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 300 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.

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Chapter2: Newton's Laws
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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
Hx = 0.18
6.0 kg
300
а.
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
all the way down? Include a new
free-body diagram and assume the
sliding mass starts from rest.
TUse the grasp method to
determine the answer
Transcribed Image Text: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 Hx = 0.18 6.0 kg 300 а. 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 all the way down? Include a new free-body diagram and assume the sliding mass starts from rest. TUse the grasp method to determine the answer
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