Consider the pulley system depicted in the figure. The block is prevented from moving by the applied force F. Assume the pulleys are massless and frictionless. An illustration shows a rectangular block of mass M suspended from a horizontal surface by a complex pulley system comprised of one large pulley, one small pulley, two short ropes, and one long rope. The pulleys are drawn such that the small pulley is some vertical distance below the large pulley and their axles are perpendicular to the page. The left side of the small pulley aligns vertically with the center of the large pulley. One of the short ropes suspends the block of mass M from the bottom of the small pulley's harness and has tension T5. The remaining short rope and the long rope are, respectively, anchored to the top and bottom of the large pulley's harness. This short rope has tension T4 and suspends the large pulley from the horizontal surface. The long rope extends from the large pulley and cradles the small pulley below, first passing along its left edge with tension T2 and then along its right edge with tension T3. The segment of tension T3 continues upward and passes over the large pulley from its right edge. The remaining segment of the long rope has tension T1 along the large pulley's left edge and is pulled with a downward force vector F. (a) Determine the tension in each section of rope. (Use the following as necessary: M and g.) T1= T2= T3= T4= T5= (b) Find the magnitude of F. (Use the following as necessary: M and g.) F = (c) What If? What should the magnitude of the force F be if the mass M is to have an upward acceleration of magnitude a? (Use the following as necessary: M, g, and a.)

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

Consider the pulley system depicted in the figure. The block is prevented from moving by the applied force F.

Assume the pulleys are massless and frictionless.

An illustration shows a rectangular block of mass M suspended from a horizontal surface by a complex pulley system comprised of one large pulley, one small pulley, two short ropes, and one long rope.

The pulleys are drawn such that the small pulley is some vertical distance below the large pulley and their axles are perpendicular to the page. The left side of the small pulley aligns vertically with the center of the large pulley.
One of the short ropes suspends the block of mass M from the bottom of the small pulley's harness and has tension T₅.
The remaining short rope and the long rope are, respectively, anchored to the top and bottom of the large pulley's harness. This short rope has tension T₄ and suspends the large pulley from the horizontal surface.
The long rope extends from the large pulley and cradles the small pulley below, first passing along its left edge with tension T₂ and then along its right edge with tension T_3. The segment of tension T₃ continues upward and passes over the large pulley from its right edge. The remaining segment of the long rope has tension T₁ along the large pulley's left edge and is pulled with a downward force vector F.

(a) Determine the tension in each section of rope. (Use the following as necessary: M and g.)

T₁=

T₂=

T₃=

T₄=

T₅=

(b) Find the magnitude of F. (Use the following as necessary: M and g.)

F =

(c) What If? What should the magnitude of the force F be if the mass M is to have an upward acceleration of magnitude a? (Use the following as necessary: M, g, and a.)

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 8 steps with 14 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions