Problem 3 The solid homogeneous cylinder of the weight w = 32.2 lb is released from rest on the ramp. Assume the radius of the cylinder r = 0.5 ft, and the slope angle of the ramp = 30°. Note: Centroidal moment of inertia of the cylinder is: I = ½m r² 1. Consider the cylinder is rolling with no slippage; draw the free body diagrams of the cylinder showing equilibrium of the external forces with inertia forces. 2. Based on the free body diagram drawn and conditions for pure rolling, write down the equations of dynamic equilibrium and determine the acceleration of the mass center, point G, (a) and the angular acceleration of the cylinder (a). w = 32.2 lb 3. Determine the minimum coefficient of static friction if the cylinder is rolling with no slippage. r = 6 in H's Ик

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter7: Dry Friction
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Problem 3
The solid homogeneous cylinder of the weight w = 32.2 lb is released
from rest on the ramp. Assume the radius of the cylinder r = 0.5 ft, and
the slope angle of the ramp = 30°. Note: Centroidal moment of inertia
of the cylinder is: I = ½m r²
1. Consider the cylinder is rolling with no slippage; draw the free body
diagrams of the cylinder showing equilibrium of the external forces with
inertia forces.
2. Based on the free body diagram drawn and conditions for pure rolling,
write down the equations of dynamic equilibrium and determine the
acceleration of the mass center, point G, (a) and the angular acceleration
of the cylinder (a).
w = 32.2 lb
3. Determine the minimum coefficient of static friction if the cylinder is rolling with no slippage.
r = 6 in
H's
Ик
Transcribed Image Text:Problem 3 The solid homogeneous cylinder of the weight w = 32.2 lb is released from rest on the ramp. Assume the radius of the cylinder r = 0.5 ft, and the slope angle of the ramp = 30°. Note: Centroidal moment of inertia of the cylinder is: I = ½m r² 1. Consider the cylinder is rolling with no slippage; draw the free body diagrams of the cylinder showing equilibrium of the external forces with inertia forces. 2. Based on the free body diagram drawn and conditions for pure rolling, write down the equations of dynamic equilibrium and determine the acceleration of the mass center, point G, (a) and the angular acceleration of the cylinder (a). w = 32.2 lb 3. Determine the minimum coefficient of static friction if the cylinder is rolling with no slippage. r = 6 in H's Ик
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