Physics-
General
Easy
Question
The force exerted by string on the pulley is ![open parentheses g equals 10 blank m s to the power of negative 2 end exponent close parentheses](data:image/png;base64,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)
![](data:image/png;base64,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)
- 24 N
- 12 N
The correct answer is: ![24 square root of 2 blank N](data:image/png;base64,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)
Related Questions to study
physics-
Three equal weights of mass m each are hanging on a string passing over a fixed pulley as shown in Fig. What are the tensions in the string connecting weights A to B and B to C ?
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)
Three equal weights of mass m each are hanging on a string passing over a fixed pulley as shown in Fig. What are the tensions in the string connecting weights A to B and B to C ?
![](data:image/png;base64,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)
physics-General
physics-
A light straight fixed at one end to a wooden clamp on a ground passes over a fixed pulley and hangs at the other side. It makes an angle 30° with the ground. A boy weighing 60 kg climbs up the rope. The wooden clamp can tolerate up to vertical force 360 N. Find the, maximum acceleration in the upward direction with which the boy can climb safely. The friction of pulley and wooden clamp may be ignored ![open parentheses g equals 10 blank m divided by s to the power of 2 end exponent close parentheses](data:image/png;base64,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)
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)
A light straight fixed at one end to a wooden clamp on a ground passes over a fixed pulley and hangs at the other side. It makes an angle 30° with the ground. A boy weighing 60 kg climbs up the rope. The wooden clamp can tolerate up to vertical force 360 N. Find the, maximum acceleration in the upward direction with which the boy can climb safely. The friction of pulley and wooden clamp may be ignored ![open parentheses g equals 10 blank m divided by s to the power of 2 end exponent close parentheses](data:image/png;base64,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)
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)
physics-General
physics-
Consider the shown arrangement. Assume all surfaces to be smooth. If N represents magnitudes of normal reaction between block and wedge, then acceleration of M along horizontal is equal to
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)
![](data:image/png;base64,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)
Consider the shown arrangement. Assume all surfaces to be smooth. If N represents magnitudes of normal reaction between block and wedge, then acceleration of M along horizontal is equal to
![](data:image/png;base64,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)
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physics-General
physics-
In given figure all surfaces are smooth. The ratio of forces exerted by the wedge on mass 'M' when force ' F' is not applied and when ' F' is applied such that ' M' is at rest with respect to wedge is
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)
In given figure all surfaces are smooth. The ratio of forces exerted by the wedge on mass 'M' when force ' F' is not applied and when ' F' is applied such that ' M' is at rest with respect to wedge is
![](data:image/png;base64,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)
physics-General
physics-
A uniform rod of length 60 cm and mass 6 kg is acted upon by two forces as shown in the diagram. The force exerted by 45 cm part of the rod on 15 cm part of the rod is
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)
A uniform rod of length 60 cm and mass 6 kg is acted upon by two forces as shown in the diagram. The force exerted by 45 cm part of the rod on 15 cm part of the rod is
![](data:image/png;base64,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)
physics-General
physics-
The monkey B shown in figure is holding on to the tail of the monkey A which is climbing up a rope. The masses of the monkeys A and B are 5 kg and 2 kg respectively. If A can tolerate a tension of 30 N in its tail, what force should it apply on the rope in order to carry the monkey B with it ? [Take
].
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)
The monkey B shown in figure is holding on to the tail of the monkey A which is climbing up a rope. The masses of the monkeys A and B are 5 kg and 2 kg respectively. If A can tolerate a tension of 30 N in its tail, what force should it apply on the rope in order to carry the monkey B with it ? [Take
].
![](data:image/png;base64,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)
physics-General
chemistry-
The end product (b) in the following sequence of reactions is ![](data:image/png;base64,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)
The end product (b) in the following sequence of reactions is ![](data:image/png;base64,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)
chemistry-General
chemistry-
Arrange the following compounds in order of increasing dipole moment: Toluene (I),m-dichlorobenzene (II), O-dichlorobenzene (III), p-dichlorobenzene (IV)
Arrange the following compounds in order of increasing dipole moment: Toluene (I),m-dichlorobenzene (II), O-dichlorobenzene (III), p-dichlorobenzene (IV)
chemistry-General
chemistry-
Silver benzoate reacts with bromine to form
Silver benzoate reacts with bromine to form
chemistry-General
chemistry-
The reaction of 4-bromobenzyl chloride with NaCN in ethanol leads to
The reaction of 4-bromobenzyl chloride with NaCN in ethanol leads to
chemistry-General
chemistry-
The starting substance for the preparation of iodoform is any one of the following, except.
The starting substance for the preparation of iodoform is any one of the following, except.
chemistry-General
maths-
If
and
, then‐
If
and
, then‐
maths-General
chemistry-
Cl2 reactwith CS2 in presence of I2 to form
Cl2 reactwith CS2 in presence of I2 to form
chemistry-General
maths-
If the two circles
and
have equal radius then locus of
) is
If the two circles
and
have equal radius then locus of
) is
maths-General
physics-
A particle moves in a straight line obeying the
graph as shown in the figure. The average velocity of the particle over the time T is :
![](data:image/png;base64,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)
A particle moves in a straight line obeying the
graph as shown in the figure. The average velocity of the particle over the time T is :
![](data:image/png;base64,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)
physics-General