EBK PHYSICS FUNDAMENTALS
EBK PHYSICS FUNDAMENTALS
2nd Edition
ISBN: 9780100265493
Author: Coletta
Publisher: YUZU
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Chapter 5, Problem 22P
To determine

To describe:The amount of spring stretch when the mass is along the circular path is to be calculated.

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A 1.05 kg mass is attached to a spring of force constant 10.8 N/cm and placed on a frictionless surface. By how much will the spring stretch if the mass moves along a circular path of radius 0.495 m at a rate of 1.96 revolutions per second?
A 1.01 kg mass is attached to a spring of force constant 10.4 N/cm and placed on a frictionless surface.By how much will the spring stretch if the mass moves along a circular path of radius 0.520 m at a rate of 1.82 revolutions per second?
You pull on a string with a horizontal force of magnitude Fyb = 44 N that is attached to a block of mass mb = 6.1 kg, then to the axle of a solid cylinder of mass mc = 4.7 kg and radius r = 0.4 m, then to a spring of spring constant k = 135 N/m. This is all done on an inclined plane where there is friction ( μs = 0.61 and μk = 0.34 ), and the incline angle is θ = 30 degrees. Everything starts at rest, and the spring is unstretched. The block slides down the plane, the cylinder rolls down the plane (without slipping), and the spring stretches. How far have you pulled the block and cylinder when everything stops? The velocity when it has traveled 44 cm down the plane is 2.030 m/s.
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