A screw is rotated as shown to provide tension on a cable that passess over a frictionless pulley and pulls on the middle block as shown. The weight of the blocks are W, = 120 lb, W, = 164 lb, W, = 146 lb and the coefficient of static friction for each surface is, µ, = 0.50, µz = 0.43, µz = 0.23. If the bolt with square threads, has a radius, r = 0.32 in, a lead, L = 0.63 in, and a coefficient of friction of µ = 0.41 what is the torque necessary to cause one or both blocks to move? w, Frictionless Pulley w, w, Torque Direction
A screw is rotated as shown to provide tension on a cable that passess over a frictionless pulley and pulls on the middle block as shown. The weight of the blocks are W, = 120 lb, W, = 164 lb, W, = 146 lb and the coefficient of static friction for each surface is, µ, = 0.50, µz = 0.43, µz = 0.23. If the bolt with square threads, has a radius, r = 0.32 in, a lead, L = 0.63 in, and a coefficient of friction of µ = 0.41 what is the torque necessary to cause one or both blocks to move? w, Frictionless Pulley w, w, Torque Direction
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:### Problem Description
A screw is rotated as shown to provide tension on a cable that passes over a frictionless pulley and pulls on the middle block as illustrated. The weights of the blocks are as follows:
- \( W_1 = 120 \, \text{lb} \)
- \( W_2 = 164 \, \text{lb} \)
- \( W_3 = 146 \, \text{lb} \)
The coefficients of static friction for each surface are:
- \( \mu_1 = 0.50 \)
- \( \mu_2 = 0.43 \)
- \( \mu_3 = 0.23 \)
The bolt has square threads with the following specifications:
- Radius \( r = 0.32 \, \text{in} \)
- Lead \( L = 0.63 \, \text{in} \)
- Coefficient of friction for the bolt \( \mu = 0.41 \)
**Question:** Determine the torque necessary to cause one or both blocks to move.
### Diagram Explanation
The diagram shows three blocks stacked on top of each other, labeled \( W_1 \), \( W_2 \), and \( W_3 \). Each block is connected with surfaces having different coefficients of static friction (\( \mu_1 \), \( \mu_2 \), and \( \mu_3 \)). A cable runs over a frictionless pulley and is connected to a mechanism with a screw that provides the torque. The mechanism affects the middle block (\( W_2 \)).
The rotation of the screw in the indicated "Torque Direction" applies tension to the cable.
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