1. A pulley device is used to hurl projectiles from a ramp (mk = 0.26) as illustrated in the diagram. The 5.0-kg mass is accelerated from rest at the bottom of the 4.0 m long ramp by a falling 20.0-kg mass suspended over a frictionless pulley. Just as the 5.0-kg mass reaches the top of the ramp, it detaches from the rope (neglect the mass of the rope) and becomes projected from the ramp. 4.0m 5.0 kg 30 20.0 kg 60m a. Determine the acceleration of the 5.0-kg mass along the ramp. (Provide free-body diagrams for both masses.) b. Determine the tension in the rope during the acceleration of the 5.0-kg mass along the ramp. c. Determine the speed of projection of the 5.0-kg mass from the top of the ramp. d. Determine the horizontal range of the 5.0-kg mass from the base of the ramp.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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1. A pulley device is used to hurl projectiles from a
ramp (mk = 0.26) as illustrated in the diagram.
The 5.0-kg mass is accelerated from rest at the
bottom of the 4.0 m long ramp by a falling
20.0-kg mass suspended over a frictionless
pulley. Just as the 5.0-kg mass reaches the top
of the ramp, it detaches from the rope (neglect
the mass of the rope) and becomes projected
from the ramp.
%3D
4.0 m
H =026
5.0 kg
30
60m
20.0 kg
a. Determine the acceleration of the 5.0-kg
mass along the ramp. (Provide
free-body diagrams for both masses.)
b. Determine the tension in the rope during
the acceleration of the 5.0-kg mass
along the ramp.
c. Determine the speed of projection of the
5.0-kg mass from the top of the ramp.
d. Determine the horizontal range of the
5.0-kg mass from the base of the ramp.
Use the grasp method to
determine the answer
Transcribed Image Text:1. A pulley device is used to hurl projectiles from a ramp (mk = 0.26) as illustrated in the diagram. The 5.0-kg mass is accelerated from rest at the bottom of the 4.0 m long ramp by a falling 20.0-kg mass suspended over a frictionless pulley. Just as the 5.0-kg mass reaches the top of the ramp, it detaches from the rope (neglect the mass of the rope) and becomes projected from the ramp. %3D 4.0 m H =026 5.0 kg 30 60m 20.0 kg a. Determine the acceleration of the 5.0-kg mass along the ramp. (Provide free-body diagrams for both masses.) b. Determine the tension in the rope during the acceleration of the 5.0-kg mass along the ramp. c. Determine the speed of projection of the 5.0-kg mass from the top of the ramp. d. Determine the horizontal range of the 5.0-kg mass from the base of the ramp. Use the grasp method to determine the answer
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