Q.1) Blocks A (20 kg) and B (28 kg) are connected to cylinder C (45 kg) by separate ropes passing over two smooth pulleys as shown. The ropes are attached to the center of the cylinder where force P is also applied. Assume the pulleys have negligible mass and cylinder C rests on a smooth surface with negligible friction. a) Determine the contact force between the cylinder and the ground as well as the magnitude of the applied force P necessary to maintain equilibrium if 0 = 15⁰. b) Determine the maximum angle for which equilibrium can be maintained assuming the orientation of the two other ropes remain the same. Find the corresponding magnitude of force P in this scenario. 12 #
Q.1) Blocks A (20 kg) and B (28 kg) are connected to cylinder C (45 kg) by separate ropes passing over two smooth pulleys as shown. The ropes are attached to the center of the cylinder where force P is also applied. Assume the pulleys have negligible mass and cylinder C rests on a smooth surface with negligible friction. a) Determine the contact force between the cylinder and the ground as well as the magnitude of the applied force P necessary to maintain equilibrium if 0 = 15⁰. b) Determine the maximum angle for which equilibrium can be maintained assuming the orientation of the two other ropes remain the same. Find the corresponding magnitude of force P in this scenario. 12 #
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter4: Coplanar Equilibrium Analysis
Section: Chapter Questions
Problem 4.44P: The uniform ladder of weight W is raised slowly by applying a vertical force P to the rope at A....
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Directions: Free Body Diagrams (FBD) must be included for equilibrium problems

Transcribed Image Text:Q.1) Blocks A (20 kg) and B (28 kg) are connected to cylinder C (45 kg) by separate ropes passing
over two smooth pulleys as shown. The ropes are attached to the center of the cylinder where
force P is also applied. Assume the pulleys have negligible mass and cylinder Crests on a smooth
surface with negligible friction.
a) Determine the contact force between the cylinder
and the ground as well as the magnitude of the
applied force P necessary to maintain equilibrium if
0 = 15⁰.
b) Determine the maximum angle for which
equilibrium can be maintained assuming the
orientation of the two other ropes remain the same.
Find the corresponding magnitude of force P in this
scenario.
12
Expert Solution

Step 1
Given,
The mass of the blocks and cylinder. And the angle of the ropes that makes with horizontal axis.
Answer: a. Contact force= 53.558 N & Applied force= 358.11 N
b. Maximum angle= 22.91 degree & corresponding force= 375.53 N
Explanation:
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9781305501607
Author:
Andrew Pytel And Jaan Kiusalaas
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CENGAGE L