtbj4wPC9tbj48L21zdWI+PC9tYXRoPoxOyQwAAAAASUVORK5CYII=)
- the acceleration of the masses will be
![left parenthesis a subscript 0 – g right parenthesis](data:image/png;base64,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)
- the tension in the string will be
![fraction numerator mM over denominator straight M plus straight m end fraction open parentheses straight g minus straight a subscript 0 close parentheses](data:image/png;base64,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)
- tension in the string will be zero
The correct answer is: tension in the string will be zero
Related Questions to study
Which of the following options is correct for the object having a straight line motion represented by the following graph?
![](data:image/png;base64,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)
Which of the following options is correct for the object having a straight line motion represented by the following graph?
![](data:image/png;base64,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)
The principal value of
where
is
The principal value of
where
is
In the arrangement shown in figure all surfaces are smooth. Select the correct alternative(s)
In the arrangement shown in figure all surfaces are smooth. Select the correct alternative(s)
If
then
= - ... -
If
then
= - ... -
In the pulley system shown 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.
In the pulley system shown 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.
The motion of a particle along a straight line is described by equation:
Where
is in metre and
in second. The retardation of the particle when its velocity becomes zero, is
The motion of a particle along a straight line is described by equation:
Where
is in metre and
in second. The retardation of the particle when its velocity becomes zero, is
The velocity-time and acceleration-time graphs of a particle are given as
![](data:image/png;base64,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)
Its position-time graph may be given as
The velocity-time and acceleration-time graphs of a particle are given as
![](data:image/png;base64,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)
Its position-time graph may be given as
A body is moving in a straight line a shown in velocity-time graph. The displacement and distance travelled by in 8s are respectively
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A body is moving in a straight line a shown in velocity-time graph. The displacement and distance travelled by in 8s are respectively
![](data:image/png;base64,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)
In order to raise a mass of 100 kg a man of mass 60 kg fastens a rope to it and passes the rope over a smooth pulley. He climbs the rope with an acceleration 5g/4 relative to rope. The tension in the rope is ![open parentheses straight g equals 10 straight m divided by straight s squared close parentheses](data:image/png;base64,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)
In order to raise a mass of 100 kg a man of mass 60 kg fastens a rope to it and passes the rope over a smooth pulley. He climbs the rope with an acceleration 5g/4 relative to rope. The tension in the rope is ![open parentheses straight g equals 10 straight m divided by straight s squared close parentheses](data:image/png;base64,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)
Two blocks A and B of equal mass m are connected through a massless string and arranged as shown in figure. Friction is absent everywhere. When the system is released from rest
Two blocks A and B of equal mass m are connected through a massless string and arranged as shown in figure. Friction is absent everywhere. When the system is released from rest
The velocity-time graph of a particle in linear motion is shown. Both
and
are in SI units. What is the displacement of the particle from the origin after 8 s?
![](data:image/png;base64,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)
The velocity-time graph of a particle in linear motion is shown. Both
and
are in SI units. What is the displacement of the particle from the origin after 8 s?
![](data:image/png;base64,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)
If
has a real solution then
If
has a real solution then
In the following arrangement the system is initially at rest. The 5 kg block is now released. Assuming the pulleys and string to be massless and smooth, the acceleration of blocks is
In the following arrangement the system is initially at rest. The 5 kg block is now released. Assuming the pulleys and string to be massless and smooth, the acceleration of blocks is