You pull on a string with a horizontal force of magnitude Fyh = 56 N that is attached to a block of mass m, = 7.7 kg, then to the axle of a solid cylinder of mass m. = 4.4 kg and radius r = 0.4 m, then to a spring of spring constant k = 125 N/m. This is all done on an inclined plane where there is friction (us = 0.65 and u = 0.31 ), and the incline angle is 0 = 29 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. b00000000- Fyb b Speed First, what is the speed of the block and cylinder after you have pulled the block and cylinder 44 cm down the plane? v= 2.030 m/s StopDistance How far have you pulled the block and cylinder when everything stops? dstop=

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics
Section: Chapter Questions
Problem 7.11P
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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.

 

= 0.31 ), and the
kg and radiusr = 0.4 m, then to a spring of spring constant k
incline angle is 0 = 29 degrees. Everything starts at rest, and the spring is unstretched. The block slides down the plane, the cylinder rolls down the plane (without slipping),
You pull on a string with a horizontal force of magnitude Fyb = 56 N that is attached to a block of mass mh = 7.7 kg, then to the axle of a solid cylinder of mass m. = 4.4
= 125 N/m. This is all done on an inclined plane where there is friction ( us = 0.65 and
and the spring stretches.
0000000
Fyb
Speed
First, what is the speed of the block and cylinder after you have pulled the block and cylinder 44 cm down the plane?
V= 2.030 m/s
StopDistance
How far have you pulled the block and cylinder when everything stops?
dstop=
Transcribed Image Text:= 0.31 ), and the kg and radiusr = 0.4 m, then to a spring of spring constant k incline angle is 0 = 29 degrees. Everything starts at rest, and the spring is unstretched. The block slides down the plane, the cylinder rolls down the plane (without slipping), You pull on a string with a horizontal force of magnitude Fyb = 56 N that is attached to a block of mass mh = 7.7 kg, then to the axle of a solid cylinder of mass m. = 4.4 = 125 N/m. This is all done on an inclined plane where there is friction ( us = 0.65 and and the spring stretches. 0000000 Fyb Speed First, what is the speed of the block and cylinder after you have pulled the block and cylinder 44 cm down the plane? V= 2.030 m/s StopDistance How far have you pulled the block and cylinder when everything stops? dstop=
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