1. A spring having a modulus of 8.8 N/mm has a natural length of 250 mm. Work equal to 90,000 N-mm is exerted in pulling it from a length of 300 mm to a length L mm. find the length L.

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Chapter1: Functions And Models
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SHOW COMPLETE SOLUTIONS:
1. A spring having a modulus of 8.8 N/mm has a natural length of 250 mm. Work equal
to 90,000 N-mm is exerted in pulling it from a length of 300 mm to a length L mm. find the
length L.
2.
Solve for the moment of inertia with respect to the y-axis for the area bounded by
the curves, y? =x' and the line y = x.
3.
As a water tank is being raised, water spills out at a constant rate of 2 ft per foot of
rise. If the weight of the tank is 200 Ibs and it originally contains 1000 ft of water,
solve the total work done in raising the tank by 20 ft.
4. A 100 ft. rope hangs of the slide of the building. The rope weighs 2lbs/ft. How much
work is needed to haul up 30 feet on the rope?
5. A heavy rope, 30 ft long weighing 21 lbs., hangs over the edge of a building 100ft.
high. How much work W is done in pulling the rope up 20ft?
Transcribed Image Text:SHOW COMPLETE SOLUTIONS: 1. A spring having a modulus of 8.8 N/mm has a natural length of 250 mm. Work equal to 90,000 N-mm is exerted in pulling it from a length of 300 mm to a length L mm. find the length L. 2. Solve for the moment of inertia with respect to the y-axis for the area bounded by the curves, y? =x' and the line y = x. 3. As a water tank is being raised, water spills out at a constant rate of 2 ft per foot of rise. If the weight of the tank is 200 Ibs and it originally contains 1000 ft of water, solve the total work done in raising the tank by 20 ft. 4. A 100 ft. rope hangs of the slide of the building. The rope weighs 2lbs/ft. How much work is needed to haul up 30 feet on the rope? 5. A heavy rope, 30 ft long weighing 21 lbs., hangs over the edge of a building 100ft. high. How much work W is done in pulling the rope up 20ft?
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