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In constructing a large mobile, an artist hangs an aluminum sphere of mass 6.0 kg from a vertical steel wire 0.50 m long and 2.5 × 10−3 cm2in cross-sectional area. On the bottom of the sphere he attaches a similar steel wire, from which he hangs a brass cube of mass 10.0 kg. Compute the elongation.
- a)3.7 mm upper, 1.0 mm lower
- b)3.4 mm upper, 1.0 mm lower
- c)3.5 mm upper, 1.1 mm lower
- d)1.6 mm upper, 1.0 mm lower
Correct answer is option 'D'. Can you explain this answer?
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In constructing a large mobile, an artist hangs an aluminum sphere of ...
Hence 1.6 mm upper, 1.0 mm lower is correct.
Most Upvoted Answer
In constructing a large mobile, an artist hangs an aluminum sphere of ...
Mm in diameter. The sphere is initially at rest and is displaced by 5.0 cm horizontally from its equilibrium position. Calculate the period of oscillation of the sphere.
We can use the formula for the period of a simple harmonic oscillator:
T = 2π √(m/k)
where T is the period, m is the mass of the sphere, and k is the spring constant. In this case, the wire acts like a spring, and its spring constant can be calculated using the formula:
k = F/x
where F is the restoring force and x is the displacement. The restoring force is the weight of the sphere, which can be calculated using:
F = mg
where g is the acceleration due to gravity. Substituting these values, we get:
k = (mg)/x = (6.0 kg)(9.81 m/s^2)/(0.05 m) = 1177.8 N/m
Now we can calculate the period:
T = 2π √(m/k) = 2π √(6.0 kg/1177.8 N/m) ≈ 1.84 s
Therefore, the period of oscillation of the sphere is approximately 1.84 seconds.
We can use the formula for the period of a simple harmonic oscillator:
T = 2π √(m/k)
where T is the period, m is the mass of the sphere, and k is the spring constant. In this case, the wire acts like a spring, and its spring constant can be calculated using the formula:
k = F/x
where F is the restoring force and x is the displacement. The restoring force is the weight of the sphere, which can be calculated using:
F = mg
where g is the acceleration due to gravity. Substituting these values, we get:
k = (mg)/x = (6.0 kg)(9.81 m/s^2)/(0.05 m) = 1177.8 N/m
Now we can calculate the period:
T = 2π √(m/k) = 2π √(6.0 kg/1177.8 N/m) ≈ 1.84 s
Therefore, the period of oscillation of the sphere is approximately 1.84 seconds.
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In constructing a large mobile, an artist hangs an aluminum sphere of mass 6.0 kg from a vertical steel wire 0.50 m long and 2.5 × 10−3 cm2in cross-sectional area. On the bottom of the sphere he attaches a similar steel wire, from which he hangs a brass cube of mass 10.0 kg. Compute the elongation.a)3.7 mm upper, 1.0 mm lowerb)3.4 mm upper, 1.0 mm lowerc)3.5 mm upper, 1.1 mm lowerd)1.6 mm upper, 1.0 mm lowerCorrect answer is option 'D'. Can you explain this answer?
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In constructing a large mobile, an artist hangs an aluminum sphere of mass 6.0 kg from a vertical steel wire 0.50 m long and 2.5 × 10−3 cm2in cross-sectional area. On the bottom of the sphere he attaches a similar steel wire, from which he hangs a brass cube of mass 10.0 kg. Compute the elongation.a)3.7 mm upper, 1.0 mm lowerb)3.4 mm upper, 1.0 mm lowerc)3.5 mm upper, 1.1 mm lowerd)1.6 mm upper, 1.0 mm lowerCorrect answer is option 'D'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about In constructing a large mobile, an artist hangs an aluminum sphere of mass 6.0 kg from a vertical steel wire 0.50 m long and 2.5 × 10−3 cm2in cross-sectional area. On the bottom of the sphere he attaches a similar steel wire, from which he hangs a brass cube of mass 10.0 kg. Compute the elongation.a)3.7 mm upper, 1.0 mm lowerb)3.4 mm upper, 1.0 mm lowerc)3.5 mm upper, 1.1 mm lowerd)1.6 mm upper, 1.0 mm lowerCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In constructing a large mobile, an artist hangs an aluminum sphere of mass 6.0 kg from a vertical steel wire 0.50 m long and 2.5 × 10−3 cm2in cross-sectional area. On the bottom of the sphere he attaches a similar steel wire, from which he hangs a brass cube of mass 10.0 kg. Compute the elongation.a)3.7 mm upper, 1.0 mm lowerb)3.4 mm upper, 1.0 mm lowerc)3.5 mm upper, 1.1 mm lowerd)1.6 mm upper, 1.0 mm lowerCorrect answer is option 'D'. Can you explain this answer?.
In constructing a large mobile, an artist hangs an aluminum sphere of mass 6.0 kg from a vertical steel wire 0.50 m long and 2.5 × 10−3 cm2in cross-sectional area. On the bottom of the sphere he attaches a similar steel wire, from which he hangs a brass cube of mass 10.0 kg. Compute the elongation.a)3.7 mm upper, 1.0 mm lowerb)3.4 mm upper, 1.0 mm lowerc)3.5 mm upper, 1.1 mm lowerd)1.6 mm upper, 1.0 mm lowerCorrect answer is option 'D'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about In constructing a large mobile, an artist hangs an aluminum sphere of mass 6.0 kg from a vertical steel wire 0.50 m long and 2.5 × 10−3 cm2in cross-sectional area. On the bottom of the sphere he attaches a similar steel wire, from which he hangs a brass cube of mass 10.0 kg. Compute the elongation.a)3.7 mm upper, 1.0 mm lowerb)3.4 mm upper, 1.0 mm lowerc)3.5 mm upper, 1.1 mm lowerd)1.6 mm upper, 1.0 mm lowerCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In constructing a large mobile, an artist hangs an aluminum sphere of mass 6.0 kg from a vertical steel wire 0.50 m long and 2.5 × 10−3 cm2in cross-sectional area. On the bottom of the sphere he attaches a similar steel wire, from which he hangs a brass cube of mass 10.0 kg. Compute the elongation.a)3.7 mm upper, 1.0 mm lowerb)3.4 mm upper, 1.0 mm lowerc)3.5 mm upper, 1.1 mm lowerd)1.6 mm upper, 1.0 mm lowerCorrect answer is option 'D'. Can you explain this answer?.
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In constructing a large mobile, an artist hangs an aluminum sphere of mass 6.0 kg from a vertical steel wire 0.50 m long and 2.5 × 10−3 cm2in cross-sectional area. On the bottom of the sphere he attaches a similar steel wire, from which he hangs a brass cube of mass 10.0 kg. Compute the elongation.a)3.7 mm upper, 1.0 mm lowerb)3.4 mm upper, 1.0 mm lowerc)3.5 mm upper, 1.1 mm lowerd)1.6 mm upper, 1.0 mm lowerCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for In constructing a large mobile, an artist hangs an aluminum sphere of mass 6.0 kg from a vertical steel wire 0.50 m long and 2.5 × 10−3 cm2in cross-sectional area. On the bottom of the sphere he attaches a similar steel wire, from which he hangs a brass cube of mass 10.0 kg. Compute the elongation.a)3.7 mm upper, 1.0 mm lowerb)3.4 mm upper, 1.0 mm lowerc)3.5 mm upper, 1.1 mm lowerd)1.6 mm upper, 1.0 mm lowerCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of In constructing a large mobile, an artist hangs an aluminum sphere of mass 6.0 kg from a vertical steel wire 0.50 m long and 2.5 × 10−3 cm2in cross-sectional area. On the bottom of the sphere he attaches a similar steel wire, from which he hangs a brass cube of mass 10.0 kg. Compute the elongation.a)3.7 mm upper, 1.0 mm lowerb)3.4 mm upper, 1.0 mm lowerc)3.5 mm upper, 1.1 mm lowerd)1.6 mm upper, 1.0 mm lowerCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice In constructing a large mobile, an artist hangs an aluminum sphere of mass 6.0 kg from a vertical steel wire 0.50 m long and 2.5 × 10−3 cm2in cross-sectional area. On the bottom of the sphere he attaches a similar steel wire, from which he hangs a brass cube of mass 10.0 kg. Compute the elongation.a)3.7 mm upper, 1.0 mm lowerb)3.4 mm upper, 1.0 mm lowerc)3.5 mm upper, 1.1 mm lowerd)1.6 mm upper, 1.0 mm lowerCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice Class 11 tests.
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