PHY-133 Section 60 Analytical Physics I Fall 2017 m 3) Aranap making an angle of

Question

PHY-133 Section 60 Analytical Physics I Fall 2017 m 3) Aranap making an angle of -30.or with the horinttal is against a wall. Amass of m-20.0 kg is on the ramp, and is attached to the wall by a spring whose equlsbeium length is L-1.20m, and whose spring constant is &900. N/m. The static coefficient of friction between the mass and the raanp is . 0.800. 3) The spring is initially unstretched. The mass is then palled further down the ramp by an additional 0.600 m, and let go. What is the maximium possible range of positions (as measured from the wall, along the ramp) at which the mass eventually comes to rest? Figure 3-A ramp making an angle of -300° with the horizontal is against a wal. A mass ofm-20.0 is on the ramp, and is attached to the wil by a spring whose equlibrium length is -1.20m, and whose spring constant is k -900.N/m. The statie coefficient of friction between the mass and the ramp is .-0.800,

Explanation / Answer

let maximum distance from wall = (L+d)

=> kd = mgsin30 + umgcos30

=> max distance = L + (mgsin30 + umgcos30)/k = 1.2 + (20x9.81/900)(0.5 + 0.8 x 0.866) = 1.46 m

let minimum distance from wall = (L-y)

=> ky = umgcos30 - mgsin30

=> minimum distance = L - (umgcos30 - mgsin30)/k = 1.2 - (20x9.81/900)(0.8 x 0.866 - 0.5) = 1.158 m

range is (1.158 m, 1.46 m)

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