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In the figure shown masses of the blocks A,B and C are 6kg ,2kg and 1 kg respectively.mass of the spring is negligible and it's stiffness is 1000n/m.coefficent of friction between the block A and table is 0.8 initially block C is held such that spring is in relax position.the block is released from rest.Find a) max.dist.moved by block C b) acceleration of each block when elongation of spring is max ?
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In the figure shown masses of the blocks A,B and C are 6kg ,2kg and 1 ...
Given Information:
- Mass of Block A (mA) = 6 kg
- Mass of Block B (mB) = 2 kg
- Mass of Block C (mC) = 1 kg
- Spring Stiffness (k) = 1000 N/m
- Coefficient of Friction (µ) = 0.8
1. Max Distance Moved by Block C:
When Block C is released, it will compress the spring and move until the spring force equals the frictional force acting on Block A.
- **Friction Force (F_f)**:
F_f = µ * mA * g
F_f = 0.8 * 6 kg * 9.81 m/s² = 47.088 N
- **Spring Force at Max Compression (F_s)**:
At maximum elongation of the spring, F_s = k * x (where x is the elongation).
Setting F_s = F_f:
1000 N/m * x = 47.088 N
x = 0.047088 m or 4.7088 cm
Thus, the maximum distance moved by Block C is approximately **4.71 cm**.
2. Acceleration of Each Block at Max Elongation:
At maximum elongation, the spring force is at its peak, and we can analyze the forces acting on each block.
- **For Block A (mA)**:
F_net = F_f - F_s
F_net = 47.088 N - 1000 N/m * x
Using Newton's Second Law:
mA * aA = F_net
- **For Block B (mB)**:
It experiences the spring force forward:
mB * aB = F_s
aB = (1000 N/m * x) / mB
- **For Block C (mC)**:
The acceleration is primarily influenced by the spring force:
aC = (1000 N/m * x) / mC
Each block's acceleration can be compared using their respective masses and the spring's force at elongation.
Thus, the accelerations can be calculated as:
- aA = (F_f - k*x) / mA
- aB = k*x / mB
- aC = k*x / mC
This detailed analysis provides insights into the dynamics of the system under the influence of spring forces and friction.
- Mass of Block A (mA) = 6 kg
- Mass of Block B (mB) = 2 kg
- Mass of Block C (mC) = 1 kg
- Spring Stiffness (k) = 1000 N/m
- Coefficient of Friction (µ) = 0.8
1. Max Distance Moved by Block C:
When Block C is released, it will compress the spring and move until the spring force equals the frictional force acting on Block A.
- **Friction Force (F_f)**:
F_f = µ * mA * g
F_f = 0.8 * 6 kg * 9.81 m/s² = 47.088 N
- **Spring Force at Max Compression (F_s)**:
At maximum elongation of the spring, F_s = k * x (where x is the elongation).
Setting F_s = F_f:
1000 N/m * x = 47.088 N
x = 0.047088 m or 4.7088 cm
Thus, the maximum distance moved by Block C is approximately **4.71 cm**.
2. Acceleration of Each Block at Max Elongation:
At maximum elongation, the spring force is at its peak, and we can analyze the forces acting on each block.
- **For Block A (mA)**:
F_net = F_f - F_s
F_net = 47.088 N - 1000 N/m * x
Using Newton's Second Law:
mA * aA = F_net
- **For Block B (mB)**:
It experiences the spring force forward:
mB * aB = F_s
aB = (1000 N/m * x) / mB
- **For Block C (mC)**:
The acceleration is primarily influenced by the spring force:
aC = (1000 N/m * x) / mC
Each block's acceleration can be compared using their respective masses and the spring's force at elongation.
Thus, the accelerations can be calculated as:
- aA = (F_f - k*x) / mA
- aB = k*x / mB
- aC = k*x / mC
This detailed analysis provides insights into the dynamics of the system under the influence of spring forces and friction.
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In the figure shown masses of the blocks A,B and C are 6kg ,2kg and 1 ...
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In the figure shown masses of the blocks A,B and C are 6kg ,2kg and 1 kg respectively.mass of the spring is negligible and it's stiffness is 1000n/m.coefficent of friction between the block A and table is 0.8 initially block C is held such that spring is in relax position.the block is released from rest.Find a) max.dist.moved by block C b) acceleration of each block when elongation of spring is max ?
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In the figure shown masses of the blocks A,B and C are 6kg ,2kg and 1 kg respectively.mass of the spring is negligible and it's stiffness is 1000n/m.coefficent of friction between the block A and table is 0.8 initially block C is held such that spring is in relax position.the block is released from rest.Find a) max.dist.moved by block C b) acceleration of each block when elongation of spring is max ? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In the figure shown masses of the blocks A,B and C are 6kg ,2kg and 1 kg respectively.mass of the spring is negligible and it's stiffness is 1000n/m.coefficent of friction between the block A and table is 0.8 initially block C is held such that spring is in relax position.the block is released from rest.Find a) max.dist.moved by block C b) acceleration of each block when elongation of spring is max ? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the figure shown masses of the blocks A,B and C are 6kg ,2kg and 1 kg respectively.mass of the spring is negligible and it's stiffness is 1000n/m.coefficent of friction between the block A and table is 0.8 initially block C is held such that spring is in relax position.the block is released from rest.Find a) max.dist.moved by block C b) acceleration of each block when elongation of spring is max ?.
In the figure shown masses of the blocks A,B and C are 6kg ,2kg and 1 kg respectively.mass of the spring is negligible and it's stiffness is 1000n/m.coefficent of friction between the block A and table is 0.8 initially block C is held such that spring is in relax position.the block is released from rest.Find a) max.dist.moved by block C b) acceleration of each block when elongation of spring is max ? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about In the figure shown masses of the blocks A,B and C are 6kg ,2kg and 1 kg respectively.mass of the spring is negligible and it's stiffness is 1000n/m.coefficent of friction between the block A and table is 0.8 initially block C is held such that spring is in relax position.the block is released from rest.Find a) max.dist.moved by block C b) acceleration of each block when elongation of spring is max ? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the figure shown masses of the blocks A,B and C are 6kg ,2kg and 1 kg respectively.mass of the spring is negligible and it's stiffness is 1000n/m.coefficent of friction between the block A and table is 0.8 initially block C is held such that spring is in relax position.the block is released from rest.Find a) max.dist.moved by block C b) acceleration of each block when elongation of spring is max ?.
Solutions for In the figure shown masses of the blocks A,B and C are 6kg ,2kg and 1 kg respectively.mass of the spring is negligible and it's stiffness is 1000n/m.coefficent of friction between the block A and table is 0.8 initially block C is held such that spring is in relax position.the block is released from rest.Find a) max.dist.moved by block C b) acceleration of each block when elongation of spring is max ? in English & in Hindi are available as part of our courses for JEE.
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In the figure shown masses of the blocks A,B and C are 6kg ,2kg and 1 kg respectively.mass of the spring is negligible and it's stiffness is 1000n/m.coefficent of friction between the block A and table is 0.8 initially block C is held such that spring is in relax position.the block is released from rest.Find a) max.dist.moved by block C b) acceleration of each block when elongation of spring is max ?, a detailed solution for In the figure shown masses of the blocks A,B and C are 6kg ,2kg and 1 kg respectively.mass of the spring is negligible and it's stiffness is 1000n/m.coefficent of friction between the block A and table is 0.8 initially block C is held such that spring is in relax position.the block is released from rest.Find a) max.dist.moved by block C b) acceleration of each block when elongation of spring is max ? has been provided alongside types of In the figure shown masses of the blocks A,B and C are 6kg ,2kg and 1 kg respectively.mass of the spring is negligible and it's stiffness is 1000n/m.coefficent of friction between the block A and table is 0.8 initially block C is held such that spring is in relax position.the block is released from rest.Find a) max.dist.moved by block C b) acceleration of each block when elongation of spring is max ? theory, EduRev gives you an
ample number of questions to practice In the figure shown masses of the blocks A,B and C are 6kg ,2kg and 1 kg respectively.mass of the spring is negligible and it's stiffness is 1000n/m.coefficent of friction between the block A and table is 0.8 initially block C is held such that spring is in relax position.the block is released from rest.Find a) max.dist.moved by block C b) acceleration of each block when elongation of spring is max ? tests, examples and also practice JEE tests.
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