Q.3) A 200-kg load is supported by the rope and pulley system shown. Pulley A has a mass of 4 kg and the mass of the rope is negligible. Assume the pulley is frictionless and treat pulley A as a particle. a) If ß = 10°, determine the magnitude of the applied force P and its direction (a) in order to keep the system in static equilibrium assuming 0° ≤ a ≤ 90°. b) Given 0° ≤ a ≤ 90°, find the range of ß angles for which the system can be in static equilibrium (write an inequality for the range assuming ß cannot exceed 90°). P B

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter7: Dry Friction
Section: Chapter Questions
Problem 7.78P: The figure shows a steel bar being processed by a rolling mill. Given that P=80kN and r =0.016,...
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Q.3) A 200-kg load is supported by the rope and pulley system
shown. Pulley A has a mass of 4 kg and the mass of the rope is
negligible. Assume the pulley is frictionless and treat pulley A as
a particle.
a) If ß= 10°, determine the magnitude of the applied force
P and its direction (a) in order to keep the system in static
equilibrium assuming 0° ≤ a ≤ 90°.
b) Given 0° ≤ a ≤ 90°, find the range of ß angles for which
the system can be in static equilibrium (write an inequality
for the range assuming ß cannot exceed 90°).
P
A
B
Transcribed Image Text:Q.3) A 200-kg load is supported by the rope and pulley system shown. Pulley A has a mass of 4 kg and the mass of the rope is negligible. Assume the pulley is frictionless and treat pulley A as a particle. a) If ß= 10°, determine the magnitude of the applied force P and its direction (a) in order to keep the system in static equilibrium assuming 0° ≤ a ≤ 90°. b) Given 0° ≤ a ≤ 90°, find the range of ß angles for which the system can be in static equilibrium (write an inequality for the range assuming ß cannot exceed 90°). P A B
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