3. Two masses, 4.0 kg and 6.0 kg, are connected by a massless" rope over a "frictionless" pulley as pictured in the diagram. The ramp is inclined at 30.0° and the coefficient of kinetic friction on the ramp is 0.18. 4.0 kg HK 0.18 6.0 kg 30 a. Draw free-body diagrams of both masses. b. Determine the acceleration of the system once it begins to slide.

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Chapter4: Dynamics: Force And Newton's Laws Of Motion
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3. Two masses, 4.0 kgand 6.0 kg, are connected by a "massless" rope over a "frictionless" pulley as
pictured in the diagram. The ramp is inclined at 30.0° and the coefficient of kinetic friction on the ramp is
0.18.
4.0 kg
HK 0.18
6.0 kg
30
a. Draw free-body diagrams of both masses.
b. Determine the acceleration of the system once it begins to slide.
c. Determine the tension in the rope.
d. If the rope breaks when the 4.0-kg mass is 3.0 m from the bottom of the ramp, how long will it
take for the mass to slide al the way down? Include a new free-body diagram and assume the
sliding mass starts from rest.
Transcribed Image Text:3. Two masses, 4.0 kgand 6.0 kg, are connected by a "massless" rope over a "frictionless" pulley as pictured in the diagram. The ramp is inclined at 30.0° and the coefficient of kinetic friction on the ramp is 0.18. 4.0 kg HK 0.18 6.0 kg 30 a. Draw free-body diagrams of both masses. b. Determine the acceleration of the system once it begins to slide. c. Determine the tension in the rope. d. If the rope breaks when the 4.0-kg mass is 3.0 m from the bottom of the ramp, how long will it take for the mass to slide al the way down? Include a new free-body diagram and assume the sliding mass starts from rest.
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