Question
A train is moving along a horizontal track. A pendulum suspended from the roof makes an angle of 40 with the vertical. The acceleration of the train is-ms2(g=10ms2)
- 0.6
- 0.7
- 0.5
- 0.2
The correct answer is: 0.7
Related Questions to study
Three blocks A,B, and C of equal mass m are placed one over the other, one on a smooth horizontal ground as shown in figure. Coefficient of friction between any two blocks of A,B and C is 0.5 What would he the maximum value of mass of block so that the blocks A,B and C move without slipping over each other
![](data:image/png;base64,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)
Three blocks A,B, and C of equal mass m are placed one over the other, one on a smooth horizontal ground as shown in figure. Coefficient of friction between any two blocks of A,B and C is 0.5 What would he the maximum value of mass of block so that the blocks A,B and C move without slipping over each other
![](data:image/png;base64,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)
A body of mass m rests on horizontal surface. The coefficient of friction between the body and the surface is if the body is pulled by a force P as shown in figure the limiting function between body and surface will be……..
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)
A body of mass m rests on horizontal surface. The coefficient of friction between the body and the surface is if the body is pulled by a force P as shown in figure the limiting function between body and surface will be……..
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)
A block of mass 300 kg is set into motion on a frictionless horizontal surface with the help of frictionless pulley and a rope system as shown in figure. What horizontal force F should be applied to produce in the block an acceleration of 1 ms-1
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)
A block of mass 300 kg is set into motion on a frictionless horizontal surface with the help of frictionless pulley and a rope system as shown in figure. What horizontal force F should be applied to produce in the block an acceleration of 1 ms-1
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)
If
is a polynomial function such that ![f space left parenthesis x right parenthesis f space open parentheses 1 over x close parentheses equals f left parenthesis x right parenthesis plus f space open parentheses 1 over x close parentheses text and end text f space left parenthesis 3 right parenthesis equals negative 80 text then end text f left parenthesis x right parenthesis minus f space open parentheses 1 over x close parentheses equals](data:image/png;base64,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)
If
is a polynomial function such that ![f space left parenthesis x right parenthesis f space open parentheses 1 over x close parentheses equals f left parenthesis x right parenthesis plus f space open parentheses 1 over x close parentheses text and end text f space left parenthesis 3 right parenthesis equals negative 80 text then end text f left parenthesis x right parenthesis minus f space open parentheses 1 over x close parentheses equals](data:image/png;base64,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)
A body of mass. 5 kg starts motion form the origin with an initial velocity
If a constant force
acts an the body, than the time in which the Y-component of the velocity becomes zero is……
A body of mass. 5 kg starts motion form the origin with an initial velocity
If a constant force
acts an the body, than the time in which the Y-component of the velocity becomes zero is……
An L -shaped tube with a small office is held in a water stream as shown in fig. The upper end of the tube is? 10.6cm above the surface of water. What will be the. height of the set of water coming from the office velocity of water stream is 2.45 m/s2
![](data:image/png;base64,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)
An L -shaped tube with a small office is held in a water stream as shown in fig. The upper end of the tube is? 10.6cm above the surface of water. What will be the. height of the set of water coming from the office velocity of water stream is 2.45 m/s2
![](data:image/png;base64,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)
Same forces act an two bodies of different mass 2 kg and 5 kg initially at rest. The ratio of times. required to acquire same final velocity is…..
Same forces act an two bodies of different mass 2 kg and 5 kg initially at rest. The ratio of times. required to acquire same final velocity is…..
An object of mass 3 kg is moving with a velocity of 5 m/s along a stright path. If a force of 12 N is applied for 3 sec on the object in a perpendicular to its direction of motion. The magnitude of velocity of the particle at the end of 3 sec is……..m/s.
An object of mass 3 kg is moving with a velocity of 5 m/s along a stright path. If a force of 12 N is applied for 3 sec on the object in a perpendicular to its direction of motion. The magnitude of velocity of the particle at the end of 3 sec is……..m/s.
A rope which can withstand a maximum tension of 400 N hangs from a tree. If a monkey of mass 30 kg climbs on the rope in which of the following cases-will the rope break? (take g=10 ms2 and neglect the mass of rope)
A rope which can withstand a maximum tension of 400 N hangs from a tree. If a monkey of mass 30 kg climbs on the rope in which of the following cases-will the rope break? (take g=10 ms2 and neglect the mass of rope)
Let ![g left parenthesis x right parenthesis equals 1 plus x minus left square bracket x right square bracket text and end text f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left left columnspacing 1em end attributes row cell negative 1 comma text if end text x less than 0 end cell row cell 0 text if end text x equals 0 text then end text fraction numerator f left parenthesis g left parenthesis 2009 right parenthesis right parenthesis over denominator g left parenthesis f left parenthesis 2009 right parenthesis right parenthesis end fraction equals end cell row cell 1 comma text if end text x greater than 0 end cell end table close](data:image/png;base64,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)
Let ![g left parenthesis x right parenthesis equals 1 plus x minus left square bracket x right square bracket text and end text f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left left columnspacing 1em end attributes row cell negative 1 comma text if end text x less than 0 end cell row cell 0 text if end text x equals 0 text then end text fraction numerator f left parenthesis g left parenthesis 2009 right parenthesis right parenthesis over denominator g left parenthesis f left parenthesis 2009 right parenthesis right parenthesis end fraction equals end cell row cell 1 comma text if end text x greater than 0 end cell end table close](data:image/png;base64,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)
A thin liquid film formed between a u-shaped wire and a light slider supports a weight of
(see figure). The length of the slider is 30 cm and its weight negligible. The surface tension of the liquid film is.
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)
Surface tension is the phenomenon of a liquid's surface when it comes into contact with another phase. The least amount of surface area is typically acquired by liquids. As a result, the liquid's surface exhibits an elastic sheet-like behavior.
¶The forces of attraction between the particles of liquid and the forces of attraction of solids, liquids, or gases in contact with it affect surface tension. The energy or work requires to remove the molecules of the surface layer in a unit area is roughly equivalent to the energy responsible for the phenomenon of surface tension.
A thin liquid film formed between a u-shaped wire and a light slider supports a weight of
(see figure). The length of the slider is 30 cm and its weight negligible. The surface tension of the liquid film is.
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)
Surface tension is the phenomenon of a liquid's surface when it comes into contact with another phase. The least amount of surface area is typically acquired by liquids. As a result, the liquid's surface exhibits an elastic sheet-like behavior.
¶The forces of attraction between the particles of liquid and the forces of attraction of solids, liquids, or gases in contact with it affect surface tension. The energy or work requires to remove the molecules of the surface layer in a unit area is roughly equivalent to the energy responsible for the phenomenon of surface tension.