Block 2 of mass 1.30 kg is stacked on top of another Block 1 of mass 8.60 kg on an incline plane of angle 38° with respect to the horizontal. The two blocks are linked by a rope which passes over a pulley at the top of the incline, as shown in the diagram. The coefficient of kinetic friction between all surfaces is 0.45. (g 9.8m/s2,cos 38° = 0.788, sin 38° = 0.616) a) Draw the free body diagrams of each block, b) Write Newton's second law components for each block, c) What is the acceleration of each block? d) If the coefficient of static friction between all surfaces is 0.3 find the angle 8 the plane must be inclined for sliding to commence. NOTE: Solutions involving the energy will not be accepted.

International Edition---engineering Mechanics: Statics, 4th Edition
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Chapter7: Dry Friction
Section: Chapter Questions
Problem 7.49P
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Block 2 of mass 1.30 kg is stacked on top of another Block 1 of mass 8.60 kg on an incline plane of
angle 38° with respect to the horizontal. The two blocks are linked by a rope which passes over a
pulley at the top of the incline, as shown in the diagram. The coefficient of kinetic friction between all
surfaces is 0.45.
(g = 9.8m/s2,cos 38° = 0.788, sin 38° = 0.616)
a) Draw the free body diagrams of each block,
b) Write Newton's second law components for each block,
c) What is the acceleration of each block?
d) If the coefficient of static friction between all surfaces is 0.3 find the angle 0 the plane must be
inclined for sliding to commence.
NOTE: Solutions involving the energy will not be accepted.
38.0
Transcribed Image Text:Block 2 of mass 1.30 kg is stacked on top of another Block 1 of mass 8.60 kg on an incline plane of angle 38° with respect to the horizontal. The two blocks are linked by a rope which passes over a pulley at the top of the incline, as shown in the diagram. The coefficient of kinetic friction between all surfaces is 0.45. (g = 9.8m/s2,cos 38° = 0.788, sin 38° = 0.616) a) Draw the free body diagrams of each block, b) Write Newton's second law components for each block, c) What is the acceleration of each block? d) If the coefficient of static friction between all surfaces is 0.3 find the angle 0 the plane must be inclined for sliding to commence. NOTE: Solutions involving the energy will not be accepted. 38.0
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