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An Indian rubber cube of side 10 cm has one side fixed while a tangential force of 1800 N is applied to the opposite side. Find the shear strain produced. Take η = 2 x 106 N/ m2.
- a)0.9
- b)0.009
- c)0.09
- d)9
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
An Indian rubber cube of side 10 cm has one side fixed while a tangent...
To calculate the shear strain, we use the formula:
shear strain = shear stress / shear modulus.
Shear stress is defined as force/area.
Here, the area is 10 cm × 10 cm = 0.1 m × 0.1 m = 0.01 m².
Therefore, the shear stress is 1800 N / 0.01 m² = 180,000 N/m².
Given the shear modulus (η) is 2 × 10⁶ N/m²,
the shear strain = 180,000 N/m² / 2 × 10⁶ N/m² = 0.09.
Hence, the correct answer is option c) 0.09.
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An Indian rubber cube of side 10 cm has one side fixed while a tangent...
Understanding the Problem
To find the shear strain produced in the rubber cube when a tangential force is applied, we can use the relationship between shear stress, shear modulus, and shear strain.
Given Data
- Side of the cube = 10 cm = 0.1 m
- Tangential Force (F) = 1800 N
- Shear Modulus (η) = 2 x 10^6 N/m²
Calculating Shear Stress
Shear stress (τ) can be calculated using the formula:
τ = F / A
Where A is the area of the face being sheared.
- Area (A) = side × side = 0.1 m × 0.1 m = 0.01 m²
Now, substituting the values:
τ = 1800 N / 0.01 m² = 180000 N/m²
Calculating Shear Strain
Shear strain (γ) can be calculated using the relationship:
γ = τ / η
Substituting the values of shear stress and shear modulus:
γ = 180000 N/m² / (2 x 10^6 N/m²)
Calculating this gives:
γ = 0.09
Conclusion
The shear strain produced in the rubber cube is 0.09. Hence, the correct answer is option 'C'.
To find the shear strain produced in the rubber cube when a tangential force is applied, we can use the relationship between shear stress, shear modulus, and shear strain.
Given Data
- Side of the cube = 10 cm = 0.1 m
- Tangential Force (F) = 1800 N
- Shear Modulus (η) = 2 x 10^6 N/m²
Calculating Shear Stress
Shear stress (τ) can be calculated using the formula:
τ = F / A
Where A is the area of the face being sheared.
- Area (A) = side × side = 0.1 m × 0.1 m = 0.01 m²
Now, substituting the values:
τ = 1800 N / 0.01 m² = 180000 N/m²
Calculating Shear Strain
Shear strain (γ) can be calculated using the relationship:
γ = τ / η
Substituting the values of shear stress and shear modulus:
γ = 180000 N/m² / (2 x 10^6 N/m²)
Calculating this gives:
γ = 0.09
Conclusion
The shear strain produced in the rubber cube is 0.09. Hence, the correct answer is option 'C'.
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An Indian rubber cube of side 10 cm has one side fixed while a tangential force of 1800 N is applied to the opposite side. Find the shear strain produced. Take η = 2 x 106N/ m2.a)0.9b)0.009c)0.09d)9Correct answer is option 'C'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about An Indian rubber cube of side 10 cm has one side fixed while a tangential force of 1800 N is applied to the opposite side. Find the shear strain produced. Take η = 2 x 106N/ m2.a)0.9b)0.009c)0.09d)9Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An Indian rubber cube of side 10 cm has one side fixed while a tangential force of 1800 N is applied to the opposite side. Find the shear strain produced. Take η = 2 x 106N/ m2.a)0.9b)0.009c)0.09d)9Correct answer is option 'C'. Can you explain this answer?.
An Indian rubber cube of side 10 cm has one side fixed while a tangential force of 1800 N is applied to the opposite side. Find the shear strain produced. Take η = 2 x 106N/ m2.a)0.9b)0.009c)0.09d)9Correct answer is option 'C'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about An Indian rubber cube of side 10 cm has one side fixed while a tangential force of 1800 N is applied to the opposite side. Find the shear strain produced. Take η = 2 x 106N/ m2.a)0.9b)0.009c)0.09d)9Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An Indian rubber cube of side 10 cm has one side fixed while a tangential force of 1800 N is applied to the opposite side. Find the shear strain produced. Take η = 2 x 106N/ m2.a)0.9b)0.009c)0.09d)9Correct answer is option 'C'. Can you explain this answer?.
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