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
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Author:Andrew Pytel And Jaan Kiusalaas
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Chapter7: Dry Friction
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Problem 7.77P: The cone clutch transmits the torque C through a conical friction surface with cone angle . The...
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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
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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