The pulley of Fig. wheel that fits loosely over a t in.-diameter shaft. A rope passes over the pulley and is attached to a 50-lb weight. The static and kinetic coefficients of friction between the consists of a 4-in.-diameter pulley and the shaft are 0.35 and 0.25, respectively. The weight of the pulley is 2 lb. The rope being pulled makes an angle 8 = 90° with the horizontal. Determine the force necessary to Just start lowering the weight. P

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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The pulley of Fig.
wheel that fits loosely over a t in.-diameter shaft. A rope
passes over the pulley and is attached to a 50-lb weight.
The static and kinetic coefficients of friction between the
consists of a 4-in.-diameter
pulley and the shaft are 0.35 and 0.25, respectively. The
weight of the pulley is 2 lb. The rope being pulled makes
an angle 8 = 90° with the horizontal. Determine the force
necessary to
Just start lowering the weight.
P
Transcribed Image Text:The pulley of Fig. wheel that fits loosely over a t in.-diameter shaft. A rope passes over the pulley and is attached to a 50-lb weight. The static and kinetic coefficients of friction between the consists of a 4-in.-diameter pulley and the shaft are 0.35 and 0.25, respectively. The weight of the pulley is 2 lb. The rope being pulled makes an angle 8 = 90° with the horizontal. Determine the force necessary to Just start lowering the weight. P
Expert Solution
Step 1

Given:

The diameter of the wheel, D = 4 in

The diameter of the shaft, d = ½ in

The magnitude of weight, W = 50 lb

The static friction between the pulley and shaft, μs = 0.35

The kinetic friction between pulley and shaft, μk = 0.25 lb

The weight of the pulley, w = 2 lb

The angle made by rope with horizontal, θ = 90⁰

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